The Existence of the pseu-Ky Fan’ Points and the Applications in Multiobjective Games
In this paper, we first propose pseu-Ky Fan’ points for vector Ky Fan inequalities and prove the existence results under some relaxed assumptions by virtue of KKMF principle and Fan-Browder fixed point theorem. Mild continuity named pseudocontinuity is introduced for the existence results which is weaker than semicontinuity and generalizes the present results in the literature. As applications, we define pseu-weakly Pareto-Nash equillibrium for multiobjective games and obtain some existence theorems.
Keywordsvector Ky Fan inequalities pseu-Ky Fan’ points Pseudocontinuity KKMF lemma pseu-weakly Pareto-Nash equillibrium
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