Some fixed point results for nonexpansive and G-nonexpansive mappings in Hilbert spaces
Resumen
This paper is concerned with the convergence of a three-step Picard iteration scheme introduced by Javid et al., for nonexpansive and G− nonexpansive mappings in Hilbert spaces endowed with binary relation under some assumptions. After that same results are obtained by replacing binary relation with directed graph. Main results are justified with some numerical examples. Here, an application of fixed point theory is discussed to obtain solution of system of equations and fastness of a three-step Picard iteration scheme with other known iteration schemes.
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