EXISTENCE AND CONVERGENCE OF FIXED POINT FOR A G-NON-LIPSCHITZIAN MAPPING

摘要

The existence of fixed point in uniformly convex hyperbolic metric space endowed with graph of G-nearly asymptotically nonexpansive mapping has been obtained. Further, we prove strong and Delta-convergence of M-iteration to fixed point of G-nearly asymptotically non-expansive mapping. We also derived some corollaries of our results in uniformly convex Banach space which are also independent new findings.