Fast hybrid iterative schemes for solving variational inclusion problems

Iterative Schemes to Solve Nonconvex Variational Problems

In this paper, we present several algorithms of the projection type to solve a class of nonconvex variational problems.

The hybrid block iterative algorithm for solving the system of equilibrium problems and variational inequality problems

ABSTRACT In this paper, we construct the hybrid block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi - ϕ- asymptotically nonexpansive mappings, the set of the solutions of the variational inequality for an α-inverse-strongly monotone operator, and the set of solutions of a system of equilibrium problems. Mor...

Some Iterative Schemes for Solving Extended General Quasi Variational Inequalities

In this paper, we consider a new class of quasi variational inequalities involving three operators, which is called the extended general quasi variational inequality. It is shown that the extended general quasi variational inequalities are equivalent to the fixed problems. This equivalence is used to suggest and analyze some iterative methods for solving the extended general quasi variational i...

Iterative Schemes for Solving Mixed Variational-Like Inequalities

In the present paper, we introduce the concept of η-cocoercivity of a map and develop some iterative schemes for finding the approximate solutions of mixed variational-like inequalities. We use the concept of η-cocoercivity to prove the convergence of the approximate solutions to the exact solution of mixed variational-like inequalities.

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points