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In this paper, we generalize the existence result in [14] and proveconvergence theorems of the iterative scheme in [12, 16] for monotonegeneralized alpa-nonexpansive mappings in uniformly convex partially orderedhyperbolic metric spaces. And we also give a numerical example to show thatthis scheme converges faster than the scheme in [14] and apply the result tothe integral equation.

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