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

In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space...

Strong convergence | Fixed point problem | Strict pseudo-contractions | Analysis | Mathematics, general | Iterative method | Mathematics | Applications of Mathematics | Banach space | MATHEMATICS, APPLIED | INEQUALITIES | APPROXIMATION | EXPANSIONS | COUNTABLE FAMILY | IMPLICIT MIDPOINT RULE | MATHEMATICS | COMMON FIXED-POINTS | THEOREMS | CONSTRUCTION | ITERATIVE METHODS | STRONG-CONVERGENCE | Viscosity | Banach spaces | Iterative methods | Research

Strong convergence | Fixed point problem | Strict pseudo-contractions | Analysis | Mathematics, general | Iterative method | Mathematics | Applications of Mathematics | Banach space | MATHEMATICS, APPLIED | INEQUALITIES | APPROXIMATION | EXPANSIONS | COUNTABLE FAMILY | IMPLICIT MIDPOINT RULE | MATHEMATICS | COMMON FIXED-POINTS | THEOREMS | CONSTRUCTION | ITERATIVE METHODS | STRONG-CONVERGENCE | Viscosity | Banach spaces | Iterative methods | Research

Journal Article

Journal of Universal Computer Science, ISSN 0948-695X, 2016, Volume 22, Issue 7, pp. 943 - 955

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 6/2014, Volume 2014, pp. 1 - 6

... } are introduced for an infinite family of asymptotically nonexpansive mappings T i i = 1 ∞ in this paper. Under some appropriate conditions, we prove that the iterative sequences...

APPROXIMATION METHODS | MATHEMATICS, APPLIED | COUNTABLE FAMILY | ERRORS | FINITE FAMILY | IMPLICIT ITERATION PROCESS | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Studies | Theorems | Inequality | Convergence

APPROXIMATION METHODS | MATHEMATICS, APPLIED | COUNTABLE FAMILY | ERRORS | FINITE FAMILY | IMPLICIT ITERATION PROCESS | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Studies | Theorems | Inequality | Convergence

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 7/2015, Volume 38, Issue 3, pp. 1157 - 1175

In this paper, we propose new projection methods for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the solution set of a pseudomonotone equilibrium problem...

Armijo-type linesearch technique | 90 C33 | Equilibrium problem | 90 C25 | Mathematics, general | 65 K10 | Mathematics | Applications of Mathematics | Pseudomonotone | Nonexpansive mappings | 65 K15 | APPROXIMATION METHODS | HILBERT-SPACES | THEOREM | VARIATIONAL INEQUALITY PROBLEMS | COUNTABLE FAMILY | MONOTONE MAPPINGS | WEAK | MATHEMATICS | EXTRAGRADIENT METHOD | FIXED-POINT PROBLEMS | STRONG-CONVERGENCE | Equilibrium methods | Sequences

Armijo-type linesearch technique | 90 C33 | Equilibrium problem | 90 C25 | Mathematics, general | 65 K10 | Mathematics | Applications of Mathematics | Pseudomonotone | Nonexpansive mappings | 65 K15 | APPROXIMATION METHODS | HILBERT-SPACES | THEOREM | VARIATIONAL INEQUALITY PROBLEMS | COUNTABLE FAMILY | MONOTONE MAPPINGS | WEAK | MATHEMATICS | EXTRAGRADIENT METHOD | FIXED-POINT PROBLEMS | STRONG-CONVERGENCE | Equilibrium methods | Sequences

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 13

A new general iterative method for finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and studied...

strictly pseudocontractive mapping | countable family of uniformly k -strictly pseudocontractive mappings | Mathematical and Computational Biology | Analysis | inverse strongly monotone mapping | countable family of nonexpansive mappings | Mathematics, general | Mathematics | variational inequality | Topology | Applications of Mathematics | Differential Geometry | Strictly pseudocontractive mapping | Variational inequality | Countable family of nonexpansive mappings | Countable family of uniformly k-strictly pseudocontractive mappings | Inverse strongly monotone mapping | MATHEMATICS | countable family of uniformly k-strictly pseudocontractive mappings | HILBERT-SPACES | MATHEMATICS, APPLIED | VISCOSITY APPROXIMATION METHODS | Usage | Fixed point theory | Convergence (Mathematics) | Point mappings (Mathematics) | Calculus of variations | Methods | Monotonic functions | Theorems | Fixed points (mathematics) | Mathematical analysis | Classification | Inequalities | Inverse | Mapping | Iterative methods | Convergence

strictly pseudocontractive mapping | countable family of uniformly k -strictly pseudocontractive mappings | Mathematical and Computational Biology | Analysis | inverse strongly monotone mapping | countable family of nonexpansive mappings | Mathematics, general | Mathematics | variational inequality | Topology | Applications of Mathematics | Differential Geometry | Strictly pseudocontractive mapping | Variational inequality | Countable family of nonexpansive mappings | Countable family of uniformly k-strictly pseudocontractive mappings | Inverse strongly monotone mapping | MATHEMATICS | countable family of uniformly k-strictly pseudocontractive mappings | HILBERT-SPACES | MATHEMATICS, APPLIED | VISCOSITY APPROXIMATION METHODS | Usage | Fixed point theory | Convergence (Mathematics) | Point mappings (Mathematics) | Calculus of variations | Methods | Monotonic functions | Theorems | Fixed points (mathematics) | Mathematical analysis | Classification | Inequalities | Inverse | Mapping | Iterative methods | Convergence

Journal Article

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, ISSN 1578-7303, 09/2015, Volume 109, Issue 2, pp. 717 - 730

Journal Article

Topology and its Applications, ISSN 0166-8641, 2010, Volume 157, Issue 8, pp. 1379 - 1394

We consider generalizations of a well-known class of spaces, called by S. Mrówka, N ∪ R , where R is an infinite maximal almost disjoint family...

Countable cofinality | Continuous real-valued functions | Cardinal numbers | Stone–Čech compactification | Almost disjoint families | Mrówka–Isbell Ψ-spaces | Mrówka-Isbell Ψ-spaces | Stone-Čech compactification | MATHEMATICS | MATHEMATICS, APPLIED | Mrowka-Isbell psi-spaces | Stone-Cech compactification

Countable cofinality | Continuous real-valued functions | Cardinal numbers | Stone–Čech compactification | Almost disjoint families | Mrówka–Isbell Ψ-spaces | Mrówka-Isbell Ψ-spaces | Stone-Čech compactification | MATHEMATICS | MATHEMATICS, APPLIED | Mrowka-Isbell psi-spaces | Stone-Cech compactification

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 3/2013, Volume 2013, pp. 1 - 7

We establish some strong convergence theorems for a common fixed point of a finite family of relatively nonexpansive mappings by using a new hybrid iterative method in mathematical programming...

MATHEMATICS, APPLIED | EXAMPLE | COUNTABLE FAMILIES | WEAK-CONVERGENCE | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mathematical analysis | Projection | Mapping | Banach space | Iterative methods | Convergence | Mathematical programming

MATHEMATICS, APPLIED | EXAMPLE | COUNTABLE FAMILIES | WEAK-CONVERGENCE | Fixed point theory | Convergence (Mathematics) | Research | Banach spaces | Mathematical research | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mathematical analysis | Projection | Mapping | Banach space | Iterative methods | Convergence | Mathematical programming

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2007, Volume 53, Issue 9, pp. 1380 - 1389

... . Consider the iterative sequence x n + 1 = λ n + 1 f ( x n ) + β x n + ( 1 − β − λ n + 1 ) W n x n , where W n is the W -mapping generated by an infinite countable family of nonexpansive mappings T n , T n − 1 , … , T 1 and α n , α n − 1 , … , α...

Strong convergence | An infinite countable family of nonexpansive mappings | Uniformly Gâteaux differentiable norm | Common fixed point | Viscosity approximation | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SEQUENCES | common fixed point | an infinite countable family of nonexpansive mappings | uniformly Gateaux differentiable norm | viscosity approximation | REFLEXIVE BANACH-SPACES | strong convergence | STRONG-CONVERGENCE | Fixed points (mathematics) | Approximation | Mathematical analysis | Norms | Mathematical models | Mapping | Gateaux | Banach space | Iterative methods | Inequalities

Strong convergence | An infinite countable family of nonexpansive mappings | Uniformly Gâteaux differentiable norm | Common fixed point | Viscosity approximation | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SEQUENCES | common fixed point | an infinite countable family of nonexpansive mappings | uniformly Gateaux differentiable norm | viscosity approximation | REFLEXIVE BANACH-SPACES | strong convergence | STRONG-CONVERGENCE | Fixed points (mathematics) | Approximation | Mathematical analysis | Norms | Mathematical models | Mapping | Gateaux | Banach space | Iterative methods | Inequalities

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 7

An up-to-date method is used for approximating common fixed points of countable families of nonlinear mappings...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | countable families of nonexpansive mappings | Applications of Mathematics | Topology | common fixed points | Differential Geometry | Picard-Mann hybrid iteration | strong and weak convergence | Strong and weak convergence | Countable families of nonexpansive mappings | Common fixed points | MATHEMATICS | Fixed point theory | Usage | Convergence (Mathematics) | Contraction operators

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | countable families of nonexpansive mappings | Applications of Mathematics | Topology | common fixed points | Differential Geometry | Picard-Mann hybrid iteration | strong and weak convergence | Strong and weak convergence | Countable families of nonexpansive mappings | Common fixed points | MATHEMATICS | Fixed point theory | Usage | Convergence (Mathematics) | Contraction operators

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 30

In this paper, we introduce a general algorithm to approximate common fixed points for a countable family of nonexpansive mappings in a real Hilbert space, which solves a corresponding variational inequality...

fixed point | Analysis | countable family of nonexpansive mappings | Mathematics, general | Mathematics | Applications of Mathematics | constrained convex minimization problem | projection method | strong convergence | Projection method | Strong convergence | Constrained convex minimization problem | Countable family of nonexpansive mappings | Fixed point | STRICT PSEUDO-CONTRACTIONS | HILBERT-SPACES | MATHEMATICS, APPLIED | GENERAL ITERATIVE METHOD | ALGORITHMS | VARIATIONAL-INEQUALITIES | MATHEMATICS | SEMIGROUPS | EQUILIBRIUM PROBLEMS | VISCOSITY APPROXIMATION METHODS | MONOTONE-OPERATORS | FIXED-POINT PROBLEMS

fixed point | Analysis | countable family of nonexpansive mappings | Mathematics, general | Mathematics | Applications of Mathematics | constrained convex minimization problem | projection method | strong convergence | Projection method | Strong convergence | Constrained convex minimization problem | Countable family of nonexpansive mappings | Fixed point | STRICT PSEUDO-CONTRACTIONS | HILBERT-SPACES | MATHEMATICS, APPLIED | GENERAL ITERATIVE METHOD | ALGORITHMS | VARIATIONAL-INEQUALITIES | MATHEMATICS | SEMIGROUPS | EQUILIBRIUM PROBLEMS | VISCOSITY APPROXIMATION METHODS | MONOTONE-OPERATORS | FIXED-POINT PROBLEMS

Journal Article

International Journal of Computer Mathematics, ISSN 0020-7160, 11/2012, Volume 89, Issue 16, pp. 2274 - 2279

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space...

quasi-nonexpansive mappings | common fixed point | countable family | one-step iterative | multivalued | Countable family | One-step iterative | Multivalued | Common fixed point | Quasi-nonexpansive mappings | WEAK | MATHEMATICS, APPLIED | MAPS | ISHIKAWA ITERATION | MANN | STRONG-CONVERGENCE | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Banach space | Iterative methods | Convergence

quasi-nonexpansive mappings | common fixed point | countable family | one-step iterative | multivalued | Countable family | One-step iterative | Multivalued | Common fixed point | Quasi-nonexpansive mappings | WEAK | MATHEMATICS, APPLIED | MAPS | ISHIKAWA ITERATION | MANN | STRONG-CONVERGENCE | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Banach space | Iterative methods | Convergence

Journal Article

13.
Full Text
APPROXIMATION OF COMMON FIXED POINT OF FAMILIES OF NONLINEAR MAPPINGS WITH APPLICATIONS

数学物理学报：B辑英文版, ISSN 0252-9602, 2015, Volume 35, Issue 5, pp. 1225 - 1240

... with. Furthermore, Applications of our theorems to approximation of common fixed point of countable infinite family of continuous pseudocontractive mappings and approximation of common solution...

巴拿赫空间 | 映射族 | 非线性 | 平衡问题 | 一致Gateaux可微 | 伪压缩映象 | 不动点逼近 | 公共不动点 | nonexpansive mappings, reflexive real Banach spaces | uniformly Gâteaux differentiable norm | fixed point | 47H09 | 47J05 | 47J25 | 47H06 | Nonexpansive mappings, reflexive real Banach spaces | Uniformly Gâteaux differentiable norm | Fixed point | MATHEMATICS | SEMIGROUPS | NONEXPANSIVE-MAPPINGS | CONVERGENCE THEOREMS | reflexive real Banach spaces | COUNTABLE FAMILY | FINITE FAMILIES | uniformly Gateaux differentiable norm | nonexpansive mappings | ITERATION PROCESS | UNIFORMLY CONVEX

巴拿赫空间 | 映射族 | 非线性 | 平衡问题 | 一致Gateaux可微 | 伪压缩映象 | 不动点逼近 | 公共不动点 | nonexpansive mappings, reflexive real Banach spaces | uniformly Gâteaux differentiable norm | fixed point | 47H09 | 47J05 | 47J25 | 47H06 | Nonexpansive mappings, reflexive real Banach spaces | Uniformly Gâteaux differentiable norm | Fixed point | MATHEMATICS | SEMIGROUPS | NONEXPANSIVE-MAPPINGS | CONVERGENCE THEOREMS | reflexive real Banach spaces | COUNTABLE FAMILY | FINITE FAMILIES | uniformly Gateaux differentiable norm | nonexpansive mappings | ITERATION PROCESS | UNIFORMLY CONVEX

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 8

An up-to-date method for the approximation of common fixed points of countable families of nonlinear operators is introduced, by which a relaxed three-step iterative algorithm is developed...

countable families of nonlinear operators | Mathematical and Computational Biology | Analysis | Lipschitz pseudocontractions | Mathematics, general | Mathematics | Applications of Mathematics | Topology | common fixed points | Differential Geometry | strong convergence | Strong convergence | Common fixed points | Countable families of nonlinear operators | MATHEMATICS | ISHIKAWA | Fixed point theory | Usage | Convergence (Mathematics) | Nonlinear programming | Contraction operators

countable families of nonlinear operators | Mathematical and Computational Biology | Analysis | Lipschitz pseudocontractions | Mathematics, general | Mathematics | Applications of Mathematics | Topology | common fixed points | Differential Geometry | strong convergence | Strong convergence | Common fixed points | Countable families of nonlinear operators | MATHEMATICS | ISHIKAWA | Fixed point theory | Usage | Convergence (Mathematics) | Nonlinear programming | Contraction operators

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 9/2015, Volume 109, Issue 2, pp. 717 - 730

...$$ X has a separating $$\sigma $$ σ -isolated family $${{\mathcal M}}\subset {{\mathcal F}}\cap {{\mathcal G}}$$ M ⊂ F ∩ G . ( $$\updelta $$ δ ) $$X$$ X has a one-to-one continuous map into a metric space which has a...

Gruenhage space | 54E99 | Theoretical, Mathematical and Computational Physics | Fragmentability | 46A99 | Mathematics | 54H99 | 46B26 | Descriptive compact | sigma $$ σ -Isolated family | Mathematics, general | Applications of Mathematics | Countable cover by sets of small local diameter

Gruenhage space | 54E99 | Theoretical, Mathematical and Computational Physics | Fragmentability | 46A99 | Mathematics | 54H99 | 46B26 | Descriptive compact | sigma $$ σ -Isolated family | Mathematics, general | Applications of Mathematics | Countable cover by sets of small local diameter

Journal Article

数学学报：英文版, ISSN 1439-8516, 2014, Volume 30, Issue 5, pp. 755 - 766

In this paper, it is shown that there is a gap in the paper [Chidume, C. E., Shahzad, N.： Weak convergence theorems for a finite family of strict pseudo-contractions...

显示 | 一致凸Banach空间 | 弱收敛定理 | 非线性分析 | 不动点理论 | 一致光滑Banach空间 | Pgt | 收缩 | weak convergence theorems | 47H09 | Mathematics, general | Mathematics | a countable family of λ -strict pseudo-contractions | Fréchet differentiable Banach spaces | 47H05 | Reich’s inequality | 49H17 | normal Mann iteration algorithm | a countable family of λ-strict pseudo-contractions | Reich's inequality | MATHEMATICS | Frechet differentiable Banach spaces | MATHEMATICS, APPLIED | MAPPINGS | a countable family of lambda-strict pseudo-contractions | FIXED-POINTS | Algorithms | Studies | Theorems | Mathematical models | Banach spaces | Convergence | Nonlinearity | Banach space | Mathematical analysis

显示 | 一致凸Banach空间 | 弱收敛定理 | 非线性分析 | 不动点理论 | 一致光滑Banach空间 | Pgt | 收缩 | weak convergence theorems | 47H09 | Mathematics, general | Mathematics | a countable family of λ -strict pseudo-contractions | Fréchet differentiable Banach spaces | 47H05 | Reich’s inequality | 49H17 | normal Mann iteration algorithm | a countable family of λ-strict pseudo-contractions | Reich's inequality | MATHEMATICS | Frechet differentiable Banach spaces | MATHEMATICS, APPLIED | MAPPINGS | a countable family of lambda-strict pseudo-contractions | FIXED-POINTS | Algorithms | Studies | Theorems | Mathematical models | Banach spaces | Convergence | Nonlinearity | Banach space | Mathematical analysis

Journal Article

JOURNAL OF CONVEX ANALYSIS, ISSN 0944-6532, 2017, Volume 24, Issue 2, pp. 383 - 391

The purpose of this paper is to provide a characterization of locally L-0-convex modules induced by a family of L-0-seminorms using the gauge function for L-0-modules and discussing the notion of countable concatenation...

MATHEMATICS | gauge function | countable concatenation closure | L-0-modules | locally L-0-convex modules | countable concatenation

MATHEMATICS | gauge function | countable concatenation closure | L-0-modules | locally L-0-convex modules | countable concatenation

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2003, Volume 131, Issue 4, pp. 1289 - 1296

It is shown that if every \leq \omega _{1}-sized subspace of a (regular) space X of density \leq \omega _{1} has a point-countable base, then so does X....

Mathematical theorems | Topological theorems | Cardinal points | Cardinality | First countable | Topology | Induced substructures | General topology | Topological spaces | Point-countable | Reflection | MATHEMATICS | point-countable | MATHEMATICS, APPLIED | reflection

Mathematical theorems | Topological theorems | Cardinal points | Cardinality | First countable | Topology | Induced substructures | General topology | Topological spaces | Point-countable | Reflection | MATHEMATICS | point-countable | MATHEMATICS, APPLIED | reflection

Journal Article

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2008, Volume 45, Issue 5, pp. 1393 - 1404

Let K be a nonempty closed convex subset of a Banach space E. Suppose {T-n} (n = 1, 2...) is a uniformly asymptotically regular sequence of nonexpansive...

Weak and strong convergence | A countable family of nonexpansive mappings | Mann's type iteration | Uniformly asymptotically regular sequence | MATHEMATICS, APPLIED | uniformly asymptotically regular sequence | APPROXIMATION | SEQUENCES | a countable family of nonexpansive mappings | CONTRACTIONS | MATHEMATICS | COMMON FIXED-POINTS | SEMIGROUPS | BANACH-SPACES | THEOREMS | weak and strong convergence

Weak and strong convergence | A countable family of nonexpansive mappings | Mann's type iteration | Uniformly asymptotically regular sequence | MATHEMATICS, APPLIED | uniformly asymptotically regular sequence | APPROXIMATION | SEQUENCES | a countable family of nonexpansive mappings | CONTRACTIONS | MATHEMATICS | COMMON FIXED-POINTS | SEMIGROUPS | BANACH-SPACES | THEOREMS | weak and strong convergence

Journal Article

Topology and its Applications, ISSN 0166-8641, 04/2017, Volume 221, pp. 476 - 490

...]. For any property P among the ones presented, we will say that an almost disjoint family A satisfies P if it satisfies a relative version of P in the corresponding Isbell–Mrówka space...

Countable paracompactness | κ-paracompactness | Relative topological properties | Almost disjoint families | TOPOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | NORMALITY | kappa-paracompactness

Countable paracompactness | κ-paracompactness | Relative topological properties | Almost disjoint families | TOPOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | NORMALITY | kappa-paracompactness

Journal Article

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