On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces

Buthinah A. Bin Dehaish; Mohamed A. Khamsi; Wojciech M. Kozlowski

doi:10.1186/1687-1812-2015-3

On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces

Buthinah A. Bin Dehaish^*
, Mohamed A. Khamsi
, Wojciech M. Kozlowski

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.

Original language	English
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/1687-1812-2015-3
State	Published - 29 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Bin Dehaish et al.; licensee Springer.

Keywords

Orlicz space
fixed point
modular function space
nonexpansive mapping
pointwise Lipschitzian mapping
pointwise nonexpansive mapping
semigroup
uniform convexity

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2015-3

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title = "On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces",

abstract = "Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.",

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AU - Bin Dehaish, Buthinah A.

AU - Khamsi, Mohamed A.

AU - Kozlowski, Wojciech M.

PY - 2015/12/29

Y1 - 2015/12/29

N2 - Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.

AB - Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.

KW - Orlicz space

KW - fixed point

KW - modular function space

KW - nonexpansive mapping

KW - pointwise Lipschitzian mapping

KW - pointwise nonexpansive mapping

KW - semigroup

KW - uniform convexity

UR - https://www.scopus.com/pages/publications/84930201166

U2 - 10.1186/1687-1812-2015-3

DO - 10.1186/1687-1812-2015-3

M3 - Article

AN - SCOPUS:84930201166

SN - 1687-1820

VL - 2015

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

ER -

On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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