Hybrid method for generalized mixed equilibrium and fixed point problems involving multivalued nonlinear mappings

Abstract

We introduce and study in this article, a new hybrid projection algorithm for approximating a common element of the set of fixed points of finite family of multivalued ki− strictly pseudocontractive mapping and the set of solution of generalized mixed equilibrium problem in real Hilbert space. Under mild conditions, strong convergence of the sequence was proved. The result obtained improves and extends the important result of Bunyawat and Suantai [Fixed point theory and Applications 2013, 2013:236] and many other recent results.