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Dual Convergences of Iteration Processes for Nonexpansive Mappings in Banach Spaces |
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| Authors: | Jong Soo Jung Daya Ram Sahu |
| Institution: | (1) Department of Mathematics, Dong-A University, Busan, 604-714, Korea;(2) Department of Applied Mathematics, Sri Shankaracharya College of Engineering, Sector-6, Bhilai, -490006, India |
| Abstract: | In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process. |
| Keywords: | Banach limit dual convergence theorem duality mapping Ishikawa iteration process nonexpansive mapping |
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