Convergence Theorems for Pseudomonotone Equilibrium Problem, Split Feasibility Problem, and Multivalued Strictly Pseudocontractive Mappings

摘要

Let K be a nonempty closed convex subset of a real Hilbert space H-1. Let be N multivalued strictly pseudocontractive mappings. In this paper, we introduce a new hybrid subgradient method for finding a common point in the set of common fixed points of a finite family of multivalued strictly pseudocontractions, the solution set of class of pseumonotone equilibrium problem and solution set of split feasibility problem. Weak and strong convergence of the iterative sequence are established. Our result is generalization and improvement of several recent results.