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In this paper, we introduce and study a relaxed extragradient method for finding solutions of a general system of variational inequalities with inverse-strongly monotone mappings in a real Hilbert space. First, this system of variational inequalities is proven to be equivalent to a fixed point...
Persistent link: https://www.econbiz.de/10010950213
In this paper we introduce an iterative algorithm for finding a common element of the fixed point set of an asymptotically strict pseudocontractive mapping S in the intermediate sense and the solution set of the minimization problem (MP) for a convex and continuously Frechet differentiable...
Persistent link: https://www.econbiz.de/10011151239
In this paper, utilizing the properties of the generalized f -projection operator and the well-known KKM and Kakutani–Fan–Glicksberg theorems, under quite mide assumptions, we derive some new existence theorems for the generalized set-valued mixed variational inequality and the generalized...
Persistent link: https://www.econbiz.de/10010994169
In this paper, we introduce and study a relaxed extragradient method for finding solutions of a general system of variational inequalities with inverse-strongly monotone mappings in a real Hilbert space. First, this system of variational inequalities is proven to be equivalent to a fixed point...
Persistent link: https://www.econbiz.de/10010759418
Persistent link: https://www.econbiz.de/10010845831
Persistent link: https://www.econbiz.de/10008515423
Persistent link: https://www.econbiz.de/10008515429
In this paper, we consider the implicit quasi-variational inequality without continuity assumptions of data mappings. Our approach here is completely different from the one based on KKM theorem in the literature. Interesting applications to generalized quasi-variational inequalities for both...
Persistent link: https://www.econbiz.de/10010759567
Persistent link: https://www.econbiz.de/10010845844
In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric vector optimization problem. These formulae are presented in a broad class of conventional vector optimization problems with the presence of...
Persistent link: https://www.econbiz.de/10010845853