Approximation of a common solution of Monotone inclusion problems and fixed point Problem of non-Liner mappings in Hilbert Spaces

Abstract

In this thesis we introduced an iterative algorithm for approximating a common so lution of monotone inclusion problem and fixed point point problem of non-linear mappings in Hilbert Spaces and proved a strong convergence of a sequence gener ated by proposed algorithm to a common solution of monotone inclusion problem of the sum of two monotone mappings and fixed point problem of pseudo pseu docontractive mapping in Hilbert spaces provided that the mappings are uniformly continuous which are sequentially weakly continuous. Finally, we applied our main results to find a minimum point of a convex function in Hilbert spaces. Our results extended and generalized many results in the literature.