Linesearch Algorithms for Split Generalized Equilibrium Problems and Two Families of Strict Pseudo-Contraction Mappings

Kiattisak Rattanaseeha, Rattanaporn Wangkeeree, Rabian Wangkeeree

Abstract

In this paper, we study  linesearch algorithms finding a common solution of a split generalized equilibrium problems and two families of strict pseudo-contraction mappings in Hilbert spaces.  Weak and  strong convergence theorems for such algorithms are studied.  Our results improve many known recent results in the literature.