A New Hybrid Iterative Method for Solving Fixed Points Problems for a Finite Family of Multivalued Strictly Pseudo-Contractive Mappings and Convex Minimization Problems in Real Hilbert Spaces

Abstract

In this paper, we investigate the problem of finding a common solution to fixed point problem involving a finite family of multivalued strictly pseudo-contractive mappings and convex minimization problem in the framework of Hilbert spaces. Inspired by the proximal point algorithm and general iterative method, a new iterative method for solving the problem is introduced. Strong convergence theorem of the proposed method is established without any compactness assumption. Our scheme generalize and extend some of the existing results in the literature.