SOME CONVERGENCE RESULTS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACE ENDOWED WITH GRAPH

摘要

In this paper, we have establish some fixed point results for G— nonexpansive type mappings in Hilbert space endowed with directed graph. Also we prove strong convergence of the Mann iteration process and normal S— iteration process to a fixed point of G— nonexpansive mapping in Hilbert space endowed with directed graph. We also give some numerical examples in support of our result.