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2015 A further generalization of midpoint convexity of multimaps towards common fixed point Theorems and applications
Irene Benedetti, Anna Martellotti
Topol. Methods Nonlinear Anal. 46(1): 93-111 (2015). DOI: 10.12775/TMNA.2015.039

Abstract

We furtherly generalize midpoint convexity for multivalued maps and derive Fixed Point Theorems and Common Fixed Point Theorems without requiring strong compactness. As an application we obtain some Best Approximation results, and minimax and variational inequalities.

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Irene Benedetti. Anna Martellotti. "A further generalization of midpoint convexity of multimaps towards common fixed point Theorems and applications." Topol. Methods Nonlinear Anal. 46 (1) 93 - 111, 2015. https://doi.org/10.12775/TMNA.2015.039

Information

Published: 2015
First available in Project Euclid: 30 March 2016

zbMATH: 06712680
MathSciNet: MR3443680
Digital Object Identifier: 10.12775/TMNA.2015.039

Rights: Copyright © 2015 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.46 • No. 1 • 2015
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