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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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advances in metric fixed point theory and applications/ edited by Yeol Je Cho ... [et al.].
其他作者:	Cho, Yeol Je.
出版者:	Singapore :Springer Singapore : : 2021.,
面頁冊數:	xvii, 503 p. :ill., digital ;24 cm.
內容註:	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
標題:	Fixed point theory. -
電子資源:	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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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.
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