Vector equilibrium problems with generalized monotone bifunctions
Journal of Optimization Theory and Applications
Fixed-point theorems and equilibrium problems
Nonlinear Analysis: Theory, Methods & Applications
A Note on Equilibrium Problems with Properly Quasimonotone Bifunctions
Journal of Global Optimization
Existence of equilibria for multivalued mapping and its application to vectorial equilibria
Journal of Optimization Theory and Applications
Generalized Vector Equilibrium Problems with Trifunctions
Journal of Global Optimization
Generalized KKM Type Theorems in FC-Spaces with Applications (I)
Journal of Global Optimization
Generalized convex spaces, L-spaces, and FC-spaces
Journal of Global Optimization
New systems of generalized vector quasi-equilibrium problems in product FC-spaces
Journal of Global Optimization
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This paper is a continuum of the preceding paper of author. By applying a coincidence theorem in noncompact FC-space without any convexity structure due to author, a new KKM type theorem is first proved under noncompact setting of FC-spaces. The equivalent relation between the coincidence theorem and the KKM type theorem is also established. As applications of the KKM type theorem, we establish some new existence theorems of solutions for three classes of generalized vector equilibrium problems under noncompact setting of FC-spaces. These theorems improve and generalize many known results in literature.