Generalized variational inequalities involving multivalued relaxed monotone operators

Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

Generalized Projection Method for Non-lipschitz Multivalued Monotone Variational Inequalities

We generalize the projection method for solving strongly monotone multivalued variational inequalities when the cost operator is not necessarily Lipschitz. At each iteration at most one projection onto the constrained set is needed. When the convex constrained set is not polyhedral, we embed the proposed method in a polyhedral outer approximation procedure. This allows us to obtain the projecti...

Generalized Nonlinear Multivalued Mixed Quasi-variational-like Inequalities

In this paper, we introduce a new class of generalized nonlinear multivalued mixed quasi-variational-like inequalities and prove the existence and uniqueness of solutions for the class of generalized nonlinear multivalued mixed quasi-variational-like inequalities in reflexive Banach spaces using Fan-KKM Theorem.

A SYSTEM OF GENERALIZED VARIATIONAL INCLUSIONS INVOLVING G-eta-MONOTONE MAPPINGS

We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

A Hybrid Method for Monotone Variational Inequalities Involving Pseudocontractions

We use strongly pseudocontraction to regularize the following ill-posed monotone variational inequality: finding a point x∗ with the property x∗ ∈ Fix T such that 〈 I − S x∗, x − x∗〉 ≥ 0, x ∈ Fix T where S, T are two pseudocontractive self-mappings of a closed convex subset C of a Hilbert space with the set of fixed points Fix T / ∅. Assume the solution setΩ of VI is nonempty. In this paper, we...