Minimax inequalities for vector-valued functions in abstract convexity spaces
Maryam Salehnejad, Mahdi Azhini · Journal of Information and Optimization Sciences · 2021
In this article, we first prove the extension of KKM lemma for generalized KKM mappings on abstract convexity spaces satisfying H0-condition. Then, we give some generalized minimax inequalities for vector-valued functions by means of the generalized KKM theorem. Finally, we prove a cone-saddle point theorem as an application of our results.