Weak convergence theorems for two nearly asymptotically nonexpansive

GURUCHARAN SINGH SALUJA · Functional Analysis, Approximation and Computation · 2015

In this paper, we establish some weak convergence results of modified $S$-iteration process to converge to common fixed points involving two nearly asymptotically nonexpansive non-self mappings in the framework of uniformly convex Banach spaces under the following conditions (i) the Banach space $E$ satisfying Opial condition and (ii) the dual $E^{*}$ of $E$ has the Kadec-Klee property. Our results extend and improve many known results from the existing literature.

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