Convergence theorem of κ-strictly pseudo-contractive mapping and a modifıcation of generalized equilibrium problems
Atid Kangtunyakarn · Fixed Point Theory and Applications · 2012
The purpose of this article, we first introduce strong convergence theorem of -strictly pseudo-contractive mapping without assumption of the mapping S = I + (1 -)T.Then, we prove strong convergence of proposed iterative scheme for finding a common element of the set of fixed points of -strictly pseudo-contractive mapping and the set of solution of a modification of generalized equilibrium problem.Moreover, by using our main result and a new lemma in the last section we obtain strong convergence theorem for finding a common element of the set of fixed points of -strictly pseudo-contractive mapping and two sets of solutions of variational inequalities.