ITERATIVE ALGORITHM FOR MULTIVALUED GENERALIZED (α, β)-NONEXPANSIVE MAPPINGS IN AN ORDERED CAT(0) SPACE WITH APPLICATION

Abstract

This paper examines the SR iterative algorithm, which approximates fixed points of monotone multivalued generalized (α, β)-nonexpansive mappings in the setting of an ordered CAT(0) space. We establish convergence results for the SR iterative algorithm applied to monotone generalized (α, β)-nonexpansive mappings. Additionally, we demonstrate the application of these results to fractional differential equations and equivalent nonlinear integral equations.