The Fixed Point Theory for Some Generalized Nonexpansive Mappings-Reference-Cited by-同舟云学术

The Fixed Point Theory for Some Generalized Nonexpansive Mappings

Published:2011 Issue: Volume:2011 Page:1-15
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Llorens Fuster Enrique¹,Moreno Gálvez Elena²

Affiliation:

1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universitat de Valencia, 46100 Burjassot, Valéncia, Spain

2. Departamento de Matemáticas, Ciencias Naturales y Ciencias Sociales Aplicadas a la Educación, Universidad Católica de Valencia San Vicente Mártir, 46100 Godella, Valéncia, Spain

Abstract

We study some aspects of the fixed point theory for a class of generalized nonexpansive mappings, which among others contain the class of generalized nonexpansive mappings recently defined by Suzuki in 2008.

Funder

Oficina de Transferencia de Resultados de Investigación of the Universidad Católica de Valencia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/435686.pdf

Reference16 articles.

1. Weak Convergence to a Fixed Point of the Sequence of Mann Type Iterates

2. Some theorems on fixed points in Lipschitz-and Kannan-type mappings

3. A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi

4. Fixed point theorems and convergence theorems for some generalized nonexpansive mappings

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