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Fixed point theorem for -nonexpansive mappings in Banach spaces

Authors :
Koji Aoyama
Fumiaki Kohsaka
Source :
Nonlinear Analysis: Theory, Methods & Applications. 74:4387-4391
Publication Year :
2011
Publisher :
Elsevier BV, 2011.

Abstract

We introduce the class of α -nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for α -nonexpansive mappings in uniformly convex Banach spaces.

Subjects

Subjects :
Discrete mathematics
Mathematics::Functional Analysis
Pure mathematics
Applied Mathematics
Eberlein–Šmulian theorem
Mathematics::Optimization and Control
Banach space
Uniformly convex space
Banach manifold
Mathematics::Logic
Fréchet space
Interpolation space
Open mapping theorem (functional analysis)
Lp space
Analysis
Mathematics

Details

ISSN :
0362546X
Volume :
74
Database :
OpenAIRE
Journal :
Nonlinear Analysis: Theory, Methods & Applications
Accession number :
edsair.doi...........c9cbc6d1cbb0ad3ce38fffad07667e21

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