A Reich-type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces

Safeer H Khan; Tomonari Suzuki

doi:10.1016/j.na.2012.09.005

A Reich-type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces

Safeer H Khan
, Tomonari Suzuki

Mathematics and Statistics

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

7 Scopus citations

Abstract

We prove a weak convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces whose dual has the Kadec-Klee property. This theorem is connected with a famous convergence theorem for nonexpansive mappings proved by Reich in 1979.

Original language	English
Pages (from-to)	211-215
Number of pages	5
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	80
DOIs	https://doi.org/10.1016/j.na.2012.09.005
State	Published - Jan 1 2013

Keywords

Fixed point
Generalized nonexpansive mapping
Kadec-Klee property

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10.1016/j.na.2012.09.005

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title = "A Reich-type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces",

abstract = "We prove a weak convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces whose dual has the Kadec-Klee property. This theorem is connected with a famous convergence theorem for nonexpansive mappings proved by Reich in 1979.",

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AB - We prove a weak convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces whose dual has the Kadec-Klee property. This theorem is connected with a famous convergence theorem for nonexpansive mappings proved by Reich in 1979.

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ER -

A Reich-type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces

Abstract

Keywords

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