[PDF] Top 20 An Iterative Algorithm for Generalized Mixed Equilibria with Variational Inequalities

... the variational inequality problems over the inter- section of the fixed-point sets of nonexpansive map- pings, in: Inherently Parallel Algorithms in Feasi- bility and Optimization and Their Applications, ... See full document

... two-step iterative algorithm for a system of non- linear variational inequalities and established strong convergence ...two-step iterative algorithm for a system of nonlinear ... See full document

... general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many ... See full document

... two-step algorithm for hierarchical fixed point problems and variational inequalities, ...Liou, Iterative algorithms for hierarchical fixed points problems and variational ... See full document

... relaxed iterative algorithm for finding a solution of the THVI ...many variational inclusions, and CMP ...This algorithm is based on Korpelevich’s extragradient method, the viscosity ... See full document

... of generalized mixed equilibrium problems and the set of solutions of a finite family of variational inequalities for inverse strongly monotone mappings in a real Hilbert ...a ... See full document

... Subsequently, Alofi et al. [8] also introduced two composite iterative algorithms based on the composite iterative methods in Ceng et al. [9] and Jung [10] for solving the problem of GSVI (1.2). Moreover, ... See full document

... an iterative algorithm for finding a common element x ∗ of the set of solutions of a mixed equilibrium problem and the set of a variational inclusion in a real Hilbert ...proposed ... See full document

... Let C be a closed convex subset of a real Hilbert space H with the inner product ·, · and the norm ·. Let F be a bifunction of C ×C into R, where R is the set of real numbers, Ψ : C → H a mapping, and ϕ : C → R a ... See full document

... of variational inequalities is to develop efficient and implementable algorithms for solving variational inequalities and its ...the generalized m-accretive mapping and give the ... See full document

... Abstract. In this paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate iterative ... See full document

... Several iterative algorithms have been devised to study existence and approximation of different classes of variational ...sequential iterative methods, when we implement such algorithms on computers, ... See full document

... Utilizing Lemma 1.1, they proposed and analyzed a relaxed extragradient method for solving problem (1.2). Throughout this article, the set of fixed points of the mapping G is denoted by Γ. Based on the extragradient ... See full document

... of generalized set-valued strongly nonlinear mixed implicit quasi-variational-like inequalities problem in Hilbert ...auxiliary variational inequalities ...of iterative ... See full document

... extragradient algorithm and multi-step composite Mann-type viscosity iterative algorithm for finding a solution of triple hierarchical variational inequalities defined over the common set ... See full document

... that variational inequality theory, as a very e ff ective and powerful tool, not only has stimulated new results dealing with partial differential equations, but also has been applied to a large variety of problems ... See full document

... in variational inequality theory is the development of efficient and implementable iterative algorithms for solving various classes of variational inequalities and variational ...of ... See full document

... Variational inequalities are being used as a mathematical programming tool in modeling a large class of problems arising in various branches of pure and applied ...years, variational ... See full document

... of variational inequalities. In re- cent years, classical variational inequality and complementarity problems have been extended and generalized to study a wide range of problems arising in ... See full document

... of generalized mixed type variational methods for solving various variational inequalities, complementarity problems and optimization ...various variational-like ...some ... See full document