Extended Strong Vector Ky Fan Inequality for Set-Valued Mappings

Rais Ahmad, Mijanur Rahaman


In this paper, we introduce and study an extended version of strong vector Ky Fan inequality for set-valued mappings in real Banach spaces. Using Minty type lemma and KKM-Fan theorem as basic tools, we prove existence theorems for extended strong vector Ky Fan inequality with and without monotonicity, respectively. Some examples are given.

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