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In this work we study the Newton-like methods for finding efficient solutions of the vector optimization problem for a map from a finite dimensional Hilbert space X to a Banach space Y, with respect to the partial order induced by a closed, convex and pointed cone C with a nonempty interior. We...
Persistent link: https://www.econbiz.de/10010998354
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
We consider a useful modification of the inexact implicit method with a variable parameter in Wang et al. J Optim Theory 111: 431–443 (2001) for generalized mixed monotone variational inequalities. One of the contributions of the proposed method in this paper is that the restrictions imposed...
Persistent link: https://www.econbiz.de/10010950003
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 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/10010950353
Persistent link: https://www.econbiz.de/10006605996
Persistent link: https://www.econbiz.de/10006420686
Persistent link: https://www.econbiz.de/10006421087
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