On the Existence Results of Solutions to Generalized Vector Equilibrium Problems
نویسندگان
چکیده
In this paper, we introduce a class of generalized vector equilibrium problems for set-valued mappings which include a number of vector equilibrium problems, generalized vector variational-like inequality problems and generalized vector variational inequality problems as special cases. By using the KKM-Fan theorem and Nadler’s lemma, we prove the existence of solution to this class of generalized vector equilibrium problems in Banach spaces with no assumption of pseudomonotonicity. The results presented here are extension of the corresponding results in [13,14].
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