Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 982352, 13 pages
doi:10.1155/2010/982352
Research Article

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

Ci-Shui Ge

Department of Mathematics and Physics, Anhui University of Architecture, Hefei, Anhui 230022, China

Received 17 August 2010; Accepted 8 November 2010

Academic Editor: Tomonari Suzuki

Copyright © 2010 Ci-Shui Ge. 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.

Abstract

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