Jen-Chih Yao

TL;DR: In this paper, a hybrid iterative scheme for finding a common element of the set of solutions of a mixed equilibrium problem and common fixed points of finitely many nonexpansive mappings in a real Hilbert space is proposed.

TL;DR: It is proved that under quite mild conditions the iterative sequence defined by the relaxed extragradient method converges strongly to a solution of this system of variational inequalities.

TL;DR: In this paper, an iterative process for finding a common element of the set of fixed points of a nonexpansive mapping and the solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping is introduced.

TL;DR: In this paper, some known existence results for a nonlinear complementarity problem in a finite-dimensional Hilbert space are generalized to an infinite-dimensional real Hilbert space and applications to a class of nonlinear complearity problems and the study of the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions are given.

TL;DR: A new iterative scheme for finding the common element of the set of fixed points of a nonexpansive mapping and theSet of solutions of the variational inequality for α-inverse-strongly monotone mappings is introduced.