Nonlinear analysis, ISSN 0362-546X, 2010, Volume 72, Issue 5, pp. 2259 - 2261

The main aim of this paper is to investigate the equivalence of vectorial versions of fixed point theorems in generalized cone metric spaces and scalar...

[formula omitted]-cone Cauchy sequence | [formula omitted]-cone metric space | Banach contraction principle | Kannan’s fixed point theorem | Chatterjea’s fixed point theorem | T V S-cone Cauchy sequence | Kannan's fixed point theorem | Chatterjea's fixed point theorem | T V S-cone metric space | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | TVS-cone metric space | TVS-cone Cauchy sequence

[formula omitted]-cone Cauchy sequence | [formula omitted]-cone metric space | Banach contraction principle | Kannan’s fixed point theorem | Chatterjea’s fixed point theorem | T V S-cone Cauchy sequence | Kannan's fixed point theorem | Chatterjea's fixed point theorem | T V S-cone metric space | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | TVS-cone metric space | TVS-cone Cauchy sequence

Journal Article

Topology and its applications, ISSN 0166-8641, 2012, Volume 159, Issue 1, pp. 49 - 56

Several characterizations of MT -functions are first given in this paper. Applying the characterizations of MT -functions, we establish some existence theorems...

[formula omitted]-function | Mizoguchi–Takahashiʼs fixed point theorem | Nadlerʼs fixed point theorem | Banach contraction principle | Coincidence point | Berinde–Berinde fixed point theorem | Function of contractive factor | Berinde-Berinde fixed point theorem | Nadler's fixed point theorem | MT-function | Mizoguchi-Takahashi's fixed point theorem | MATHEMATICS | MATHEMATICS, APPLIED | WEAKLY PICARD MAPPINGS

[formula omitted]-function | Mizoguchi–Takahashiʼs fixed point theorem | Nadlerʼs fixed point theorem | Banach contraction principle | Coincidence point | Berinde–Berinde fixed point theorem | Function of contractive factor | Berinde-Berinde fixed point theorem | Nadler's fixed point theorem | MT-function | Mizoguchi-Takahashi's fixed point theorem | MATHEMATICS | MATHEMATICS, APPLIED | WEAKLY PICARD MAPPINGS

Journal Article

Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 9/2019, Volume 50, Issue 3, pp. 603 - 624

... and Mizoguchi–Takahashi Type Under Relaxed Conditions Wei-Shih Du 1 Received: 17 July 2018 / Accepted: 19 September 2018 / Published online: 6 October 2018 © Sociedade...

Caristi’s fixed point theorem | Below sequentially lower semicontinuous from above | Essential distance | Theoretical, Mathematical and Computational Physics | Mathematics | Uniformly below sequentially lower semicontinuous from above | {{\mathcal {M}}}{{\mathcal {T}}}(\lambda )$$ M T ( λ ) -function | 54H25 | {{\mathcal {M}}}{{\mathcal {T}}}$$ M T -function ( $${\mathcal {R}}$$ R -function) | 47H10 | Mizoguchi–Takahashi’s fixed point theorem | Mathematics, general | Approximate fixed point property | 54C60 | 47H04 | MT-function (R-function) | MT(λ) -function | MT (gamma)-function | EXISTENCE | MATHEMATICS | Caristi's fixed point theorem | MAPPINGS | EKELANDS VARIATIONAL PRINCIPLE | Mizoguchi-Takahashi's fixed point theorem

Caristi’s fixed point theorem | Below sequentially lower semicontinuous from above | Essential distance | Theoretical, Mathematical and Computational Physics | Mathematics | Uniformly below sequentially lower semicontinuous from above | {{\mathcal {M}}}{{\mathcal {T}}}(\lambda )$$ M T ( λ ) -function | 54H25 | {{\mathcal {M}}}{{\mathcal {T}}}$$ M T -function ( $${\mathcal {R}}$$ R -function) | 47H10 | Mizoguchi–Takahashi’s fixed point theorem | Mathematics, general | Approximate fixed point property | 54C60 | 47H04 | MT-function (R-function) | MT(λ) -function | MT (gamma)-function | EXISTENCE | MATHEMATICS | Caristi's fixed point theorem | MAPPINGS | EKELANDS VARIATIONAL PRINCIPLE | Mizoguchi-Takahashi's fixed point theorem

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2010, Volume 2010, Issue 1, pp. 1 - 9

... Fixed Point Theorems for Nonlinear Contractions Satisﬁed Mizoguchi-T akahashi’ s Condition in Quasiordered Metric Spaces Wei-Shih Du Department of Mathematics...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | ORDINARY DIFFERENTIAL-EQUATIONS | SETS | Fixed point theory | Nonlinear theories | Usage | Metric spaces | Research | Ordinary differential equations | Nonlinearity | Theorems | Maps | Metric space | Fixed points (mathematics)

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | ORDINARY DIFFERENTIAL-EQUATIONS | SETS | Fixed point theory | Nonlinear theories | Usage | Metric spaces | Research | Ordinary differential equations | Nonlinearity | Theorems | Maps | Metric space | Fixed points (mathematics)

Journal Article

Symmetry (Basel), ISSN 2073-8994, 2019, Volume 11, Issue 6, p. 789

Two existence theorems of maximal elements in H-spaces are obtained without compactness. More accurately, we deal with the correspondence to be of L -majorized...

Eigenvector problem (EIVP) | H-space | majorized | Maximal element | Abstract economy | KKM THEOREM | EXISTENCE | L-phi-majorized | maximal element | MULTIDISCIPLINARY SCIENCES | EQUILIBRIUM | MINIMAX INEQUALITIES | eigenvector problem (EIVP) | abstract economy | QUASI-VARIATIONAL INEQUALITY | ℒφ-majorized

Eigenvector problem (EIVP) | H-space | majorized | Maximal element | Abstract economy | KKM THEOREM | EXISTENCE | L-phi-majorized | maximal element | MULTIDISCIPLINARY SCIENCES | EQUILIBRIUM | MINIMAX INEQUALITIES | eigenvector problem (EIVP) | abstract economy | QUASI-VARIATIONAL INEQUALITY | ℒφ-majorized

Journal Article

ACS Nano, ISSN 1936-0851, 12/2013, Volume 7, Issue 12, pp. 10780 - 10787

Interface carrier recombination currently hinders the performance of hybrid organic–silicon heterojunction solar cells for high-efficiency low-cost...

small molecule | hybrid solar cell | conductive polymer | interface engineering | HOLE TRANSPORT | SURFACE PASSIVATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | SILICON NANOWIRES | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | CHEMISTRY, MULTIDISCIPLINARY | Solar cells | Electric potential | Photovoltaic cells | Insertion | Heterojunctions | Silicon | Minority carriers | Nanowires | Devices

small molecule | hybrid solar cell | conductive polymer | interface engineering | HOLE TRANSPORT | SURFACE PASSIVATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | SILICON NANOWIRES | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | CHEMISTRY, MULTIDISCIPLINARY | Solar cells | Electric potential | Photovoltaic cells | Insertion | Heterojunctions | Silicon | Minority carriers | Nanowires | Devices

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 7

... Access A note on cone b-metric and its related results: generalizations or equivalence? Wei-Shih Du 1 and Erdal Karapınar 2* * Correspondence: erdalkarapinar...

Mathematical and Computational Biology | fixed point | Analysis | TVS-cone metric space | nonlinear scalarization function | Mathematics, general | b -metric | Mathematics | TVS-cone b -metric | Applications of Mathematics | Topology | Differential Geometry | TVS-cone b-metric | b-metric | Fixed point | Nonlinear scalarization function | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | CONTRACTIVE MAPPINGS | SPACES | Fixed point theory | Usage | Metric spaces | Contraction operators

Mathematical and Computational Biology | fixed point | Analysis | TVS-cone metric space | nonlinear scalarization function | Mathematics, general | b -metric | Mathematics | TVS-cone b -metric | Applications of Mathematics | Topology | Differential Geometry | TVS-cone b-metric | b-metric | Fixed point | Nonlinear scalarization function | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | CONTRACTIVE MAPPINGS | SPACES | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 15

... of disjoint topological transitivity on Orlicz spaces Chung-Chuan Chen1 and Wei-Shih Du2* *Correspondence: wsdu@mail.nknu.edu.tw 2Department of Mathematics, National...

Orlicz space | Weighted translation | Disjoint topological transitivity | Locally compact group | Topological transitivity | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHTED SHIFTS | HYPERCYCLIC OPERATORS | Translations | 54H20 | 47A16 | 46E30 | Research

Orlicz space | Weighted translation | Disjoint topological transitivity | Locally compact group | Topological transitivity | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHTED SHIFTS | HYPERCYCLIC OPERATORS | Translations | 54H20 | 47A16 | 46E30 | Research

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 3/2014, Volume 2014, pp. 1 - 9

We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable...

EXISTENCE | COINCIDENCE POINT | MATHEMATICS, APPLIED | MAPPINGS | THEOREMS | Mathematical problems | Mathematics | Physics | Power plants | Theorems | Fixed points (mathematics) | Maps | Approximation | Existence theorems

EXISTENCE | COINCIDENCE POINT | MATHEMATICS, APPLIED | MAPPINGS | THEOREMS | Mathematical problems | Mathematics | Physics | Power plants | Theorems | Fixed points (mathematics) | Maps | Approximation | Existence theorems

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2008, Volume 347, Issue 2, pp. 391 - 399

In this paper, by applying an abstract maximal element principle on quasi-ordered sets established by Lin and Du, we obtain a generalized Brézis–Browder...

μ-Bounded | Generalized Brézis–Browder principle | Takahashi's nonconvex minimization theorem | Sizing-up | Maximal element | Ekeland's variational principle | Generalized Brézis-Browder principle | EXISTENCE | MATHEMATICS, APPLIED | VARIANTS | mu-bounded | VECTOR EQUILIBRIUM PROBLEMS | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | sizing-up | FIXED-POINT THEOREMS | maximal element | MAPPINGS | generalized Brezis-Browder principle | COMPLETE METRIC-SPACES

μ-Bounded | Generalized Brézis–Browder principle | Takahashi's nonconvex minimization theorem | Sizing-up | Maximal element | Ekeland's variational principle | Generalized Brézis-Browder principle | EXISTENCE | MATHEMATICS, APPLIED | VARIANTS | mu-bounded | VECTOR EQUILIBRIUM PROBLEMS | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | sizing-up | FIXED-POINT THEOREMS | maximal element | MAPPINGS | generalized Brezis-Browder principle | COMPLETE METRIC-SPACES

Journal Article

Bulletin de l'École française d'Extrême-Orient, ISSN 0336-1519, 2006, Volume 93, Issue 1, pp. 522 - 527

Girard Frédéric. Lambert Schmithausen, On the Problem of the External World in the Ch'eng wei shih lun, Studia Philologica Buddhica, Occasional Paper Series XIII. In...

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 13

... s s A note on Caristi-type cyclic maps: related results and applications Wei-Shih Du 1* and Erdal Karapinar 2 * Correspondence: wsdu@nknucc.nknu.edu.tw 1 Department...

Mathematical and Computational Biology | Analysis | function (ℛ-function) | Mathematics, general | Mathematics | Applications of Mathematics | Topology | best proximity point | cyclic contraction | Differential Geometry | Caristi-type cyclic map | Caristi-type fixed point theorem | MT-cyclic contraction | MT-function (R-function) | Best proximity point | EXISTENCE | MATHEMATICS | FIXED-POINT THEOREMS | CONVERGENCE | MAPPINGS | PROXIMITY POINTS | Fixed point theory | Usage | Metric spaces | Contraction operators

Mathematical and Computational Biology | Analysis | function (ℛ-function) | Mathematics, general | Mathematics | Applications of Mathematics | Topology | best proximity point | cyclic contraction | Differential Geometry | Caristi-type cyclic map | Caristi-type fixed point theorem | MT-cyclic contraction | MT-function (R-function) | Best proximity point | EXISTENCE | MATHEMATICS | FIXED-POINT THEOREMS | CONVERGENCE | MAPPINGS | PROXIMITY POINTS | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 20

... On hybrid split problem and its nonlinear algorithms Zhenhua He 1 and Wei-Shih Du 2* * Correspondence: wsdu@nknucc.nknu.edu.tw 2 Department of Mathematics, National...

strong (weak) convergence theorem | Mathematical and Computational Biology | Analysis | equilibrium problem | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | fixed point problem | iterative algorithm | hybrid split problem | Strong (weak) convergence theorem | Iterative algorithm | Fixed point problem | Equilibrium problem | Hybrid split problem | MATHEMATICS | MAPPINGS | STRONG-CONVERGENCE THEOREMS | EQUILIBRIUM PROBLEMS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | Fixed point theory | Convergence (Mathematics) | Nonlinear programming

strong (weak) convergence theorem | Mathematical and Computational Biology | Analysis | equilibrium problem | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | fixed point problem | iterative algorithm | hybrid split problem | Strong (weak) convergence theorem | Iterative algorithm | Fixed point problem | Equilibrium problem | Hybrid split problem | MATHEMATICS | MAPPINGS | STRONG-CONVERGENCE THEOREMS | EQUILIBRIUM PROBLEMS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | Fixed point theory | Convergence (Mathematics) | Nonlinear programming

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 9/2013, Volume 2013, pp. 1 - 8

We prove some new existence theorems of fixed points for Caristi type maps and some suitable generalized distances without lower semicontinuity assumptions on...

COINCIDENCE POINT | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | VARIANTS | MAPPINGS | EQUILIBRIUM PROBLEMS | EXISTENCE THEOREMS | EKELANDS VARIATIONAL PRINCIPLE | EQUIVALENT FORMULATIONS | Continuity | Research | Existence theorems | Mathematical research | Mappings (Mathematics) | Theorems | Maps

COINCIDENCE POINT | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | VARIANTS | MAPPINGS | EQUILIBRIUM PROBLEMS | EXISTENCE THEOREMS | EKELANDS VARIATIONAL PRINCIPLE | EQUIVALENT FORMULATIONS | Continuity | Research | Existence theorems | Mathematical research | Mappings (Mathematics) | Theorems | Maps

Journal Article

Biomedical optics express, ISSN 2156-7085, 2015, Volume 6, Issue 3, pp. 849 - 858

We report a novel reagent-and separation-free method for urine creatinine concentration measurement using stamping surface enhanced Raman scattering (S-SERS)...

ACID | SPECTROSCOPY | TUNABLE PLASMONICS | PERFORMANCE | BIOCHEMICAL RESEARCH METHODS | OPTICS | MICROSCOPY | QUANTITATIVE-ANALYSIS | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING

ACID | SPECTROSCOPY | TUNABLE PLASMONICS | PERFORMANCE | BIOCHEMICAL RESEARCH METHODS | OPTICS | MICROSCOPY | QUANTITATIVE-ANALYSIS | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 17

... algorithms for the split equality problem with applications Chih-Sheng Chuang 1 and Wei-Shih Du 2* * Correspondence: wsdu@nknucc.nknu.edu.tw 2 Department of Mathematics...

split feasibility problem | 49J53 | 90C25 | Analysis | split equality problem | Mathematics, general | simultaneous algorithm | Mathematics | Applications of Mathematics | 49M37 | linear inverse problem | MATHEMATICS | MATHEMATICS, APPLIED | IMAGE SUPERRESOLUTION | REGULARIZATION | Algorithms | Inverse problems | Boards | Inequalities | Paper | Nonlinearity | Feasibility | Mathematical models

split feasibility problem | 49J53 | 90C25 | Analysis | split equality problem | Mathematics, general | simultaneous algorithm | Mathematics | Applications of Mathematics | 49M37 | linear inverse problem | MATHEMATICS | MATHEMATICS, APPLIED | IMAGE SUPERRESOLUTION | REGULARIZATION | Algorithms | Inverse problems | Boards | Inequalities | Paper | Nonlinearity | Feasibility | Mathematical models

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2010, Volume 2010, Issue 1, pp. 1 - 16

... Contractive Conditions for Coupled Cone Fixed Point Theorems Wei-Shih Du Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | METRIC-SPACES | PARTIALLY ORDERED SETS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point theory | Nonlinear theories | Research | Studies | Ordinary differential equations | Mathematical models | Nonlinearity | Theorems | Fixed points (mathematics) | Maps | Metric space

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | METRIC-SPACES | PARTIALLY ORDERED SETS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point theory | Nonlinear theories | Research | Studies | Ordinary differential equations | Mathematical models | Nonlinearity | Theorems | Fixed points (mathematics) | Maps | Metric space

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 2/2013, Volume 2013, pp. 1 - 12

Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without...

MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | CONTRACTION-MAPPINGS | NONLINEAR MULTIVALUED MAPS | THEOREMS | NADLERS | EKELANDS VARIATIONAL PRINCIPLE | ORDERED METRIC-SPACES | Existence theorems | Mathematical research | Fixed point theory | Approximation theory | Metric spaces | Research | Mappings (Mathematics) | Studies | Mathematical functions | Algorithms | Game theory | Physics | Theorems | Fixed points (mathematics) | Maps | Approximation | Metric space | Completeness | Nonlinearity

MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | CONTRACTION-MAPPINGS | NONLINEAR MULTIVALUED MAPS | THEOREMS | NADLERS | EKELANDS VARIATIONAL PRINCIPLE | ORDERED METRIC-SPACES | Existence theorems | Mathematical research | Fixed point theory | Approximation theory | Metric spaces | Research | Mappings (Mathematics) | Studies | Mathematical functions | Algorithms | Game theory | Physics | Theorems | Fixed points (mathematics) | Maps | Approximation | Metric space | Completeness | Nonlinearity

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 10

... On new generalizations of Smarzewski’ s ﬁxed point theorem Wei-Shih Du * * Correspondence: wsdu@nknucc.nknu.edu.tw Department of Mathematics, National Kaohsiung...

uniformly convex Banach space | asymptotic center | λ -firmly nonexpansive mapping | Mathematics | Smarzewski’s fixed point theorem | asymptotic radius | uniformly convex in every direction | reactive firmly nonexpansive mapping | Analysis | property | Mathematics, general | strictly convex Banach space | Applications of Mathematics | uniformly convex in every direction [InlineEquation not available: see fulltext.] | [InlineEquation not available: see fulltext.]-property | λ-firmly nonexpansive mapping | MATHEMATICS, APPLIED | SPACES | lambda-firmly nonexpansive mapping | MATHEMATICS | uniformly convex in every direction (UCED) | MAPPINGS | (UAC)-property | Smarzewski's fixed point theorem | Theorems | Fixed points (mathematics) | Inequalities

uniformly convex Banach space | asymptotic center | λ -firmly nonexpansive mapping | Mathematics | Smarzewski’s fixed point theorem | asymptotic radius | uniformly convex in every direction | reactive firmly nonexpansive mapping | Analysis | property | Mathematics, general | strictly convex Banach space | Applications of Mathematics | uniformly convex in every direction [InlineEquation not available: see fulltext.] | [InlineEquation not available: see fulltext.]-property | λ-firmly nonexpansive mapping | MATHEMATICS, APPLIED | SPACES | lambda-firmly nonexpansive mapping | MATHEMATICS | uniformly convex in every direction (UCED) | MAPPINGS | (UAC)-property | Smarzewski's fixed point theorem | Theorems | Fixed points (mathematics) | Inequalities

Journal Article

Mathematics, ISSN 2227-7390, 07/2018, Volume 6, Issue 7, p. 117

In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach...

MT (λ)-function | Kannan's fixed point theorem | Simultaneous generalization | Chatterjea's fixed point theorem | Banach contraction principle | Du-Rassias's fixed point theorem | MATHEMATICS | PARTIAL METRIC-SPACES | simultaneous generalization | M-function | Theorems | Fixed points (mathematics) | Estimating techniques | Applied mathematics | Du–Rassias’s fixed point theorem | ℳ?(λ)-function | Kannan’s fixed point theorem | Chatterjea’s fixed point theorem

MT (λ)-function | Kannan's fixed point theorem | Simultaneous generalization | Chatterjea's fixed point theorem | Banach contraction principle | Du-Rassias's fixed point theorem | MATHEMATICS | PARTIAL METRIC-SPACES | simultaneous generalization | M-function | Theorems | Fixed points (mathematics) | Estimating techniques | Applied mathematics | Du–Rassias’s fixed point theorem | ℳ?(λ)-function | Kannan’s fixed point theorem | Chatterjea’s fixed point theorem

Journal Article

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