The structure of fixed-point sets of Lipschitzian type semigroups

D. R. Sahu; R. P. Agarwal; Donal O'Regan

doi:10.1186/1687-1812-2012-163

The structure of fixed-point sets of Lipschitzian type semigroups

D. R. Sahu
, R. P. Agarwal
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

The purpose of this paper is to establish some results on the structure of fixed point sets for one-parameter semigroups of nonlinear mappings which are not necessarily Lipschitzian in Banach spaces. Our results improve several known existence and convergence fixed point theorems for semigroups which are not necessarily Lipschitzian.

Original language	English
Article number	163
Journal	Fixed Point Theory and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1687-1812-2012-163
Publication status	Published - Sep 2012

Keywords

Asymptotic center
Normal structure coefficient
Pseudo-contractive semigroup
Sunny nonexpansive retraction
Uniformly Lipschitzian semigroup
Uniformly convex banach space
Variational inequality

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10.1186/1687-1812-2012-163

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abstract = "The purpose of this paper is to establish some results on the structure of fixed point sets for one-parameter semigroups of nonlinear mappings which are not necessarily Lipschitzian in Banach spaces. Our results improve several known existence and convergence fixed point theorems for semigroups which are not necessarily Lipschitzian.",

keywords = "Asymptotic center, Normal structure coefficient, Pseudo-contractive semigroup, Sunny nonexpansive retraction, Uniformly Lipschitzian semigroup, Uniformly convex banach space, Variational inequality",

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AU - Agarwal, R. P.

AU - O'Regan, Donal

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N2 - The purpose of this paper is to establish some results on the structure of fixed point sets for one-parameter semigroups of nonlinear mappings which are not necessarily Lipschitzian in Banach spaces. Our results improve several known existence and convergence fixed point theorems for semigroups which are not necessarily Lipschitzian.

AB - The purpose of this paper is to establish some results on the structure of fixed point sets for one-parameter semigroups of nonlinear mappings which are not necessarily Lipschitzian in Banach spaces. Our results improve several known existence and convergence fixed point theorems for semigroups which are not necessarily Lipschitzian.

KW - Asymptotic center

KW - Normal structure coefficient

KW - Pseudo-contractive semigroup

KW - Sunny nonexpansive retraction

KW - Uniformly Lipschitzian semigroup

KW - Uniformly convex banach space

KW - Variational inequality

UR - https://www.scopus.com/pages/publications/84902517332

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DO - 10.1186/1687-1812-2012-163

M3 - Article

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VL - 2012

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

M1 - 163

ER -

The structure of fixed-point sets of Lipschitzian type semigroups

Abstract

Keywords

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