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

作者：Ge Ci Shui^*

来源：Fixed Point Theory and Applications, 2010, 982352.

DOI：10.1155/2010/982352

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

• 单位
  安徽建筑大学