Open Access

Iterative Algorithms with Variable Coefficients for Multivalued Generalized -Hemicontractive Mappings without Generalized Lipschitz Assumption

Fixed Point Theory and Applications20112011:982352

https://doi.org/10.1155/2010/982352

Received: 24 November 2010

Accepted: 17 August 2011

Published: 8 November 2011

Abstract

We introduce and study some new Ishikawa-type iterative algorithms with variable coefficients for multivalued generalized -hemicontractive mappings. Several new fixed-point theorems for multivalued generalized -hemicontractive mappings without generalized Lipschitz assumption are established in -uniformly smooth real Banach spaces. A result for multivalued generalized -hemicontractive mappings with bounded range is obtained in uniformly smooth real Banach spaces. As applications, several theorems for multivalued generalized -hemiaccretive mapping equations are given.

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Authors’ Affiliations

(1)
Department of Mathematics and Physics, Anhui University of Architecture, Hefei, China

Copyright

© Copyright © 2011 Ci-Shui Ge. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.