Existence of Solutions to a Generalized System

K. R. Kazmi () and S. A. Khan
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K. R. Kazmi: Aligarh Muslim University
S. A. Khan: Aligarh Muslim University

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 2, No 6, 355-361

Abstract: 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.

Keywords: Generalized system; Strong pseudomonotone mapping; Hemicontinuous mapping (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-009-9530-7

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