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The structure of fixed-point sets of lipschitzian type semigroups

Sahu, DR
; 
Agarwal, RP
; 
O’Regan, Donal
Identifiers
http://hdl.handle.net/10379/13761
 https://doi.org/10.13025/28872
Publication Date
2012-01-01
Keywords
asymptotic center, normal structure coefficient, pseudo-contractive semigroup, sunny nonexpansive retraction, uniformly convex banach space, uniformly lipschitzian semigroup, variational inequality, asymptotically nonexpansive-mappings, strong-convergence theorems, uniformly normal structure, banach-spaces, variational-inequalities, nonlinear mappings, approximation, contractions
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Article
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Citation
Sahu, DR; Agarwal, RP; O’Regan, Donal (2012). The structure of fixed-point sets of lipschitzian type semigroups. Fixed Point Theory and Applications ,
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.
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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)