Iterative construction for common fixed point problems in geodesic spaces

Abstract

This thesis is a continuation of analysis of iteration involving a class of to tal asymptotically strict pseudo contraction in the general set up of CAT(0) space. We also establish strong and 4-convergence for some iterative algo rithms which are subsequently helpful for the approximation of fixed point of various nonlinear mappings. It is instructive the proposed iterative schemes and the consequent convergence results with that of several results in CAT(0) space and uniformly convex Banach space.