[PDF] Top 20 A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces

... a general iterative approximation method for finding common elements of the set of solutions to a general system of variational inclusions ...such iterative scheme for ... See full document

... of variational inequalities is to develop efficient and implementable algorithms for solving variational inequalities and its ...in Banach spaces which provides a unified framework for ... See full document

... Introduction. Variational inequality theory provides us with a unified framework for dealing with a wide class of problems arising in elasticity, structural analysis, eco- nomics, physical and engineering sciences, ... See full document

... explicit iterative algorithms by hybrid viscosity approximation methods for finding a common element of the set of solutions of GSVI ...convex Banach space which has a uniformly Gâteaux differentiable ... See full document

... auxiliary variational inequality technique to sug- gest an iterative algorithm for finding the approximate solutions of MVLIP and proved that these approximate solutions converge to the exact solution of ... See full document

... implicit iterative algorithm by the two-step relaxed extragradient method in a uniformly convex and -uniformly smooth Banach space X, and then another explicit iterative algorithm in a uniformly ... See full document

... smooth Banach space. In this paper, we propose an implicit iterative method and an explicit iterative method for solving a general system of variational inequalities (in ... See full document

... new general system of variational inequalities ...the iterative scheme 1.18 converges strongly to a solution of a new general system of variational inequalities ...a ... See full document

... the variational inclusion ...various iterative methods for solving variational in- clusions and related optimization ...new iterative methods for solving variational in- ... See full document

... of variational inequality problems, were introduced and ...scalar variational inequalities and Pang showed that the traffic equilibrium problem, the spatial equilibrium problem, the Nash equilibrium, and the ... See full document

... new system of generalized variational inclusions in the Banach space is ...for solving this kind of variational inclusion are ... See full document

... reflexive Banach spaces, we introduce and study a class of generalized set-valued variational-like inclusions in Banach spaces and show their equivalences with a class of ... See full document

... where T is a nonexpansive mapping of K into itself and f is a contraction on K. They obtained a strong convergence theorem under some mild restrictions on the parameters. Zhou [] and Qin et al. [] modified normal ... See full document

... A). Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, moving, equilibrium ...the variational ... See full document

... a general system of variational inequalities, where A, B : C → H are two nonlinear mappings, λ >  and μ >  are two ...of variational inequality problem ... See full document

... In recent years, much attention has been given to developing efficient and imple- mentable numerical methods including projection method and its variant forms, lin- ear approximation, auxiliary principle method, and ... See full document

... new system of general variational inclusions and the fixed point ...some iterative methods for solving this system of extended general variational ...these ... See full document

... of general fuzzy multivalued vari- ational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalued variational inclusions in ... See full document

... study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent ...that variational-like inclusions in real Banach spaces ... See full document

... a general system of variational inclusions with inverse-strongly accretive mappings and common set of fixed points for a λ-strict ...no Banach space is q-uniformly smooth for q > 2 ... See full document