THE EXISTENCE OF A SOLUTION OF THE NONLINEAR INTEGRAL EQUATION VIA THE FIXED POINT APPROACH

In this paper, we present some fixed point results for a generalized class of nonexpansive mappings in the framework uniformly convex hyperbolic space and also propose new iterative scheme approximating spaces. Furthermore, establish basic properties strong $\triangle$-convergence theorems these Finally, an application to nonlinear integral equation also, numerical example illustrate our main result then display efficiency proposed algorithm compared different algorithms literature with choices parameters initial guesses. The obtained paper extends generalizes corresponding Banach spaces, CAT(0) spaces other related literature.