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Title: The Study of KKM Theorems With Applications to Vector Equilibrium Problems and Implict Vector Variational Inequalities Problems
Authors: L.J. Lin;H.L.Chen
Contributors: 數學系
Keywords: C�x�-quasiconvex and C�x�-quasiconvexlike;Equilibrium problem;Implict
vector variational inequality
;KKM property (mapping);Properly quasimonotone;Transfer
open (closed)
;upper (lower) semicontinuous
Date: 2005-03
Issue Date: 2011-05-10T06:47:41Z
Publisher: Springer Verlag
Abstract: In this paper, we establish some equivalence relations between coincidence theorems
and KKM-type theorems. We also obtain some new coincidence theorems and fixed point
theorems. Applying the KKM-type theorems we obtain the existence theorems of generalized
vector equilibrium problems. From these results, some existence theorems of generalized
vector implicit variational inequality problems are established in this paper.
Relation: Journal of Global Optimization, 32(1):135-157
Appears in Collections:[math] Periodical Articles

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