MODIFIED EXTRAGRADIENT METHODS FOR STRICT PSEUDO-CONTRACTIONS AND MONOTONE MAPPINGS

Modified Noor iterations for infinite family of strict pseudo-contraction mappings

Strong Convergence Theorem by the Hybrid and Extragradient Methods for Monotone Mappings and Countable Families of Nonexpansive Mappings

In this paper we introduce an iterative process for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for a monotone, Lipschitz continuous mapping. The iterative process is based on two known methods hybrid and extragradient. We obtain a strong convergence theorem for three seq...

A Hybrid-Extragradient Scheme for System of Equilibrium Problems, Nonexpansive Mappings, and Monotone Mappings

We introduce a new iterative scheme based on both hybrid method and extragradient method for finding a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpansive mapping, and the solutions set of a variational inequality problems for a monotone and k-Lipschitz continuous mapping in a Hilbert space. Some convergence results for the iterative s...

modified noor iterations for infinite family of strict pseudo-contraction mappings

A modified subgradient extragradient method for solving monotone variational inequalities

In the setting of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex function. Our iterative process is relaxed and self-adaptive, that is, in each iteration, calculating two metric projections onto some half-spaces containing the domain is involved only and the step siz...