Existence and convergence theorems for monotone generalized alpa-nonexpansive mappings in uniformly convex partially ordered hyperbolic metric spaces and its application

06/26/2020

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by   Chang Il Rim, et al.

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In this paper, we generalize the existence result in [14] and prove convergence theorems of the iterative scheme in [12, 16] for monotone generalized alpa-nonexpansive mappings in uniformly convex partially ordered hyperbolic metric spaces. And we also give a numerical example to show that this scheme converges faster than the scheme in [14] and apply the result to the integral equation.