Common Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems

By Jian-Wen Peng, Yan Wang, David S. Shyu, Jen-Chih Yao. 2008

55 citations recorded by the source corpus.

We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping. We obtain a strong convergence theorem for the sequences generated by these processes in Hilbert spaces. The results in this paper unify, extend, and improve some well-known results in the literature.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ec6235a85ac100b74325603fc0020694bf513458

Citations in the corpus

• An iterative method for solving split monotone variational inclusion and fixed point problems (2015, unknown): “For further studies on inclusion problem, see, for example, [25] and some of the references contained therein.”