# CONVERGENCE THEOREMS FOR APPROXIMATION OF FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES

@inproceedings{Shehu2012CONVERGENCETF, title={CONVERGENCE THEOREMS FOR APPROXIMATION OF FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES}, author={Yekini Shehu and Jeremiah Nkwegu Ezeora}, year={2012} }

Let E be a uniformly smooth and uniformly convex real Banach space and let K be a nonempty, closed and convex sunny nonexpansive retract of E with QK as the sunny nonexpansive retraction. Let T : K → K be a nonexpansive mapping such that F (T ) 6= ∅. Assume that either E admits weakly sequentially continuous duality mapping j or T is demicompact. Then, we introduce two approximation schemes (implicit and explicit) for finding a fixed point of a nonexpansive mapping and prove strong convergence…

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