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Advances in metric fixed point theor...

Cho, Yeol Je.

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Advances in metric fixed point theory and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advances in metric fixed point theory and applications/ edited by Yeol Je Cho ... [et al.].
other author:	Cho, Yeol Je.
Published:	Singapore :Springer Singapore : : 2021.,
Description:	xvii, 503 p. :ill., digital ;24 cm.
[NT 15003449]:	The relevance of a metric condition on a pair of operators in common ﬁxed point theory -- Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces -- Split variational inclusion problem and ﬁxed point problem for asymptotically nonexpansive semigroup with application to optimization problem -- Convergence theorems and convergence rates for the general inertial Krasnosel'skiˇ-Mann algorithm -- Digital space type ﬁxed point theory and its applications -- Existence and Approximations for Order-Preserving Nonexpansive Semigroups over CAT(k) Spaces -- Solution of system of integral equations in product spaces via concept of measures of noncompactness -- Fixed points that are zeros of a given function -- A survey on best proximity point theory in reﬂexive and Busemann convex spaces.
Contained By:	Springer Nature eBook
Subject:	Fixed point theory. -
Online resource:	https://doi.org/10.1007/978-981-33-6647-3
ISBN:	9789813366473

Advances in metric fixed point theory and applications
Advances in metric fixed point theory and applications[electronic resource] /edited by Yeol Je Cho ... [et al.]. - Singapore :Springer Singapore :2021. - xvii, 503 p. :ill., digital ;24 cm.

The relevance of a metric condition on a pair of operators in common ﬁxed point theory -- Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces -- Split variational inclusion problem and ﬁxed point problem for asymptotically nonexpansive semigroup with application to optimization problem -- Convergence theorems and convergence rates for the general inertial Krasnosel'skiˇ-Mann algorithm -- Digital space type ﬁxed point theory and its applications -- Existence and Approximations for Order-Preserving Nonexpansive Semigroups over CAT(k) Spaces -- Solution of system of integral equations in product spaces via concept of measures of noncompactness -- Fixed points that are zeros of a given function -- A survey on best proximity point theory in reﬂexive and Busemann convex spaces.

This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(k) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators. This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.

ISBN: 9789813366473

Standard No.: 10.1007/978-981-33-6647-3doiSubjects--Topical Terms:

546826
Fixed point theory.

LC Class. No.: QA329.9 / .A383 2021

Dewey Class. No.: 515.7248

Advances in metric fixed point theory and applications
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505 0 $a The relevance of a metric condition on a pair of operators in common ﬁxed point theory -- Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces -- Split variational inclusion problem and ﬁxed point problem for asymptotically nonexpansive semigroup with application to optimization problem -- Convergence theorems and convergence rates for the general inertial Krasnosel'skiˇ-Mann algorithm -- Digital space type ﬁxed point theory and its applications -- Existence and Approximations for Order-Preserving Nonexpansive Semigroups over CAT(k) Spaces -- Solution of system of integral equations in product spaces via concept of measures of noncompactness -- Fixed points that are zeros of a given function -- A survey on best proximity point theory in reﬂexive and Busemann convex spaces.
520 $a This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(k) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators. This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.
650 0 $a Fixed point theory. $3 546826
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Topology. $3 522026
650 2 4 $a Operator Theory. $3 897311
700 1 $a Cho, Yeol Je. $3 1956934
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856 4 0 $u https://doi.org/10.1007/978-981-33-6647-3
950 $a Mathematics and Statistics (SpringerNature-11649)