Computers and Mathematics with Applications, ISSN 0898-1221, 2012, Volume 63, Issue 1, pp. 298 - 309

In this paper, we establish coupled coincidence and common coupled fixed point theorems for -weakly contractive mappings in ordered -metric spaces. Presented...

[formula omitted]-metric space | Common coupled fixed point | Coupled coincidence point | Mixed monotone property | Ordered set | G-metric space | COINCIDENCE POINT | MATHEMATICS, APPLIED | THEOREMS | SETS | NONLINEAR CONTRACTIONS | Theorems | Fixed points (mathematics) | Mathematical models | Mapping

[formula omitted]-metric space | Common coupled fixed point | Coupled coincidence point | Mixed monotone property | Ordered set | G-metric space | COINCIDENCE POINT | MATHEMATICS, APPLIED | THEOREMS | SETS | NONLINEAR CONTRACTIONS | Theorems | Fixed points (mathematics) | Mathematical models | Mapping

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 9, pp. 2657 - 2673

Using the concepts of a pair upclass, –admissible and –subadmissible mappings in this paper, are proven a coupled coincidence point results for mappings : ² →...

Partially ordered sets | Mathematical monotonicity | Mathematical theorems | Coincidence | Mathematical induction | Compatible mappings | Coupled coincidence point | α − ϕ-Contractive mapping | MATHEMATICS | MATHEMATICS, APPLIED | Compatible Mappings | Coupled Coincidence Point | SETS | alpha - phi-Contractive Mapping | FIXED-POINT | MONOTONE MAPPINGS

Partially ordered sets | Mathematical monotonicity | Mathematical theorems | Coincidence | Mathematical induction | Compatible mappings | Coupled coincidence point | α − ϕ-Contractive mapping | MATHEMATICS | MATHEMATICS, APPLIED | Compatible Mappings | Coupled Coincidence Point | SETS | alpha - phi-Contractive Mapping | FIXED-POINT | MONOTONE MAPPINGS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2007, Volume 186, Issue 2, pp. 1551 - 1558

In this paper, we introduce a new iterative scheme for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions...

Strictly pseudocontractive mapping | α-inverse-strongly monotone mapping | Variational inequality | Nonexpansive mapping | VARIATIONAL-INEQUALITIES | WEAK | MATHEMATICS, APPLIED | strictly pseudocontractive mapping | EXTRAGRADIENT METHOD | nonexpansive mapping | alpha-inverse-strongly monotone mapping | variational inequality | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS

Strictly pseudocontractive mapping | α-inverse-strongly monotone mapping | Variational inequality | Nonexpansive mapping | VARIATIONAL-INEQUALITIES | WEAK | MATHEMATICS, APPLIED | strictly pseudocontractive mapping | EXTRAGRADIENT METHOD | nonexpansive mapping | alpha-inverse-strongly monotone mapping | variational inequality | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS

Journal Article

1978, ISBN 902860118X, 341

Book

Journal of Optimization Theory and Applications, ISSN 0022-3239, 8/2003, Volume 118, Issue 2, pp. 417 - 428

In this paper, we introduce an iteration process of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a...

fixed points | Calculus of Variations and Optimal Control | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | variational inequalities | Optimization | Nonexpansive mappings | inverse strongly-monotone mappings | Fixed points | Inverse strongly-monotone mappings | Variational inequalities | HILBERT SPACE | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FIXED-POINTS | nonexpansive mappings

fixed points | Calculus of Variations and Optimal Control | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | variational inequalities | Optimization | Nonexpansive mappings | inverse strongly-monotone mappings | Fixed points | Inverse strongly-monotone mappings | Variational inequalities | HILBERT SPACE | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FIXED-POINTS | nonexpansive mappings

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 8/2011, Volume 150, Issue 2, pp. 360 - 378

It is well known that the gradient-projection algorithm (GPA) plays an important role in solving constrained convex minimization problems. In this article, we...

Mathematics | Theory of Computation | Maximal monotone operator | Optimization | Relaxed gradient-projection algorithm | Calculus of Variations and Optimal Control; Optimization | Averaged mapping | Constrained convex minimization | Operations Research/Decision Theory | Minimum-norm | Applications of Mathematics | Engineering, general | Regularization | Gradient-projection algorithm | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | SPLIT FEASIBILITY PROBLEM | PROXIMAL POINT ALGORITHM | ITERATIVE ALGORITHMS | VARIATIONAL-INEQUALITIES | NONLINEAR OPERATORS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | BANACH-SPACES | VISCOSITY APPROXIMATION METHODS | MONOTONE-OPERATORS | STRONG-CONVERGENCE | Algorithms | Studies | Mapping | Constraints | Minimization | Hilbert space | Convergence

Mathematics | Theory of Computation | Maximal monotone operator | Optimization | Relaxed gradient-projection algorithm | Calculus of Variations and Optimal Control; Optimization | Averaged mapping | Constrained convex minimization | Operations Research/Decision Theory | Minimum-norm | Applications of Mathematics | Engineering, general | Regularization | Gradient-projection algorithm | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | SPLIT FEASIBILITY PROBLEM | PROXIMAL POINT ALGORITHM | ITERATIVE ALGORITHMS | VARIATIONAL-INEQUALITIES | NONLINEAR OPERATORS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | BANACH-SPACES | VISCOSITY APPROXIMATION METHODS | MONOTONE-OPERATORS | STRONG-CONVERGENCE | Algorithms | Studies | Mapping | Constraints | Minimization | Hilbert space | 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 -monotone mappings in a Hilbert space setting is introduced, and then based on the...

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

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

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 70, Issue 7, pp. 2707 - 2716

In this paper, we prove strong convergence theorems to a zero of monotone mapping and a fixed point of relatively weak nonexpansive mapping. Moreover, strong...

Strongly monotone mappings | variational inequality problems | Monotone mappings | Strong convergence | [formula omitted]-inverse strongly monotone mappings | Generalized projection | γ-inverse strongly monotone mappings | gamma-inverse strongly monotone mappings | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | BANACH-SPACES | OPERATORS

Strongly monotone mappings | variational inequality problems | Monotone mappings | Strong convergence | [formula omitted]-inverse strongly monotone mappings | Generalized projection | γ-inverse strongly monotone mappings | gamma-inverse strongly monotone mappings | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | BANACH-SPACES | OPERATORS

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 01/2006, Volume 128, Issue 1, pp. 191 - 201

In this paper, we introduce an iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions...

fixed points | Operations Research/Decision Theory | Calculus of Variations and Optimal Control | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Extragradient method | monotone mappings | variational inequalities | Optimization | nonexpansive mappings | Fixed points | Monotone mappings | Nonexpansive mappings | Variational inequalities | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | extragradient method | FIXED-POINTS | Studies | Mapping | Theorems | Inequalities | Convergence

fixed points | Operations Research/Decision Theory | Calculus of Variations and Optimal Control | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Extragradient method | monotone mappings | variational inequalities | Optimization | nonexpansive mappings | Fixed points | Monotone mappings | Nonexpansive mappings | Variational inequalities | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | extragradient method | FIXED-POINTS | Studies | Mapping | Theorems | Inequalities | Convergence

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2005, Volume 61, Issue 3, pp. 341 - 350

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of...

Metric projection | Inverse-strongly monotone mapping | Strong convergence | Variational inequality | Nonexpansive mapping | MATHEMATICS, APPLIED | nonexpansive mapping | variational inequality | strong convergence | VARIATIONAL-INEQUALITIES | MATHEMATICS | inverse-strongly monotone mapping | metric projection | WEAK-CONVERGENCE | CONSTRUCTION | HILBERT-SPACE | OPERATORS | FIXED-POINTS

Metric projection | Inverse-strongly monotone mapping | Strong convergence | Variational inequality | Nonexpansive mapping | MATHEMATICS, APPLIED | nonexpansive mapping | variational inequality | strong convergence | VARIATIONAL-INEQUALITIES | MATHEMATICS | inverse-strongly monotone mapping | metric projection | WEAK-CONVERGENCE | CONSTRUCTION | HILBERT-SPACE | OPERATORS | FIXED-POINTS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 09/2016, Volume 287-288, pp. 74 - 82

In this paper, we introduce the concept of monotone -nonexpansive mappings in an ordered Banach space with the partial order ≤, which contains monotone...

The Mann iteration | Monotone α-nonexpansive mapping | Ordered Banach space | Fixed point | Convergence | STRICT PSEUDO-CONTRACTIONS | WEAK | MATHEMATICS, APPLIED | BANACH-SPACES | Monotone alpha-nonexpansive mapping | FAMILY | Theorems | Computation | Existence theorems | Mathematical models | Mapping | Banach space | Iterative methods

The Mann iteration | Monotone α-nonexpansive mapping | Ordered Banach space | Fixed point | Convergence | STRICT PSEUDO-CONTRACTIONS | WEAK | MATHEMATICS, APPLIED | BANACH-SPACES | Monotone alpha-nonexpansive mapping | FAMILY | Theorems | Computation | Existence theorems | Mathematical models | Mapping | Banach space | Iterative methods

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 9/2019, Volume 27, Issue 3, pp. 605 - 621

For a Hilbert space X and a mapping F : X ⇉ X $F: X\rightrightarrows X$ (potentially set-valued) that is maximal monotone locally around a pair ( x ̄ , y ̄ )...

Monotone mappings | Second-order sufficient optimality condition | Maximal monotone | Mathematics | Radius theorem | Optimization | 90C31 | 49J53 | Locally monotone | Analysis | 47H05 | Newton method | Optimization problem | MATHEMATICS, APPLIED | STABILITY

Monotone mappings | Second-order sufficient optimality condition | Maximal monotone | Mathematics | Radius theorem | Optimization | 90C31 | 49J53 | Locally monotone | Analysis | 47H05 | Newton method | Optimization problem | MATHEMATICS, APPLIED | STABILITY

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 197, Issue 2, pp. 548 - 558

In this paper, we introduce a new iterative scheme for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of...

Strictly pseudocontractive mapping | Equilibrium problem | Variational inequality | α-Inverse-strongly monotone mapping | Nonexpansive mapping | Fixed point | MATHEMATICS, APPLIED | strictly pseudocontractive mapping | INEQUALITIES | equilibrium problem | nonexpansive mapping | alpha-inverse-strongly monotone mapping | variational inequality | WEAK | fixed point | THEOREMS | EXTRAGRADIENT METHOD | VISCOSITY APPROXIMATION METHODS | STRONG-CONVERGENCE

Strictly pseudocontractive mapping | Equilibrium problem | Variational inequality | α-Inverse-strongly monotone mapping | Nonexpansive mapping | Fixed point | MATHEMATICS, APPLIED | strictly pseudocontractive mapping | INEQUALITIES | equilibrium problem | nonexpansive mapping | alpha-inverse-strongly monotone mapping | variational inequality | WEAK | fixed point | THEOREMS | EXTRAGRADIENT METHOD | VISCOSITY APPROXIMATION METHODS | STRONG-CONVERGENCE

Journal Article

1988, Lecture notes in mathematics, ISBN 9780387503295, Volume 1347, 166

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are...

Functions of real variables | Topological dynamics | Mappings (Mathematics) | Mathematics | Real Functions

Functions of real variables | Topological dynamics | Mappings (Mathematics) | Mathematics | Real Functions

Book

SIAM Journal on Optimization, ISSN 1052-6234, 2006, Volume 16, Issue 4, pp. 1230 - 1241

In this paper we introduce an iterative process for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of...

Strong convergence | Hybrid method | Monotone mapping | Variational inequality | Extragradient method | Nonexpansive mapping | Fixed point | monotone mapping | MATHEMATICS, APPLIED | hybrid method | NONLINEAR MONOTONE | APPROXIMATIONS | nonexpansive mapping | variational inequality | strong convergence | VARIATIONAL-INEQUALITIES | extragradient method | fixed point | BANACH-SPACES | WEAK-CONVERGENCE | CONSTRUCTION | HILBERT-SPACE | OPERATORS

Strong convergence | Hybrid method | Monotone mapping | Variational inequality | Extragradient method | Nonexpansive mapping | Fixed point | monotone mapping | MATHEMATICS, APPLIED | hybrid method | NONLINEAR MONOTONE | APPROXIMATIONS | nonexpansive mapping | variational inequality | strong convergence | VARIATIONAL-INEQUALITIES | extragradient method | fixed point | BANACH-SPACES | WEAK-CONVERGENCE | CONSTRUCTION | HILBERT-SPACE | OPERATORS

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 55 - 61

The problem of finding a zero of the sum of two maximally monotone operators is of central importance in optimization. One successful method to find such a...

Theoretical, Mathematical and Computational Physics | Primary 47H09 | Proximal mapping | Mathematics | Nowhere dense set | Maximally monotone operator | Mathematical Methods in Physics | Resolvent | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | Firmly nonexpansive mapping | Douglas–Rachford algorithm | Combinatorics | Secondary 47H05 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Douglas-Rachford algorithm | POINT ALGORITHM | Algorithms | Operators | Mapping

Theoretical, Mathematical and Computational Physics | Primary 47H09 | Proximal mapping | Mathematics | Nowhere dense set | Maximally monotone operator | Mathematical Methods in Physics | Resolvent | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | Firmly nonexpansive mapping | Douglas–Rachford algorithm | Combinatorics | Secondary 47H05 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Douglas-Rachford algorithm | POINT ALGORITHM | Algorithms | Operators | Mapping

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2010, Volume 2010

We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with...

MATHEMATICS | RELAXED COCOERCIVE MAPPINGS | MATHEMATICS, APPLIED | INEQUALITIES | BANACH-SPACES | RESOLVENT OPERATOR TECHNIQUE | Studies | Problems | Fuzzy sets | Operations research | Hilbert space | Euclidean space | Banach spaces | Random variables

MATHEMATICS | RELAXED COCOERCIVE MAPPINGS | MATHEMATICS, APPLIED | INEQUALITIES | BANACH-SPACES | RESOLVENT OPERATOR TECHNIQUE | Studies | Problems | Fuzzy sets | Operations research | Hilbert space | Euclidean space | Banach spaces | Random variables

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2010, Volume 2010, Issue 1, pp. 1 - 24

The main purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued quasi-variational inclusions system involving...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | HILBERT-SPACES | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | BANACH-SPACES | PERTURBED ALGORITHM | SENSITIVITY-ANALYSIS | (H,ETA)-MONOTONE OPERATORS | ITERATIVE ALGORITHMS | PROJECTION METHODS | RESOLVENT OPERATOR TECHNIQUE | MONOTONE-OPERATORS | Usage | Convergence (Mathematics) | Algorithms | Banach spaces | Research | Studies | Operations research | Hilbert space | Sensitivity analysis | Operators | Existence theorems | Nonlinearity | Mapping | Banach space | Inclusions | Convergence

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | HILBERT-SPACES | MATHEMATICS, APPLIED | H-ACCRETIVE OPERATORS | BANACH-SPACES | PERTURBED ALGORITHM | SENSITIVITY-ANALYSIS | (H,ETA)-MONOTONE OPERATORS | ITERATIVE ALGORITHMS | PROJECTION METHODS | RESOLVENT OPERATOR TECHNIQUE | MONOTONE-OPERATORS | Usage | Convergence (Mathematics) | Algorithms | Banach spaces | Research | Studies | Operations research | Hilbert space | Sensitivity analysis | Operators | Existence theorems | Nonlinearity | Mapping | Banach space | Inclusions | Convergence

Journal Article

IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 06/2018, Volume 40, Issue 6, pp. 1424 - 1436

In this paper, a novel dissimilarity measure called Matching by Monotonic Tone Mapping (MMTM) is proposed. The MMTM technique allows matching under non-linear...

Histograms | Computer vision | Terminology | Transforms | Minimization | Feature extraction | Template matching | Pattern matching | monotonic tone mapping | dissimilarity function | ROTATION | RECOGNITION | INFORMATION | TEMPLATE | SIMILARITY MEASURE | IMAGE REGISTRATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | VESSEL SEGMENTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Economic models | Mapping | Computer simulation | Linear functions

Histograms | Computer vision | Terminology | Transforms | Minimization | Feature extraction | Template matching | Pattern matching | monotonic tone mapping | dissimilarity function | ROTATION | RECOGNITION | INFORMATION | TEMPLATE | SIMILARITY MEASURE | IMAGE REGISTRATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | VESSEL SEGMENTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Economic models | Mapping | Computer simulation | Linear functions

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2018, Volume 146, Issue 6, pp. 2451 - 2456

Let C be a nonempty, bounded, closed, and convex subset of a Banach space X and T: C \rightarrow C be a monotone asymptotically nonexpansive mapping. In this...

Asymptotic nonexpansive mapping | Monotone mapping | Uniformly convex | Partially ordered | And phrases | Fixed point | monotone mapping | uniformly convex | MATHEMATICS | partially ordered | MATHEMATICS, APPLIED | fixed point | PARTIALLY ORDERED SETS

Asymptotic nonexpansive mapping | Monotone mapping | Uniformly convex | Partially ordered | And phrases | Fixed point | monotone mapping | uniformly convex | MATHEMATICS | partially ordered | MATHEMATICS, APPLIED | fixed point | PARTIALLY ORDERED SETS

Journal Article

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