Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 05/2009, Volume 70, Issue 9, pp. 3307 - 3319

In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed...

A family of infinitely nonexpansive mappings | α-inverse-strongly monotone mapping | Equilibrium problem | Viscosity approximation method | Fixed point | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | alpha-inverse-strongly monotone mapping | MONOTONE MAPPINGS | ALGORITHMS | MATHEMATICS | THEOREMS | OPERATORS | STRONG-CONVERGENCE | Methods | Equality

A family of infinitely nonexpansive mappings | α-inverse-strongly monotone mapping | Equilibrium problem | Viscosity approximation method | Fixed point | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | alpha-inverse-strongly monotone mapping | MONOTONE MAPPINGS | ALGORITHMS | MATHEMATICS | THEOREMS | OPERATORS | STRONG-CONVERGENCE | Methods | Equality

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 04/2018, Volume 75, Issue 7, pp. 2193 - 2216

In this paper, employing a fixed point-collocation method, we solve an optimal control problem for a model of tumor growth with drug application. This model is...

Parabolic–hyperbolic equation | Free boundary problem | Collocation method | Optimal control | Fixed point method | Parabolic-hyperbolic equation | MATHEMATICS, APPLIED | INVASION | SOLID TUMOR | Models | Drug therapy | Methods | Differential equations | Tumors

Parabolic–hyperbolic equation | Free boundary problem | Collocation method | Optimal control | Fixed point method | Parabolic-hyperbolic equation | MATHEMATICS, APPLIED | INVASION | SOLID TUMOR | Models | Drug therapy | Methods | Differential equations | Tumors

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 72, Issue 2, pp. 916 - 924

In this paper, we investigate the existence and uniqueness of positive solutions for a nonlocal boundary value problem of fractional differential equation....

Fractional differential equation | Fixed point index | Green’s function | Positive solution | Green's function | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATION | Boundary value problems | Reduction | Equivalence | Integral equations | Mathematical analysis | Differential equations | Uniqueness | Nonlinearity

Fractional differential equation | Fixed point index | Green’s function | Positive solution | Green's function | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATION | Boundary value problems | Reduction | Equivalence | Integral equations | Mathematical analysis | Differential equations | Uniqueness | Nonlinearity

Journal Article

11/2010

Several conjectured and proven generalizations of the Brouwer Fixed Point Theorem are examined, the plane fixed point problem in particular. The difficulties...

fixed point theorems | 0405

fixed point theorems | 0405

Dissertation

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 331, Issue 1, pp. 506 - 515

In this paper, we introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium...

Equilibrium problem | Viscosity approximation method | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | viscosity approximation method | equilibrium problem | nonexpansive mapping

Equilibrium problem | Viscosity approximation method | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | viscosity approximation method | equilibrium problem | nonexpansive mapping

Journal Article

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 6, pp. 3217 - 3230

In this paper, we present a new algorithm for the split equality problem for finding a common element of solution of equilibrium problem, solution of...

Split equality problem | ALTERNATING PROXIMAL ALGORITHMS | SET | CONVEX FEASIBILITY | equilibrium problem | variational inequality | ITERATIVE ALGORITHMS | MATHEMATICS | PROJECTION | fixed point | MAPPINGS | nonexpansive semigroups | OPERATORS | STRONG-CONVERGENCE

Split equality problem | ALTERNATING PROXIMAL ALGORITHMS | SET | CONVEX FEASIBILITY | equilibrium problem | variational inequality | ITERATIVE ALGORITHMS | MATHEMATICS | PROJECTION | fixed point | MAPPINGS | nonexpansive semigroups | OPERATORS | STRONG-CONVERGENCE

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 14

The purpose of this paper is to study the split feasibility problem and fixed point problem involved in the pseudocontractive mappings. We construct an...

split feasibility problem | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | pseudocontractive mapping | Differential Geometry | fixed point problem | MATHEMATICS | NONEXPANSIVE-MAPPINGS | SETS | ITERATIVE ALGORITHMS | Fixed point theory | Usage | Algorithms | Mappings (Mathematics) | Construction | Feasibility | Iterative algorithms | Mapping | Convergence

split feasibility problem | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | pseudocontractive mapping | Differential Geometry | fixed point problem | MATHEMATICS | NONEXPANSIVE-MAPPINGS | SETS | ITERATIVE ALGORITHMS | Fixed point theory | Usage | Algorithms | Mappings (Mathematics) | Construction | Feasibility | Iterative algorithms | Mapping | Convergence

Journal Article

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, ISSN 2066-5997, 2017, Volume 9, Issue 2, pp. 223 - 248

In this paper, we propose an algorithm involving a step-size selected in such a way that its implementation does not require the computation or an estimate of...

Maximal monotone mapping | Fixed point problem | Split equilibrium problem | Multi-valued quasi-nonexpansive mappings | Variational inequality problem | Hilbert space | Inverse strongly mono-tone | inverse strongly monotone | variational inequality problem | fixed point problem

Maximal monotone mapping | Fixed point problem | Split equilibrium problem | Multi-valued quasi-nonexpansive mappings | Variational inequality problem | Hilbert space | Inverse strongly mono-tone | inverse strongly monotone | variational inequality problem | fixed point problem

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 09/2018, Volume 347, pp. 142 - 151

This paper is devoted to introduce and study a new class of generalized vector complementarity problems ((GVCP), for short) and generalized vector variational...

Fuzzy mapping | KKM theorem | Generalized vector complementarity problem | Generalized vector variational inequality | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | BANACH-SPACES | VARIATIONAL INEQUALITY PROBLEMS | MAPPINGS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Fuzzy mapping | KKM theorem | Generalized vector complementarity problem | Generalized vector variational inequality | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | BANACH-SPACES | VARIATIONAL INEQUALITY PROBLEMS | MAPPINGS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 3/2018, Volume 176, Issue 3, pp. 605 - 624

The forward–backward splitting technique is a popular method for solving monotone inclusions that have applications in optimization. In this paper, we explore...

Normal problem | 65K05 | Primary 47H09 | Mathematics | Theory of Computation | Optimization | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Firmly nonexpansive mapping | Forward–backward splitting operator | 49M29 | 65K10 | 49M27 | 49N15 | Applications of Mathematics | Engineering, general | Secondary 47H05 | 47H14 | Attouch–Théra duality | Fixed point | MATHEMATICS, APPLIED | MAXIMALLY MONOTONE-OPERATORS | INCLUSIONS | Attouch-Thera duality | SIGNAL RECOVERY | DECOMPOSITION | SUM | PARAMONOTONICITY | SPACE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVERGENCE | MAPPINGS | DUALITY | Forward-backward splitting operator | Electrical engineering | Algorithms

Normal problem | 65K05 | Primary 47H09 | Mathematics | Theory of Computation | Optimization | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Firmly nonexpansive mapping | Forward–backward splitting operator | 49M29 | 65K10 | 49M27 | 49N15 | Applications of Mathematics | Engineering, general | Secondary 47H05 | 47H14 | Attouch–Théra duality | Fixed point | MATHEMATICS, APPLIED | MAXIMALLY MONOTONE-OPERATORS | INCLUSIONS | Attouch-Thera duality | SIGNAL RECOVERY | DECOMPOSITION | SUM | PARAMONOTONICITY | SPACE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVERGENCE | MAPPINGS | DUALITY | Forward-backward splitting operator | Electrical engineering | Algorithms

Journal Article

2003, Topological fixed point theory and its applications, ISBN 1402013809, Volume 1, xv, 761

Book

1978, ISBN 9780444851239, Volume 7/9., viii, 184

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 354, Issue 1, pp. 319 - 329

In this paper, we introduce and analyze a new hybrid iterative algorithm for finding a common element of the set of solutions of mixed equilibrium problems and...

Mixed equilibrium problem | Hybrid iterative scheme | Optimization problem | Nonexpansive mapping | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | ALGORITHMS | MATHEMATICS | GENERAL VARIATIONAL-INEQUALITIES | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | STRONG-CONVERGENCE | Analysis | Algorithms

Mixed equilibrium problem | Hybrid iterative scheme | Optimization problem | Nonexpansive mapping | Fixed point | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | ALGORITHMS | MATHEMATICS | GENERAL VARIATIONAL-INEQUALITIES | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | STRONG-CONVERGENCE | Analysis | Algorithms

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 11/2012, Volume 25, Issue 11, pp. 1671 - 1675

This paper studies the existence of solutions for an anti-periodic boundary value problem for the fractional -Laplacian equation. Under certain nonlinear...

Fractional differential equation | [formula omitted]-Laplacian operator | Anti-periodic boundary value conditions | Schaefer’s fixed point theorem | Existence | Schaefer's fixed point theorem | P-Laplacian operator | p-Laplacian operator | MATHEMATICS, APPLIED | HIGHER-ORDER | POSITIVE SOLUTIONS | Differential equations

Fractional differential equation | [formula omitted]-Laplacian operator | Anti-periodic boundary value conditions | Schaefer’s fixed point theorem | Existence | Schaefer's fixed point theorem | P-Laplacian operator | p-Laplacian operator | MATHEMATICS, APPLIED | HIGHER-ORDER | POSITIVE SOLUTIONS | Differential equations

Journal Article

1988, ISBN 012293475X, viii, 275

Book

Computers and Mathematics with Applications, ISSN 0898-1221, 06/2018, Volume 75, Issue 11, pp. 3918 - 3928

This paper deals with existence and uniqueness results for a transient nonlinear radiative–conductive system in three-dimensional case. This system describes...

Semi-transparent medium | Existence-uniqueness result | Nonlinear radiative–conductive heat transfer system | Banach fixed point theorem | SYSTEM | MATHEMATICS, APPLIED | GLASS COOLING PROCESSES | SOLVABILITY | BOUNDARY-CONDITION | FINITE-VOLUME METHOD | NONSTATIONARY PROBLEM | Nonlinear radiative-conductive heat transfer system | LATTICE BOLTZMANN METHOD | BODIES | EQUATION | Mathematics - Analysis of PDEs

Semi-transparent medium | Existence-uniqueness result | Nonlinear radiative–conductive heat transfer system | Banach fixed point theorem | SYSTEM | MATHEMATICS, APPLIED | GLASS COOLING PROCESSES | SOLVABILITY | BOUNDARY-CONDITION | FINITE-VOLUME METHOD | NONSTATIONARY PROBLEM | Nonlinear radiative-conductive heat transfer system | LATTICE BOLTZMANN METHOD | BODIES | EQUATION | Mathematics - Analysis of PDEs

Journal Article

Journal of Intelligent Manufacturing, ISSN 0956-5515, 3/2017, Volume 28, Issue 3, pp. 605 - 613

In this paper, we propose a bang–bang control model for a saddle point problem using the optimistic value criterion. By using equation of optimality in...

Uncertain process | Business and Management | Control, Robotics, Mechatronics | Optimistic value | Production | Manufacturing, Machines, Tools | Bang–bang control | Differential game | Saddle point | SYSTEM | Bang-bang control | THEOREMS | STOCHASTIC DIFFERENTIAL-GAMES | EQUATIONS | MODEL | ENGINEERING, MANUFACTURING | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Fixed point theory | Research | Control theory | Mathematical research | Studies | Mathematical analysis | Game theory | Optimization | Saddle points | Optimal control | Mathematical models | Criteria | Intelligent manufacturing systems

Uncertain process | Business and Management | Control, Robotics, Mechatronics | Optimistic value | Production | Manufacturing, Machines, Tools | Bang–bang control | Differential game | Saddle point | SYSTEM | Bang-bang control | THEOREMS | STOCHASTIC DIFFERENTIAL-GAMES | EQUATIONS | MODEL | ENGINEERING, MANUFACTURING | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Fixed point theory | Research | Control theory | Mathematical research | Studies | Mathematical analysis | Game theory | Optimization | Saddle points | Optimal control | Mathematical models | Criteria | Intelligent manufacturing systems

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2018, Volume 41, Issue 2, pp. 826 - 838

The purpose of this paper is the presentation of a new extragradient algorithm in 2‐uniformly convex real Banach spaces. We prove that the sequences generated...

split feasibility problem | variational inequality | generalized metric projection | generalized equilibrium problem | relatively nonexpansive mapping | Generalized metric projection | Split feasibility problem | Variational inequality | Relatively nonexpansive mapping | Generalized equilibrium problem | MATHEMATICS, APPLIED | ALGORITHM | STRONG-CONVERGENCE THEOREMS | WEAK-CONVERGENCE | PROXIMAL-TYPE | RELATIVELY NONEXPANSIVE-MAPPINGS | MONOTONE-OPERATORS | FIXED-POINT PROBLEMS

split feasibility problem | variational inequality | generalized metric projection | generalized equilibrium problem | relatively nonexpansive mapping | Generalized metric projection | Split feasibility problem | Variational inequality | Relatively nonexpansive mapping | Generalized equilibrium problem | MATHEMATICS, APPLIED | ALGORITHM | STRONG-CONVERGENCE THEOREMS | WEAK-CONVERGENCE | PROXIMAL-TYPE | RELATIVELY NONEXPANSIVE-MAPPINGS | MONOTONE-OPERATORS | FIXED-POINT PROBLEMS

Journal Article

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, ISSN 1661-7738, 09/2018, Volume 20, Issue 3, p. 1

Professor Andrzej Fryszkowski formulated, at the 2nd Symposium on Nonlinear Analysis in ToruA", September 13-17, 1999, the following problem: given , an...

MATHEMATICS, APPLIED | CONVERSE | alpha-similarity | alpha-contractions | FIXED-POINT THEOREM | Fixed point of a multi-valued map | QUESTION | MATHEMATICS | BANACHS CONTRACTION THEOREM | MAPPINGS | NADLERS | SYSTEMS | Hausdorff-Pompeiu distance

MATHEMATICS, APPLIED | CONVERSE | alpha-similarity | alpha-contractions | FIXED-POINT THEOREM | Fixed point of a multi-valued map | QUESTION | MATHEMATICS | BANACHS CONTRACTION THEOREM | MAPPINGS | NADLERS | SYSTEMS | Hausdorff-Pompeiu distance

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 9/2018, Volume 20, Issue 3, pp. 1 - 8

Professor Andrzej Fryszkowski formulated, at the 2nd Symposium on Nonlinear Analysis in Toruń, September 13–17, 1999, the following problem: given $$\alpha \in...

Mathematical Methods in Physics | Analysis | alpha $$ α -similarity | Mathematics, general | Mathematics | Fixed point of a multi-valued map | 54C60 | Hausdorff–Pompeiu distance | alpha $$ α -contractions | 54H25 | α-contractions | α-similarity

Mathematical Methods in Physics | Analysis | alpha $$ α -similarity | Mathematics, general | Mathematics | Fixed point of a multi-valued map | 54C60 | Hausdorff–Pompeiu distance | alpha $$ α -contractions | 54H25 | α-contractions | α-similarity

Journal Article

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