BROWDER'S TYPE STRONG CONVERGENCE THEOREM FOR S-NONEXPANSIVE MAPPINGS

Abstract

We prove a common fixed point theorem for S-contraction mappings without continuity. Using this result we obtain an approximating curve for S-nonexpansive mappings in a Banach space and prove Browder's type strong convergence theorem for this approximating curve. The demiclosedness principle for S-nonexpansive mappings is also established.

Keywords

demicontinuity;R-weakly commutativity;S-contraction mapping;S-nonexpansive mapping

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References

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1. Some Existence and Convergence Theorems for Nonexpansive Type Mappings vol.2013, 2013, https://doi.org/10.1155/2013/539723