Existence of Solutions to a Generalized System |
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Authors: | K R Kazmi S A Khan |
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Institution: | (1) Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India |
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Abstract: | In this paper, we consider a generalized system in real Banach spaces. Using Brouwer’s fixed-point theorem, we establish some
existence theorems for generalized system without monotonicity. Further, we extend the concept of C-strong pseudomonotonicity for a bifunction and extend Minty’s lemma for a generalized system. Furthermore, using the Minty
lemma and KKM-Fan lemma, we establish an existence theorem for a generalized system with monotonicity in real reflexive Banach
spaces. |
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Keywords: | Generalized system Strong pseudomonotone mapping Hemicontinuous mapping |
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