DOIONLINE 
DOIONLINE Publish In |
International Journal of Advances in Science, Engineering and Technology(IJASEAT)-IJASEAT |
 Journal Home Volume Issue |
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Issue |
Volume-5, Issue-4, Spl. Iss-1 ( Nov, 2017 ) | |||||||||
Paper Title |
Convergence Theorem for Multi-Valued Non-expansive Mapping in Uniformly Convex Banach Space | |||||||||
Author Name |
Samir Dashputre, Shailesh Dhar Diwan, Apurva Kumar Das | |||||||||
Affilition |
Department of Mathematics, Govt. College Arjunda, Balod (C.G), India Department of Applied Mathematics, Govt. Engineering College, Raipur (C.G.), India Department of Applied Mathematics, Govt. Polytechnic, Sukma (C.G.), India | |||||||||
Pages |
7-12 | |||||||||
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. | |||||||||
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