Generalized vector variational inequality
Generalized Vector Complementarity Problems with Moving Cones
... a generalized vector complementarity problem, a generalized vector variational inequality problem, a generalized vector optimization problem, a generalized ...
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Globally proper efficiency of set valued optimization and vector variational inequality involving the generalized contingent epiderivative
... the generalized contingent epideriva- tive of set-valued maps which improves and generalizes the corresponding results in [5, ...of generalized vector variational inequality problem ...
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System of Generalized Implicit Vector Quasivariational Inequalities
... the generalized implicit vector quasivariational inequality (in short, GIVQVI) which is to find x in X such that x ∈ S ( x ): ∀ y ∈ S x , ∃ v ∈ T x : f v,x, y ∈ − int C x ...the generalized ...
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Variational inequality problems in H spaces
... Variational inequality theory has become a rich source of inspiration in pure and applied ...classical variational inequality problem has been extended to study a wide class of problems ...
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Coderivatives of gap function for Minty vector variational inequality
... The generalized derivatives mentioned above for set-valued maps are generated by tan- gent cones to their graphs in primal spaces. Another derivative-like construction for set- valued maps has been introduced by ...
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On generalized vector quasivariational-like inequality problems
... alized vector quasi-variational-like inequality problem and the generalized vector quasi- variational inequality problem whereas we have used KKM-Fan theorem and fixed ...
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Generalized nonlinear vector mixed quasi variational like inequality governed by a multi valued map
... Variational inequality theory has appeared as an effective and powerful tool to study and investigate a wide class of problems arising in pure and applied sciences including elas- ticity, optimization, ...
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Gap functions and error bounds for random generalized variational inequality problems
... random generalized variational inequality problems has been introduced by using the fuzzy residual ...a generalized regularized gap function we calculated global error bounds, ...random ...
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Existence results for generalized mixed vector variational-like inequality problems with exponential type invexities
... study vector variational-like inequality problem in Banach ...The generalized variational-like inequalities with generalized α -monotone multifunctions stud- ied by Ceng et ...
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Well posedness for generalized \((\eta ,g,\varphi )\) mixed vector variational type inequality and optimization problems
... Let T : X → 2 L(X,Y) be a set-valued mapping where L(X, Y) denotes the space of all continuous linear mappings from X into Y. Assume that Q : L(X , Y) × D → L(X , Y ), ϕ : D × D → Y , η : X × X → X are bi-mappings and g ...
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On the existence theorems of solutions for generalized vector variational inequalities
... The variational inequality theory, which is mainly due to Stampacchia [], provides very powerful techniques for studying problems arising in mechanics, optimization, trans- portation, economics, contact ...
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Generalized vector quasi variational like inequalities
... called generalized vector quasi-variational-like inequality and studied with certain monotonicity by Ding [13], and problem ...the generalized vector variational-like ...
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Existence of Solutions for Generalized Vector Variational Like Inequalities
... Vector variational inequality was first introduced and studied by Giannessi 1 in the setting of finite-dimensional Euclidean ...for vector variational inequalities, vector ...
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Generalized proximal-type methods for weak vector variational inequality problems in Banach spaces
... An important motivation for making an analysis of the convergence properties of both proximal point algorithms and Bregman function algorithms is related to the mesh in- dependence principle [–]. The mesh ...
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Stability analysis for parametric generalized vector quasi variational like inequality problems
... weak vector quasi-variational inequality in Hausdorff topological vector ...weak vector variational inequalities in reflexive Banach ...quasi-variational inequality ...
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ψ-pseudomonotone generalized strong vector variational inequalities with application
... If ” ≤ C ” is a partial order, then (Y, ≤ C ) is called a Banach space ordered by C. Let L(X, Y ) denote the space of all continuous linear maps from X into Y . Let T : K → L(X, Y ) be a nonlinear mapping and let ψ : K × ...
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7. Existence of solutions of mixed vector variational-like inequalities
... of variational inequalities. Variational inequali- ties have been generalized and extended in several directions using new ...of variational inequality theory, vector varia- ...
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A general vector valued variational inequality and its fuzzy extension
... On the other hand, Chang and Zhu [8] introduced the concept of variational inequalities for fuzzy mappings in locally convex Hausdorff topological vector spaces and investigated existenc[r] ...
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Applications of order-clustered fixed point theorems to generalized saddle point problems and preordered variational inequalities
... To generalize the fixed point theorems from posets to preordered sets, Xie et al. in [] introduced the concepts of order cluster and order-clustered fixed point for order-cluster preserving mappings. They also provided ...
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Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping
... The variational inequality (2.2) was introduced by Stampacchia [23] in 1964. The problem (2.2) has emerged as a fascinating and interesting branch of mathematical and engineering sciences with a wide range ...
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