Approximation for a Common Fixed Point for Family of Multivalued Nonself Mappings

Mollalgn Haile Takele^{1, 2,} and B. Krishna Reddy²

¹Department of Mathematics, College of Science, Bahir Dar University, Ethiopia

²Department of Mathematics, University College of Science, Osmania University, India

Cite this paper:
Mollalgn Haile Takele and B. Krishna Reddy. Approximation for a Common Fixed Point for Family of Multivalued Nonself Mappings. American Journal of Applied Mathematics and Statistics. 2017; 5(6):175-190. doi: 10.12691/ajams-5-6-1

Abstract

In this paper, we introduce Mann type iterative method for finite and infinite family of multivalued nonself and non expansive mappings in real uniformly convex Banach spaces. We extend the result to the class of quasi non expansive mappings in real Uniformity convex Banach spaces. We also extend for approximating a common fixed point for the class of multivalued, strictly pseudo contractive and generalized strictly pseudo contractive nonself mappings in real Hilbert spaces. We prove both weak and strong convergence results of the iterative method.

Keywords:
fixed point nonself mapping nonexpansive mapping strictly pseudo contractive generalized strictly pseudo contractive mappings multivalued mapping Mann type iterative method uniformly convex Banach space

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