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Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings

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  • Yekini Shehu

Abstract

We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of generalized -projection operator. Using this result, we discuss strong convergence theorem concerning general -monotone mappings. Our results extend many known recent results in the literature.

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  • Yekini Shehu, 2011. "Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-19, April.
    • Handle: RePEc:hin:jnlaaa:251612
    DOI: 10.1155/2011/251612
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