Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 23

Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) introduced α-ψ-contractive mappings and proved some fixed point results for these mappings...

metric space | modified Meir-Keeler-type contractions | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | α - η - ψ -contractive map | triangular α -admissible map | α-η-ψ-contractive map | Triangular α-admissible map | Metric space | Modified Meir-Keeler-type contractions

metric space | modified Meir-Keeler-type contractions | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | α - η - ψ -contractive map | triangular α -admissible map | α-η-ψ-contractive map | Triangular α-admissible map | Metric space | Modified Meir-Keeler-type contractions

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2016, Volume 39, Issue 1, pp. 152 - 163

.... If the constraint set is closed invex, we introduce the concept of relaxed α–η pseudomonotone mappings and prove some existence results of solutions for the (IEPs...

equilibrium problems | KKM mapping | relaxed α–η pseudomonotonicity | existence results | fixed point theorem | relaxed α-η pseudomonotonicity | MATHEMATICS, APPLIED | BIFUNCTIONS | relaxed - pseudomonotonicity | VARIATIONAL-LIKE INEQUALITIES | Theorems | Mapping | Existence theorems | Mathematical analysis | Inequalities

equilibrium problems | KKM mapping | relaxed α–η pseudomonotonicity | existence results | fixed point theorem | relaxed α-η pseudomonotonicity | MATHEMATICS, APPLIED | BIFUNCTIONS | relaxed - pseudomonotonicity | VARIATIONAL-LIKE INEQUALITIES | Theorems | Mapping | Existence theorems | Mathematical analysis | Inequalities

Journal Article

Filomat, ISSN 0354-5180, 09/2015, Volume 29, Issue 8, pp. 1893 - 1900

Journal Article

Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 16, pp. 5357 - 5368

In this paper, we obtain some new fixed point theorems for (alpha, eta, psi, xi)-contractive multi-valued mappings in alpha-eta-tau-complete Menger PM-spaces, which turn out to generalize many results in existing literatures...

(α, η, ψ, ξ)-contractive multi-valued mapping | α-η-T -complete Menger PM-space | α-η-T -continuity | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | alpha-eta-tau-continuity | CONTRACTIVE TYPE | METRIC-SPACES | (alpha, eta, psi, xi)-contractive multi-valued mapping | fixed point | alpha-eta-tau-complete Menger PM-space | THEOREMS

(α, η, ψ, ξ)-contractive multi-valued mapping | α-η-T -complete Menger PM-space | α-η-T -continuity | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | alpha-eta-tau-continuity | CONTRACTIVE TYPE | METRIC-SPACES | (alpha, eta, psi, xi)-contractive multi-valued mapping | fixed point | alpha-eta-tau-complete Menger PM-space | THEOREMS

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2008, Volume 214, Issue 1, pp. 186 - 201

...) and the set of common fixed points of finitely many nonexpansive mappings in a real Hilbert space...

Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings

Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings

Journal Article

Symmetry, ISSN 2073-8994, 02/2019, Volume 11, Issue 2, p. 143

The main purpose in this paper is to define the modification form of random α -admissible and random α - ψ -contractive maps. We establish new random fixed...

Random α-admissible with respect to η | Generalized random α-ψ-contractive mapping | Random fixed point | generalized random α-ψ-contractive mapping | random fixed point | random α-admissible with respect to η

Random α-admissible with respect to η | Generalized random α-ψ-contractive mapping | Random fixed point | generalized random α-ψ-contractive mapping | random fixed point | random α-admissible with respect to η

Journal Article

7.
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Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 19

...-strictly pseudocontractive non-self mapping in Hilbert spaces. We establish results of the strong convergence of the sequences generated by the proposed schemes to a common point of two sets, which is a solution of a certain variational inequality...

fixed points | Mathematical and Computational Biology | nonexpansive mapping | Mathematics | variational inequality | Topology | mixed equilibrium problem | k -strictly pseudocontractive mapping | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | ρ -Lipschitzian and η -strongly monotone operator | Fixed points | Mixed equilibrium problem | K-strictly pseudocontractive mapping | Variational inequality | ρ-Lipschitzian and η-strongly monotone operator | Nonexpansive mapping | MATHEMATICS | rho-Lipschitzian and eta-strongly monotone operator | THEOREMS | k-strictly pseudocontractive mapping | PSEUDO-CONTRACTIVE MAPPINGS | FIXED-POINTS | STRONG-CONVERGENCE | Fixed point theory | Hilbert space | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Mapping | Iterative methods | Inequalities | Convergence

fixed points | Mathematical and Computational Biology | nonexpansive mapping | Mathematics | variational inequality | Topology | mixed equilibrium problem | k -strictly pseudocontractive mapping | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | ρ -Lipschitzian and η -strongly monotone operator | Fixed points | Mixed equilibrium problem | K-strictly pseudocontractive mapping | Variational inequality | ρ-Lipschitzian and η-strongly monotone operator | Nonexpansive mapping | MATHEMATICS | rho-Lipschitzian and eta-strongly monotone operator | THEOREMS | k-strictly pseudocontractive mapping | PSEUDO-CONTRACTIVE MAPPINGS | FIXED-POINTS | STRONG-CONVERGENCE | Fixed point theory | Hilbert space | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Mapping | Iterative methods | Inequalities | Convergence

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 15

We introduce the notion of a modified α-ϕ-fuzzy contractive mapping and prove some results in fuzzy metric spaces for such kind of mappings...

integral equations | 47H10 | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | α -admissible mapping with respect to η | modified α - ϕ -fuzzy contractive mapping | 45D05 | modified α-ϕ-fuzzy contractive mapping | α-admissible mapping with respect to η

integral equations | 47H10 | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | α -admissible mapping with respect to η | modified α - ϕ -fuzzy contractive mapping | 45D05 | modified α-ϕ-fuzzy contractive mapping | α-admissible mapping with respect to η

Journal Article

Filomat, ISSN 0354-5180, 2013, Volume 27, Issue 2, pp. 403 - 410

In this paper, we introduce some classes of r-(eta, xi, psi)-contractive mappings and prove results of fixed point in the setting of complete metric spaces...

R-(η, ξ)-admissible mapping | R-(η, ξ,ψ)-contractive mapping | Metric space | Fixed point | r-(eta, xi)-admissible mapping | MATHEMATICS | PARTIAL METRIC-SPACES | MATHEMATICS, APPLIED | fixed point | r-(eta, xi, psi)-contractive mapping | THEOREMS | COMPLETENESS

R-(η, ξ)-admissible mapping | R-(η, ξ,ψ)-contractive mapping | Metric space | Fixed point | r-(eta, xi)-admissible mapping | MATHEMATICS | PARTIAL METRIC-SPACES | MATHEMATICS, APPLIED | fixed point | r-(eta, xi, psi)-contractive mapping | THEOREMS | COMPLETENESS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 5, pp. 1314 - 1321

In this paper, we consider a generalized mixed equilibrium problem involving non-monotone set-valued mappings in real Hilbert space...

Maximal strongly [formula omitted]-monotone mapping | Mixed equilibrium problem | Yosida approximation | Cocoercive mapping | Lipschitz continuous mapping | Variational inequalities | Maximal strongly η-monotone mapping | MATHEMATICS, APPLIED | VARIATIONAL-LIKE INCLUSIONS | RESOLVENT EQUATIONS | INEQUALITIES | lipschitz continuous mapping | STABILITY | WIENER-HOPF EQUATIONS | cocoercive mapping | mixed equilibrium problem | ALGORITHMS | variational inequalities | maximal strongly eta-monotone mapping | ISHIKAWA | BANACH-SPACES | MAPPINGS | yosida approximation | Algorithms | Approximation | Stability | Mathematical analysis | Iterative algorithms | Mathematical models | Iterative methods | Dynamical systems | Convergence

Maximal strongly [formula omitted]-monotone mapping | Mixed equilibrium problem | Yosida approximation | Cocoercive mapping | Lipschitz continuous mapping | Variational inequalities | Maximal strongly η-monotone mapping | MATHEMATICS, APPLIED | VARIATIONAL-LIKE INCLUSIONS | RESOLVENT EQUATIONS | INEQUALITIES | lipschitz continuous mapping | STABILITY | WIENER-HOPF EQUATIONS | cocoercive mapping | mixed equilibrium problem | ALGORITHMS | variational inequalities | maximal strongly eta-monotone mapping | ISHIKAWA | BANACH-SPACES | MAPPINGS | yosida approximation | Algorithms | Approximation | Stability | Mathematical analysis | Iterative algorithms | Mathematical models | Iterative methods | Dynamical systems | Convergence

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 337, Issue 2, pp. 969 - 975

A new class of nonlinear set-valued variational inclusions involving ( A , η ) -monotone mappings in a Hilbert space setting is introduced, and then based on the generalized resolvent operator technique associated with ( A , η...

Iterative algorithm | Resolvent operator method | Class of nonlinear set-valued variational inclusions | [formula omitted]-monotone mapping | (A, η)-monotone mapping | MATHEMATICS | MATHEMATICS, APPLIED | GENERAL-CLASS | (A, eta)-monotone mapping | OPERATOR | SENSITIVITY-ANALYSIS | MANN | PERTURBED ITERATIVE ALGORITHMS | resolvent operator method | SYSTEMS | iterative algorithm | class of nonlinear set-valued variational inclusions | Algorithms

Iterative algorithm | Resolvent operator method | Class of nonlinear set-valued variational inclusions | [formula omitted]-monotone mapping | (A, η)-monotone mapping | MATHEMATICS | MATHEMATICS, APPLIED | GENERAL-CLASS | (A, eta)-monotone mapping | OPERATOR | SENSITIVITY-ANALYSIS | MANN | PERTURBED ITERATIVE ALGORITHMS | resolvent operator method | SYSTEMS | iterative algorithm | class of nonlinear set-valued variational inclusions | Algorithms

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 8/2007, Volume 11, Issue 3, pp. 683 - 701

...)-monotone operator inclusion systems involving non-monotone set-valued mappings in Hubert spaces...

Hilbert spaces | Mathematical inequalities | Mathematical monotonicity | Mathematics education | Variational inequalities | Perceptron convergence procedure | A system of nonlinear set-valued variational inclusions | The resolvent operator technique | Existence and convergence | (A, η)-monotone mapping | the resolvent operator technique | VARIATIONAL-INEQUALITIES | MATHEMATICS | a system of nonlinear set-valued variational inclusions | (A,eta)-monotone mapping | MONOTONE MAPPINGS | ALGORITHMS | PROJECTION METHODS | existence and convergence

Hilbert spaces | Mathematical inequalities | Mathematical monotonicity | Mathematics education | Variational inequalities | Perceptron convergence procedure | A system of nonlinear set-valued variational inclusions | The resolvent operator technique | Existence and convergence | (A, η)-monotone mapping | the resolvent operator technique | VARIATIONAL-INEQUALITIES | MATHEMATICS | a system of nonlinear set-valued variational inclusions | (A,eta)-monotone mapping | MONOTONE MAPPINGS | ALGORITHMS | PROJECTION METHODS | existence and convergence

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 8/2013, Volume 56, Issue 4, pp. 1563 - 1589

... problems for inverse strongly monotone mappings, the set of common fixed points for nonexpansive semigroups and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in Hilbert spaces...

Infinite family of strictly pseudo-contractive mappings | Variational inclusion | Nonexpansive semigroups | Optimization | Nonexpansive mapping | Economics / Management Science | Metric projection | System of mixed equilibrium problem | 47H10 | 47J20 | 49J30 | Operations Research/Decision Theory | 49J40 | 90C99 | η -strongly convex functions | 47H09 | 49M05 | Computer Science, general | Optimization problems | 47H17 | Real Functions | η-strongly convex functions | HILBERT-SPACES | MATHEMATICS, APPLIED | INEQUALITIES | MIXED EQUILIBRIUM PROBLEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUADRATIC OPTIMIZATION | BANACH-SPACES | SETS | VISCOSITY APPROXIMATION METHODS | eta-strongly convex functions | STRONG-CONVERGENCE | Algorithms | Studies | Mapping | Iterative methods | Analysis | Fixed points (mathematics) | Group theory | Nonlinearity | Mathematical models | Iterative algorithms | Inverse | Convergence

Infinite family of strictly pseudo-contractive mappings | Variational inclusion | Nonexpansive semigroups | Optimization | Nonexpansive mapping | Economics / Management Science | Metric projection | System of mixed equilibrium problem | 47H10 | 47J20 | 49J30 | Operations Research/Decision Theory | 49J40 | 90C99 | η -strongly convex functions | 47H09 | 49M05 | Computer Science, general | Optimization problems | 47H17 | Real Functions | η-strongly convex functions | HILBERT-SPACES | MATHEMATICS, APPLIED | INEQUALITIES | MIXED EQUILIBRIUM PROBLEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUADRATIC OPTIMIZATION | BANACH-SPACES | SETS | VISCOSITY APPROXIMATION METHODS | eta-strongly convex functions | STRONG-CONVERGENCE | Algorithms | Studies | Mapping | Iterative methods | Analysis | Fixed points (mathematics) | Group theory | Nonlinearity | Mathematical models | Iterative algorithms | Inverse | Convergence

Journal Article

14.
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Best proximity points for generalized - α - η- ψ - Geraghty proximal contraction mappings

Mathematica Moravica, ISSN 1450-5932, 2017, Volume 21, Issue 2, pp. 85 - 102

In this paper, we introduce the new notion of generalized - α - η - ψ - Geraghty proximal contraction mappings and prove the existence of the best proximity point for such mappings in α - η...

generalized - α - η - ψ-Geraghty proximal contraction | α-triangular proximal admissble withrespect to η | best proximty point

generalized - α - η - ψ-Geraghty proximal contraction | α-triangular proximal admissble withrespect to η | best proximty point

Journal Article

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2008, Volume 45, Issue 5, pp. 1323 - 1339

In this paper, a new class of (h, eta)-proximal mappings for proper functionals in Hilbert spaces is introduced...

Relaxed coercive mapping | Mixed Lipschitz mapping | Strongly monotone mapping | Generalized nonlinear quasi-variational-like inclusion | Generalized pseudocontractive mapping | (h, η)-proximalmapping | Perturbed three-step iterative algorithm with errors | MATHEMATICS, APPLIED | INEQUALITIES | ERRORS | PROXIMAL POINT ALGORITHMS | relaxed coercive mapping | MATHEMATICS | ISHIKAWA | SENSITIVITY-ANALYSIS | MANN | (h, eta 0-)proximalmapping | generalized nonlinear quasi-variational-like inclusion | mixed Lipschitz mapping | strongly monotone mapping | perturbed three-step iterative algorithm with errors | generalized pseudocontractive mapping

Relaxed coercive mapping | Mixed Lipschitz mapping | Strongly monotone mapping | Generalized nonlinear quasi-variational-like inclusion | Generalized pseudocontractive mapping | (h, η)-proximalmapping | Perturbed three-step iterative algorithm with errors | MATHEMATICS, APPLIED | INEQUALITIES | ERRORS | PROXIMAL POINT ALGORITHMS | relaxed coercive mapping | MATHEMATICS | ISHIKAWA | SENSITIVITY-ANALYSIS | MANN | (h, eta 0-)proximalmapping | generalized nonlinear quasi-variational-like inclusion | mixed Lipschitz mapping | strongly monotone mapping | perturbed three-step iterative algorithm with errors | generalized pseudocontractive mapping

Journal Article

Nonlinear Analysis: Modelling and Control, ISSN 1392-5113, 2015, Volume 20, Issue 3, pp. 377 - 394

Journal Article

Materials characterization, ISSN 1044-5803, 08/2020, Volume 166, p. 110448

Energy-dispersive X-ray spectroscopy (EDS) mapping has been performed to determine the distributions of the component atoms of η-Mg(Zn,Cu...

Energy-dispersive X-ray spectroscopy (EDS) mapping | η-Mg(Zn,Cu)2 precipitates | Al-Mg-Zn-Cu aluminium alloy | High-angle annular dark-filed scanning transmission electron microscopy | Zn-depleted zones | Elongated-hexagonal lattice defects

Energy-dispersive X-ray spectroscopy (EDS) mapping | η-Mg(Zn,Cu)2 precipitates | Al-Mg-Zn-Cu aluminium alloy | High-angle annular dark-filed scanning transmission electron microscopy | Zn-depleted zones | Elongated-hexagonal lattice defects

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2012, Volume 2012, Issue 1, pp. 1 - 9

In this article, we introduce and study a new system of generalized quasi-variational-like inclusions with noncompact valued mappings. By using the η...

Analysis | Mathematics, general | Mathematics | Applications of Mathematics | η- proximal mapping | iterative algorithm | system of generalized quasi-variational-like inclusions | monotone operator | Iterative algorithm | Monotone operator | System of generalized quasi-variational-like inclusions | η-proximal mapping | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | ALGORITHM | eta-proximal mapping

Analysis | Mathematics, general | Mathematics | Applications of Mathematics | η- proximal mapping | iterative algorithm | system of generalized quasi-variational-like inclusions | monotone operator | Iterative algorithm | Monotone operator | System of generalized quasi-variational-like inclusions | η-proximal mapping | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | ALGORITHM | eta-proximal mapping

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 4, pp. 1453 - 1461

In this paper, we introduce a new class of generalized vector variational-type inequalities with set-valued mappings (GVVTI...

Vector variational-type variational inequality | Set-valued mappings | [formula omitted]-hemicontinuous | Pseudomonotone | η-hemicontinuous | eta-hemicontinuous | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | REFLEXIVE BANACH-SPACES

Vector variational-type variational inequality | Set-valued mappings | [formula omitted]-hemicontinuous | Pseudomonotone | η-hemicontinuous | eta-hemicontinuous | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | REFLEXIVE BANACH-SPACES

Journal Article

Journal of the Mathematical Society of Japan, ISSN 0025-5645, 01/2003, Volume 55, Issue 1, pp. 117 - 129

Journal Article

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