Split Variational Inclusion and Fixed Point Problem for Asymptotically Nonexpansive Semigroup in Hilbert Spaces

Issara Inchan

Abstract

The main objective of this paper is to introduced the iterative method for the split variational inclusion and asymptotically nonexpansive semigroups in Hilbert space. We study the iterative scheme and prove the  strong convergence to a common solution of the split variational inclusion and the set of common fixed points of one-parameter asymptotically nonexpansive semigroups. The results presented in this paper  improved the result of Wen and Chen [D.J. Wen, Y.A. Chen, Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces, Journal of Inequalities and Applications (2015)], and many authors.