Minimax Theorems for Set‐Valued Mappings under Cone‐Convexities
Yen-Cherng Lin, Qamrul Hasan Ansari, Hang–Chin Lai · Abstract and Applied Analysis · 2012
The aim of this paper is to study the minimax theorems for set‐valued mappings with or without linear structure. We define several kinds of cone‐convexities for set‐valued mappings, give some examples of such set‐valued mappings, and study the relationships among these cone‐convexities. By using our minimax theorems, we derive some existence results for saddle points of set‐valued mappings. Some examples to illustrate our results are also given.