Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2015, Volume 426, Issue 2, pp. 1182 - 1191

Let be a closed, bounded and convex subset of a uniformly convex and uniformly smooth Banach space. Let be a strongly-continuous nonexpansive semigroup on ....

Nonexpansive semigroup | Fixed point iteration process | Nonexpansive mapping | Uniformly smooth Banach space | Fixed point | Implicit iterative process | MATHEMATICS | COMMON FIXED-POINTS | MATHEMATICS, APPLIED | MEAN ERGODIC THEOREM | OPERATORS | POINTWISE LIPSCHITZIAN MAPPINGS

Nonexpansive semigroup | Fixed point iteration process | Nonexpansive mapping | Uniformly smooth Banach space | Fixed point | Implicit iterative process | MATHEMATICS | COMMON FIXED-POINTS | MATHEMATICS, APPLIED | MEAN ERGODIC THEOREM | OPERATORS | POINTWISE LIPSCHITZIAN MAPPINGS

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 01/2020, Volume 28, Issue 1, pp. 49 - 66

Journal Article

3.
ON SOLVING THE VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES

FIXED POINT THEORY, ISSN 1583-5022, 2019, Volume 20, Issue 1, pp. 365 - 387

In this research, we focus on two main problems, the first one is a fixed point problem of a nonexpansive semigroup and the other is a variational inequality...

q-uniformly smooth | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | REVERSIBLE SEMIGROUP | ACCRETIVE-OPERATORS | variational inequality | Banach space | NONLINEAR ERGODIC THEOREM | nonexpansive semigroup | MATHEMATICS | fixed point | GENERALIZED SYSTEM | inverse-strongly accretive mapping | STRONG-CONVERGENCE

q-uniformly smooth | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | REVERSIBLE SEMIGROUP | ACCRETIVE-OPERATORS | variational inequality | Banach space | NONLINEAR ERGODIC THEOREM | nonexpansive semigroup | MATHEMATICS | fixed point | GENERALIZED SYSTEM | inverse-strongly accretive mapping | STRONG-CONVERGENCE

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2017, Volume 2017, Issue 1, pp. 154 - 12

The aim of this paper is to introduce a viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth spaces. Under...

nonexpansive mapping | uniformly smooth Banach space | strong convergence | implicit midpoint rule | STRICT PSEUDO-CONTRACTIONS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | GENERAL SYSTEM | 2-UNIFORMLY SMOOTH | FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | CONVERGENCE THEOREMS | ORDINARY DIFFERENTIAL-EQUATIONS | FIXED-POINTS | Viscosity | Iterative algorithms | Error analysis | Banach spaces | Iterative methods | 47H10 | 47J20 | Research | 49H09

nonexpansive mapping | uniformly smooth Banach space | strong convergence | implicit midpoint rule | STRICT PSEUDO-CONTRACTIONS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | GENERAL SYSTEM | 2-UNIFORMLY SMOOTH | FAMILY | VARIATIONAL-INEQUALITIES | MATHEMATICS | CONVERGENCE THEOREMS | ORDINARY DIFFERENTIAL-EQUATIONS | FIXED-POINTS | Viscosity | Iterative algorithms | Error analysis | Banach spaces | Iterative methods | 47H10 | 47J20 | Research | 49H09

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 06/2013, Volume 84, pp. 50 - 60

Let be a uniformly convex and uniformly smooth Banach space. Let be an asymptotic pointwise nonexpansive mapping, where is a bounded, closed and convex subset...

Asymptotic pointwise nonexpansive mapping | Fréchet differentiable norm | Fixed point iteration process | Ishikawa process | Uniformly smooth Banach space | Mann process | Uniformly convex Banach space | Fixed point | MATHEMATICS, APPLIED | WEAK-CONVERGENCE THEOREMS | ITERATION PROCESSES | CONTRACTIONS | MATHEMATICS | SEMIGROUPS | Frechet differentiable norm | CONSTRUCTION | MEAN ERGODIC THEOREM | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | FIXED-POINTS | Nonlinearity | Mapping | Banach space | Asymptotic properties | Convergence

Asymptotic pointwise nonexpansive mapping | Fréchet differentiable norm | Fixed point iteration process | Ishikawa process | Uniformly smooth Banach space | Mann process | Uniformly convex Banach space | Fixed point | MATHEMATICS, APPLIED | WEAK-CONVERGENCE THEOREMS | ITERATION PROCESSES | CONTRACTIONS | MATHEMATICS | SEMIGROUPS | Frechet differentiable norm | CONSTRUCTION | MEAN ERGODIC THEOREM | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | FIXED-POINTS | Nonlinearity | Mapping | Banach space | Asymptotic properties | Convergence

Journal Article

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, ISSN 1345-4773, 2018, Volume 19, Issue 7, pp. 1093 - 1107

In this paper, we introduce a new proximal operator which is called co-proximal operator and by using it, we establish an existence result for a unique...

MATHEMATICS | Accretive operators | MATHEMATICS, APPLIED | co-variational inclusion problems | INEQUALITIES | co-proximal operators | NONCOMPACT VALUED MAPPINGS | cocoercivity | uniformly smooth Banach spaces

MATHEMATICS | Accretive operators | MATHEMATICS, APPLIED | co-variational inclusion problems | INEQUALITIES | co-proximal operators | NONCOMPACT VALUED MAPPINGS | cocoercivity | uniformly smooth Banach spaces

Journal Article

Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 2018, Volume 19, Issue 7, pp. 1093 - 1107

Journal Article

Numerical Algebra, Control and Optimization, ISSN 2155-3289, 03/2018, Volume 8, Issue 1, pp. 81 - 95

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2012, Volume 140, Issue 8, pp. 2767 - 2782

On a class of implicit differential inclusions, Proc. Amer. Math. Soc., 124 (1996), no. 3, 745-749.]]]>

Mathematical monotonicity | Differential equations | Differentials | Separable spaces | Hilbert spaces | Mathematical duality | Banach space | Differential variability inequalities | Perceptron convergence procedure | Uniformly smooth and uniformly convex Banach spaces | Duality mapping | Generalized projection | Implicit convex sweeping process | MATHEMATICS | MATHEMATICS, APPLIED | PROXIMAL ANALYSIS | duality mapping | implicit convex sweeping process | generalized projection

Mathematical monotonicity | Differential equations | Differentials | Separable spaces | Hilbert spaces | Mathematical duality | Banach space | Differential variability inequalities | Perceptron convergence procedure | Uniformly smooth and uniformly convex Banach spaces | Duality mapping | Generalized projection | Implicit convex sweeping process | MATHEMATICS | MATHEMATICS, APPLIED | PROXIMAL ANALYSIS | duality mapping | implicit convex sweeping process | generalized projection

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 20

We prove some existence theorems for solutions of a certain system of multivariate nonexpansive operator equations and calculate the solutions by using the...

Systems of nonexpansive operator equations | Analysis | Uniformly smooth | Mathematics, general | Mathematics | Iterative algorithms | Applications of Mathematics | Uniformly convex | Banach space | Solution | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | CONVERGENCE THEOREMS | METRIC-SPACES | MAPPINGS | Research

Systems of nonexpansive operator equations | Analysis | Uniformly smooth | Mathematics, general | Mathematics | Iterative algorithms | Applications of Mathematics | Uniformly convex | Banach space | Solution | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | CONVERGENCE THEOREMS | METRIC-SPACES | MAPPINGS | Research

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 6/2019, Volume 21, Issue 2, pp. 1 - 21

In this paper, we first study a simple viscosity iterative algorithm for finding a fixed point of a nonexpansive mapping in uniformly smooth Banach space and...

Mathematical Methods in Physics | Strong convergence | 47H10 | uniformly smooth Banach space | fixed point | Analysis | Mathematics, general | Mathematics | variational inequality | 49M05 | 49H09 | 47H17 | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | SEQUENCES | PSEUDOCONTRACTIVE MAPPINGS | COUNTABLE FAMILY | GENERAL SYSTEM | ALGORITHMS | 2-UNIFORMLY SMOOTH | MATHEMATICS | ITERATIVE METHODS | VISCOSITY APPROXIMATION METHODS | Algorithms | Theorems | Fixed points (mathematics) | Inequalities | Mapping | Iterative algorithms | Hilbert space | Banach spaces | Iterative methods | Banach space | Convergence

Mathematical Methods in Physics | Strong convergence | 47H10 | uniformly smooth Banach space | fixed point | Analysis | Mathematics, general | Mathematics | variational inequality | 49M05 | 49H09 | 47H17 | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | SEQUENCES | PSEUDOCONTRACTIVE MAPPINGS | COUNTABLE FAMILY | GENERAL SYSTEM | ALGORITHMS | 2-UNIFORMLY SMOOTH | MATHEMATICS | ITERATIVE METHODS | VISCOSITY APPROXIMATION METHODS | Algorithms | Theorems | Fixed points (mathematics) | Inequalities | Mapping | Iterative algorithms | Hilbert space | Banach spaces | Iterative methods | Banach space | Convergence

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 05/2009, Volume 70, Issue 9, pp. 3236 - 3242

Let C be a closed convex subset of a real q-uniformly smooth Banach space and T : C → C, i = 1, 2, ..., N be a finite family of mappings which are strictly...

λ-strict pseudo-contraction | Parallel algorithm | Strong convergence | Normal Mann iteration | q-uniformly smooth Banach spaces | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | LIPSCHITZ PSEUDOCONTRACTIONS | WEAK | MATHEMATICS | SEMIGROUPS | lambda-strict pseudo-contraction | ITERATIVE METHODS | FIXED-POINTS

λ-strict pseudo-contraction | Parallel algorithm | Strong convergence | Normal Mann iteration | q-uniformly smooth Banach spaces | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | LIPSCHITZ PSEUDOCONTRACTIONS | WEAK | MATHEMATICS | SEMIGROUPS | lambda-strict pseudo-contraction | ITERATIVE METHODS | FIXED-POINTS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 17

In the present paper, we introduce a general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of strict...

inverse strongly accretive operator | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | iterative algorithm | q -uniformly smooth Banach space | 47H10 | fixed point | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 49J05 | q-uniformly smooth Banach space | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONSTRUCTION | COUNTABLE FAMILY | Fixed point theory | Usage | Banach spaces | Iterative methods (Mathematics) | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

inverse strongly accretive operator | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | iterative algorithm | q -uniformly smooth Banach space | 47H10 | fixed point | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 49J05 | q-uniformly smooth Banach space | MATHEMATICS | NONEXPANSIVE-MAPPINGS | CONSTRUCTION | COUNTABLE FAMILY | Fixed point theory | Usage | Banach spaces | Iterative methods (Mathematics) | Fixed points (mathematics) | Approximation | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

Journal Article

14.
Full Text
Convergence theorems for strict pseudo-contractions in q -uniformly smooth Banach spaces

Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 71, Issue 10, pp. 4572 - 4580

In this paper, we discuss some properties of iterates generated by a strict pseudo-contraction or a finite family of strict pseudo-contractions in a real...

Weak convergence | [formula omitted]-strict pseudo-contraction | The normal Mann iteration | Strong convergence | [formula omitted]-uniformly smooth Banach space | λ-strict pseudo-contraction | q-uniformly smooth Banach space | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | WEAK | MATHEMATICS | SEMIGROUPS | lambda-strict pseudo-contraction | ITERATIVE METHODS | FIXED-POINTS

Weak convergence | [formula omitted]-strict pseudo-contraction | The normal Mann iteration | Strong convergence | [formula omitted]-uniformly smooth Banach space | λ-strict pseudo-contraction | q-uniformly smooth Banach space | HILBERT-SPACES | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | WEAK | MATHEMATICS | SEMIGROUPS | lambda-strict pseudo-contraction | ITERATIVE METHODS | FIXED-POINTS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2015, Volume 421, Issue 1, pp. 747 - 753

Let be a uniformly convex and uniformly smooth Banach space. Assume that the , , are closed linear subspaces of , is the best approximation operator to the...

Uniformly convex | Uniformly smooth | Alternating algorithm | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms

Uniformly convex | Uniformly smooth | Alternating algorithm | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 01/2010, Volume 59, Issue 1, pp. 149 - 160

In this paper, we study a general iterative process to have strong convergence for a finite family of -strict pseudo-contractive non-self-mappings in the...

[formula omitted]-strict pseudo-contraction | Iterative algorithm | Strong convergence | [formula omitted]-uniformly smooth Banach spaces | Fixed point | λ-strict pseudo-contraction | q-uniformly smooth Banach spaces

[formula omitted]-strict pseudo-contraction | Iterative algorithm | Strong convergence | [formula omitted]-uniformly smooth Banach spaces | Fixed point | λ-strict pseudo-contraction | q-uniformly smooth Banach spaces

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 3/2013, Volume 21, Issue 1, pp. 1 - 16

In this paper we prove the existence of solutions of some types of second order implicit differential inclusions in reflexive smooth Banach spaces.

Geometry | Uniformly smooth and uniformly convex Banach spaces | 49J53 | Analysis | Generalized projection | Mathematics | Duality mapping | 34A60 | Implicit convex sweeping process | Implicit convex sweeping process | MATHEMATICS, APPLIED | EQUATIONS | CLAIRAUT TYPE

Geometry | Uniformly smooth and uniformly convex Banach spaces | 49J53 | Analysis | Generalized projection | Mathematics | Duality mapping | 34A60 | Implicit convex sweeping process | Implicit convex sweeping process | MATHEMATICS, APPLIED | EQUATIONS | CLAIRAUT TYPE

Journal Article

数学学报：英文版, ISSN 1439-8516, 2015, Volume 31, Issue 9, pp. 1435 - 1448

The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of...

巴拿赫空间 | 迭代算法 | 广义变分不等式问题 | 强增生映射 | 严格伪压缩 | 一致光滑 | 强收敛定理 | 47H10 | uniformly smooth Banach space | Variational inequality | fixed point | 47H09 | Mathematics, general | Mathematics | 47J25 | strong convergence | MATHEMATICS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INFINITE FAMILY | GENERAL SYSTEM | STRONG-CONVERGENCE THEOREMS | Algorithms | Equality | Studies | Banach spaces | Iterative methods | Mathematical analysis | Viscosity | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

巴拿赫空间 | 迭代算法 | 广义变分不等式问题 | 强增生映射 | 严格伪压缩 | 一致光滑 | 强收敛定理 | 47H10 | uniformly smooth Banach space | Variational inequality | fixed point | 47H09 | Mathematics, general | Mathematics | 47J25 | strong convergence | MATHEMATICS | APPROXIMATION METHODS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INFINITE FAMILY | GENERAL SYSTEM | STRONG-CONVERGENCE THEOREMS | Algorithms | Equality | Studies | Banach spaces | Iterative methods | Mathematical analysis | Viscosity | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

Journal Article

COMPUTERS & MATHEMATICS WITH APPLICATIONS, ISSN 0898-1221, 01/2010, Volume 59, Issue 1, pp. 149 - 160

In this paper, we study a general iterative process to have strong convergence for a finite family of lambda(i)-strict pseudo-contractive non-self-mappings in...

WEAK | COMMON FIXED-POINTS | HILBERT-SPACES | MATHEMATICS, APPLIED | Strong convergence | NONEXPANSIVE-MAPPINGS | lambda-strict pseudo-contraction | APPROXIMATION | Iterative algorithm | Fixed point | q-uniformly smooth Banach spaces

WEAK | COMMON FIXED-POINTS | HILBERT-SPACES | MATHEMATICS, APPLIED | Strong convergence | NONEXPANSIVE-MAPPINGS | lambda-strict pseudo-contraction | APPROXIMATION | Iterative algorithm | Fixed point | q-uniformly smooth Banach spaces

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 12/2013, Volume 57, Issue 4, pp. 1327 - 1348

In this paper, we introduce a general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive...

Strong convergence | Strongly accretive operator | Banach space | Optimization | Economics / Management Science | q -Uniformly smooth | 47H10 | Operations Research/Decision Theory | Inverse strongly accretive operator | 47H09 | Iterative algorithm | Computer Science, general | 47H17 | Real Functions | Fixed point | q-Uniformly smooth | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COUNTABLE FAMILY | STRONG-CONVERGENCE THEOREMS | Algorithms | Studies | Mapping | Banach spaces | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Inverse | Convergence

Strong convergence | Strongly accretive operator | Banach space | Optimization | Economics / Management Science | q -Uniformly smooth | 47H10 | Operations Research/Decision Theory | Inverse strongly accretive operator | 47H09 | Iterative algorithm | Computer Science, general | 47H17 | Real Functions | Fixed point | q-Uniformly smooth | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COUNTABLE FAMILY | STRONG-CONVERGENCE THEOREMS | Algorithms | Studies | Mapping | Banach spaces | Theorems | Fixed points (mathematics) | Inequalities | Iterative algorithms | Inverse | Convergence

Journal Article

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