Variational-like inequalities with relaxed ηα pseudomonotone mappings in Banach spaces

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Abstract

In this paper, we introduce a new concept of relaxed ηα pseudomonotonicity. By using the KKM technique, some existence results for variational-like inequalities with relaxed ηα pseudomonotone mappings in reflexive Banach spaces are established.

Keywords

Variational-like inequality
Relaxed ηα pseudomonotone mapping
KKM mapping

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The work is supported by NNSF of China (70271019).