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Topological pseudomonotonicity and vector equilibrium problems. (English) Zbl 1007.90077

Summary: We introduce the topological pseudomonotonicity to vector valued bi-functions, and derive some existence results for vector equilibrium problems with the corresponding bifunctions topologically pseudomonotone. Some applications to vector variational inequalities and existence of Pareto optima are given.

MSC:

90C47 Minimax problems in mathematical programming
90C29 Multi-objective and goal programming
58E35 Variational inequalities (global problems) in infinite-dimensional spaces
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
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