Paper Title :Convergence Theorem for Multi-Valued Non-expansive Mapping in Uniformly Convex Banach Space

Author :Samir Dashputre, Shailesh Dhar Diwan, Apurva Kumar Das

Article Citation :Samir Dashputre ,Shailesh Dhar Diwan ,Apurva Kumar Das , (2017 ) " Convergence Theorem for Multi-Valued Non-expansive Mapping in Uniformly Convex Banach Space " , International Journal of Advances in Science, Engineering and Technology(IJASEAT) , pp. 7-12, Volume-5, Issue-4, Spl. Iss-1

Abstract : Let K be a nonempty closed convex subset of a uniformly convex Banach space and T : K ! P (K) is a multivalued nonexpansive mapping. In this paper, we prove that the convergence theorem of Ishikawa iterates for a mapping T de ned on noncompact domain. Our result, generalizes former results proved by Panyanak [11] and Sastry and Babu [14].2010 Mathematics Subject Classi cation: 47H09, 47H10. Key words and phrases - Multi-valued mappings, Fixed points, Mann iterates, Ishikawa iterates, Uniformly convex Banach spaces.

Type : Research paper

Published : Volume-5, Issue-4, Spl. Iss-1

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