Bulletin des sciences mathématiques, ISSN 0007-4497, 12/2013, Volume 137, Issue 8, pp. 977 - 995

Let and be two nonempty subsets of a metric space . A best proximity point of a non-self-mapping is a point satisfying the equality , where . In this paper, we...

Coupled best proximity point | α-proximal admissible | [formula omitted]-proximal contraction | Best proximity point | Binary relation | Non-self-mapping | α-ψ-proximal contraction

Coupled best proximity point | α-proximal admissible | [formula omitted]-proximal contraction | Best proximity point | Binary relation | Non-self-mapping | α-ψ-proximal contraction

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 14, pp. 4804 - 4808

Let us consider a map , where and are two nonempty subsets of a metric space . The aim of this article is to provide sufficient conditions for the existence of...

[formula omitted]-property | Fixed points | Best proximity points | Weakly contractive non-self-maps | [formula omitted]-contraction | k-contraction | P-property | EXISTENCE | MATHEMATICS, APPLIED | EXTENSIONS | SPACES | PRINCIPLE | MATHEMATICS | MAPS | EQUILIBRIUM PAIRS | CONVERGENCE | Nonlinearity | Theorems | Proximity | Metric space

[formula omitted]-property | Fixed points | Best proximity points | Weakly contractive non-self-maps | [formula omitted]-contraction | k-contraction | P-property | EXISTENCE | MATHEMATICS, APPLIED | EXTENSIONS | SPACES | PRINCIPLE | MATHEMATICS | MAPS | EQUILIBRIUM PAIRS | CONVERGENCE | Nonlinearity | Theorems | Proximity | Metric space

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 16

First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces....

metric space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | best proximity point | Differential Geometry | Metric space | Best proximity point | Fixed point | EXISTENCE | GRAPH | MATHEMATICS | NON-SELF-MAPPINGS | MATHEMATICS, APPLIED | METRIC-SPACES | THEOREMS | Fixed point theory | Usage | Metric spaces | Contraction operators | Graphs | Theorems | Mapping | Proximity

metric space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | best proximity point | Differential Geometry | Metric space | Best proximity point | Fixed point | EXISTENCE | GRAPH | MATHEMATICS | NON-SELF-MAPPINGS | MATHEMATICS, APPLIED | METRIC-SPACES | THEOREMS | Fixed point theory | Usage | Metric spaces | Contraction operators | Graphs | Theorems | Mapping | Proximity

Journal Article

4.
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Boundary Point Method and the Mann–Dotson Algorithm for Non-self Mappings in Banach Spaces

Milan Journal of Mathematics, ISSN 1424-9286, 2019, Volume 87, Issue 1, pp. 73 - 91

Let C be a closed, convex and nonempty subset of a Banach space X. Let T:CX be a nonexpansive inward mapping. We consider the boundary point map hC,T:CR...

Boundary point method | inward condition | non-self mappings | nonexpansive mappings | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINTS | Methods | Algorithms

Boundary point method | inward condition | non-self mappings | nonexpansive mappings | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINTS | Methods | Algorithms

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 3/2018, Volume 20, Issue 1, pp. 1 - 10

Let (X, d) be a metric space, Y be a nonempty subset of X, and let $$T:Y \rightarrow P(X)$$ T:Y→P(X) be a non-self multivalued mapping. In this paper, by a new...

Mathematical Methods in Physics | Analysis | Reich–Zaslavski property | Mathematics, general | Mathematics | 54C60 | Primary 47H10 | Secondary 54H25 | Fixed point | non-self multivalued mapping | MATHEMATICS | MATHEMATICS, APPLIED | Reich-Zaslavski property | THEOREMS | Metric space | Fixed points (mathematics)

Mathematical Methods in Physics | Analysis | Reich–Zaslavski property | Mathematics, general | Mathematics | 54C60 | Primary 47H10 | Secondary 54H25 | Fixed point | non-self multivalued mapping | MATHEMATICS | MATHEMATICS, APPLIED | Reich-Zaslavski property | THEOREMS | Metric space | Fixed points (mathematics)

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2016, Volume 13, Issue 6, pp. 4369 - 4384

A Mann-type iterative scheme which converges strongly to a fixed point of a multi-valued nonexpansive non-self mapping T is constructed in a real Hilbert space...

pseudocontractive mappings | 47H09 | multi-valued mappings | quasi-nonexpansive mappings | Mathematics, general | Mathematics | 47J05 | 47J25 | Hausdorff metric | 47H04 | nonexpansive mappings | non-self mappings | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | NONEXPANSIVE NONSELF-MAPPINGS | STRONG-CONVERGENCE | Tufa | Mapping | Hilbert space | Convergence

pseudocontractive mappings | 47H09 | multi-valued mappings | quasi-nonexpansive mappings | Mathematics, general | Mathematics | 47J05 | 47J25 | Hausdorff metric | 47H04 | nonexpansive mappings | non-self mappings | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | NONEXPANSIVE NONSELF-MAPPINGS | STRONG-CONVERGENCE | Tufa | Mapping | Hilbert space | Convergence

Journal Article

Numerical Functional Analysis and Optimization, ISSN 0163-0563, 06/2017, Volume 38, Issue 6, pp. 705 - 722

In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0)...

47H10 | fixed points | demicontractive mappings | CAT space | multi-valued mappings | Hausdorff distance | 37C25 | non-self mappings | 47H04 | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | NONEXPANSIVE-MAPPINGS | APPROXIMATION | NONSELF-MAPPINGS | Theorems | Convergence

47H10 | fixed points | demicontractive mappings | CAT space | multi-valued mappings | Hausdorff distance | 37C25 | non-self mappings | 47H04 | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | NONEXPANSIVE-MAPPINGS | APPROXIMATION | NONSELF-MAPPINGS | Theorems | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1812, 12/2019, Volume 2019, Issue 1, pp. 1 - 10

In this paper, we search some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called α-proximal Geraghty...

47H10 | Mathematical and Computational Biology | Best proximity points | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | α -Proximal Geraghty non-self mappings on metric spaces | 54H25 | Metric space | Proximity | α-Proximal Geraghty non-self mappings on metric spaces

47H10 | Mathematical and Computational Biology | Best proximity points | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | α -Proximal Geraghty non-self mappings on metric spaces | 54H25 | Metric space | Proximity | α-Proximal Geraghty non-self mappings on metric spaces

Journal Article

Fixed Point Theory, ISSN 1583-5022, 02/2018, Volume 19, Issue 1, pp. 397 - 406

Some fixed point theorems for discontinuous mappings in Banach spaces by Berinde and Pacurar [Fixed point theorems for non-self single-valued almost...

Hyperbolic metric space | Non-self almost contractions | Fixed points | Non-Lipschitzian mapping | Asymptotically nonexpansive mapping | Uniformly convex metric space | non-Lipschitzian mapping | MATHEMATICS, APPLIED | MATHEMATICS | CONTRACTION | THEOREMS | LIPSCHITZIAN MAPPINGS | uniformly convex metric space | asymptotically nonexpansive mapping | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | HYPERBOLIC SPACES | hyperbolic metric space | OPERATORS | non-self almost contractions

Hyperbolic metric space | Non-self almost contractions | Fixed points | Non-Lipschitzian mapping | Asymptotically nonexpansive mapping | Uniformly convex metric space | non-Lipschitzian mapping | MATHEMATICS, APPLIED | MATHEMATICS | CONTRACTION | THEOREMS | LIPSCHITZIAN MAPPINGS | uniformly convex metric space | asymptotically nonexpansive mapping | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | HYPERBOLIC SPACES | hyperbolic metric space | OPERATORS | non-self almost contractions

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2009, Volume 57, Issue 10, pp. 1701 - 1707

In this paper we extend a fixed point theorem of Imdad and Kumar, for a pair of non-self maps, to non-normal cone spaces.

Coincidence point | Non-self mappings | Common fixed point | Normal and non-normal cone | Cone metric space | MATHEMATICS, APPLIED | CONTRACTIVE MAPPINGS | Mechanical engineering

Coincidence point | Non-self mappings | Common fixed point | Normal and non-normal cone | Cone metric space | MATHEMATICS, APPLIED | CONTRACTIVE MAPPINGS | Mechanical engineering

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 01/2020, Volume 28, Issue 1, pp. 79 - 84

Journal Article

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Best proximity points for alpha-psi-proximal contractive type mappings and applications

BULLETIN DES SCIENCES MATHEMATIQUES, ISSN 0007-4497, 12/2013, Volume 137, Issue 8, pp. 977 - 995

Let A and B be two nonempty subsets of a metric space (X, d). A best proximity point of a non-self-mapping T : A -> B is a point x* is an element of A...

alpha-proximal admissible | EXISTENCE | MATHEMATICS, APPLIED | EXTENSIONS | CYCLIC MAPPINGS | alpha-psi-proximal contraction | Best proximity point | Binary relation | Coupled best proximity point | APPROXIMATION THEOREM | CONVERGENCE | FIXED-POINTS | Non-self-mapping | ORDERED METRIC-SPACES

alpha-proximal admissible | EXISTENCE | MATHEMATICS, APPLIED | EXTENSIONS | CYCLIC MAPPINGS | alpha-psi-proximal contraction | Best proximity point | Binary relation | Coupled best proximity point | APPROXIMATION THEOREM | CONVERGENCE | FIXED-POINTS | Non-self-mapping | ORDERED METRIC-SPACES

Journal Article

Mathematica Moravica, ISSN 1450-5932, 2016, Volume 20, Issue 2, pp. 131 - 141

In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically...

total asymptotically nonexpansive non-self mapping | common fixed point | asymptotically nonexpansive mapping | Banach space | hybrid mixed type iteration scheme | strong convergence

total asymptotically nonexpansive non-self mapping | common fixed point | asymptotically nonexpansive mapping | Banach space | hybrid mixed type iteration scheme | strong convergence

Journal Article

OPSEARCH, ISSN 0030-3887, 6/2014, Volume 51, Issue 2, pp. 312 - 320

In this paper we consider a classical global optimization problem of obtaining minimum distance between pairs of closed sets by using an extension of the weak...

Control function | 47H10 | Operations Research/Decision Theory | Mathematics, general | P-property | Weak contraction | Non-self map | Best proximity point | Management/Business for Professionals | Economics / Management Science | 54H25 | Studies | Operations research | Mathematical models | Mathematics | Optimization | Mapping | Proximity

Control function | 47H10 | Operations Research/Decision Theory | Mathematics, general | P-property | Weak contraction | Non-self map | Best proximity point | Management/Business for Professionals | Economics / Management Science | 54H25 | Studies | Operations research | Mathematical models | Mathematics | Optimization | Mapping | Proximity

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 157 - 169

Our purpose in this paper is to construct Ishikawa iterative scheme formulti-valued non-self mappings in CAT(0) spaces. Then we obtain strong convergence of...

Multi-valued mapping | Non-self mappings | Theoretical, Mathematical and Computational Physics | Mathematics | Hausdorff distance | Primary 37C25 | Hemicontractive mappings | CAT space | 47H09 | Mathematics, general | Fixed points | Applications of Mathematics | Secondary 47H04 | MATHEMATICS | FIXED-POINT THEOREMS | MULTIMAPS | MANN | CONVERGENCE | SCHEMES | Mapping

Multi-valued mapping | Non-self mappings | Theoretical, Mathematical and Computational Physics | Mathematics | Hausdorff distance | Primary 37C25 | Hemicontractive mappings | CAT space | 47H09 | Mathematics, general | Fixed points | Applications of Mathematics | Secondary 47H04 | MATHEMATICS | FIXED-POINT THEOREMS | MULTIMAPS | MANN | CONVERGENCE | SCHEMES | Mapping

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 2018, Volume 24, Issue 8, pp. 1553 - 1564

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 12/2017, Volume 19, Issue 4, pp. 2349 - 2360

In this paper, in the setting of complete metric spaces we establish some fixed point theorems for non-self mappings of contractive type satisfying either the...

non-self mapping of contractive type | Mathematical Methods in Physics | endpoint | Analysis | Mathematics, general | Mathematics | 54C60 | Primary 47H10 | Fixed point | Secondary 54H25 | MATHEMATICS | MATHEMATICS, APPLIED | Theorems | Fixed points (mathematics)

non-self mapping of contractive type | Mathematical Methods in Physics | endpoint | Analysis | Mathematics, general | Mathematics | 54C60 | Primary 47H10 | Fixed point | Secondary 54H25 | MATHEMATICS | MATHEMATICS, APPLIED | Theorems | Fixed points (mathematics)

Journal Article

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Assad-Kirk-Type Fixed Point Theorems for a Pair of Nonself Mappings on Cone Metric Spaces

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 16

New fixed point results for a pair of non-self mappings defined on a closed subset of a metrically convex cone metric space (which is not necessarily normal)...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | NON-SELF-MAPPINGS | CONTRACTIVE MAPPINGS | Fixed point theory | Metric spaces | Research | Mappings (Mathematics) | Studies | Algorithms | Banach spaces

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | NON-SELF-MAPPINGS | CONTRACTIVE MAPPINGS | Fixed point theory | Metric spaces | Research | Mappings (Mathematics) | Studies | Algorithms | Banach spaces

Journal Article

Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 14, pp. 4629 - 4640

We define Mann iterative scheme in CAT(0) spaces and obtain Delta-convergence and strong convergence of the iterative scheme to a fixed point of multi-valued...

CAT space | Multi-valued mapping | Fixed points | Hausdorff distance | Non-self mappings | Nonexpansive mappings | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | MULTIMAPS | fixed points | NONSELF-MAPPINGS | nonexpansive mappings | non-self mappings | MATHEMATICS | FIXED-POINT THEOREMS | CONVERGENCE THEOREMS | BANACH-SPACES | multi-valued mapping | SCHEMES

CAT space | Multi-valued mapping | Fixed points | Hausdorff distance | Non-self mappings | Nonexpansive mappings | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | MULTIMAPS | fixed points | NONSELF-MAPPINGS | nonexpansive mappings | non-self mappings | MATHEMATICS | FIXED-POINT THEOREMS | CONVERGENCE THEOREMS | BANACH-SPACES | multi-valued mapping | SCHEMES

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 3, pp. 287 - 293

In this work, we study some new common fixed point results for generalized contractive multi-valued non-self-mappings on complete metric spaces.

Generalized contraction | Common fixed point | Multi-valued non-self-mapping | Hausdorff metric | Strict fixed point | MATHEMATICS, APPLIED | METRIC-SPACES | Metric space | Mathematical analysis | Fixed points (mathematics)

Generalized contraction | Common fixed point | Multi-valued non-self-mapping | Hausdorff metric | Strict fixed point | MATHEMATICS, APPLIED | METRIC-SPACES | Metric space | Mathematical analysis | Fixed points (mathematics)

Journal Article

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