[PDF] Top 20 Generalized vector quasi equilibrium problems with set valued mappings

... topological vector spaces, let X ⊆ E and Y ⊆ F be nonempty, closed, and convex ...be set-valued mappings, and let C : X → 2 Z be a set-valued mapping such that C ( x ) is a ... See full document

... two set-valued ...two set-valued mappings such that for each x ∈ X, C(x) is a closed convex cone with int C(x) = ∅, here int C(x) denotes the interior of ...following generalized ... See full document

... By () and (), we have that ((ψ, S), x) ¯ ∈ Graph(F). Hence, Graph(F) is closed. F(u) is also closed, for all u ∈ H. By the compactness of K, we know that F is a set-valued mapping with compact values. ... See full document

... of generalized strong vector quasi-equilibrium problems (in short, ...topological vector spaces, A ⊂ X and B ⊂ Y be nonempty compact convex sub- sets and C ⊂ Z be a nonempty ... See full document

... On the other hand, convexity plays an important role in the study of vector equilib- rium problems. In 2001, Yang et al. [12] introduced a new convexity, named near cone- subconvexlikeness, and proved that ... See full document

... studied vector variational inequality ( VVI ) in finite-dimensional Euclidean ...to vector optimization prob- ...the generalized VVI and obtained some existence re- ...for vector-valued ... See full document

... investigate generalized strong vector quasi-equilibrium prob- lems with variable ordering structure, which has already been studied in the previous lit- ...for equilibrium ... See full document

... F is called lower semi-continuous (l.s.c. for short) at x. If F is l.s.c. at every point of X, F is called l.s.c. In addition, F is called continuous if F is both l.s.c. and u.s.c. If the set Graph(F), i.e., ... See full document

... involving set-valued objective ...with set-valued objective ...eralized vector quasi-equilibrium problems (in short, GVQEPs), is introduced in this sec- ... See full document

... for vector equilibrium ...for vector-valued ...a generalized equilibrium ...On vector implicit variational inequalities and complementarity ... See full document

... Motivated by the work reported in [–], in this paper we aim to establish efficient conditions for the lower semicontinuity of an approximate solution mapping for a para- metric generalized vector ... See full document

... The vector equilibrium problem, which contains vector optimization problems, vector variational inequality problems and vector complementarity problems as special ... See full document

... In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities. We also study their relationship to Debreu type vector equilibrium ... See full document

... of generalized quasiequilibrium problems which includes as special cases the generalized vector quasi-equilibrium problems, vector quasiequilibrium problems, ... See full document

... The (SEP) was studied by Ansari et al. [2], Ansari and Yao [6], Konnov and Yao [22], Lin et al. [23], Oettli and Schlager [26], and the (SEP) contains the vector equilibrium problem in [10, 13, 19, 23, 25, ... See full document

... nonempty set X and f : X × X → R be a bifunction. The scalar equilibrium problem (for short, SEP) is to find x ∈ K such that f ( x, y) ≥  for every y ∈ ...of problems arising in pure and applied ... See full document

... Tarafdar, Generalized vector variational-like inequalities without monotonicity, Vector Variational Inequalities and Vector Equilibria: Mathematical Theories ...of generalized ... See full document

... nonexpansive mappings and their ...nonexpansive mappings only; see [] and [] for the classic weak con- vergence ...[], problems arise in infinite dimension spaces. In such problems, strong ... See full document

... A vector variational inequality VVI, in short was first introduced by Giannessi 1 in the setting of finite-dimensional Euclidean ...and generalized to infinite-dimensional ... See full document

... 13. Mann, WR: Mean value methods in iteration. Proc. Am. Math. Soc. 4, 506-510 (1953) 14. Genel, A, Lindenstruss, J: An example concerning fixed points. Isr. J. Math. 22, 81-86 (1975) 15. Khan, MA, Yannelis, NC: ... See full document