A further generalization of midpoint convexity of multimaps towards common fixed point theorems and applications
DOI:
https://doi.org/10.12775/TMNA.2015.039Keywords
Common fixed points, midpoint convexity, commuting families of multimaps, best approximations, variational inequalitiesAbstract
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.Downloads
Published
2015-09-01
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BENEDETTI, Irene and MARTELLOTTI, Anna. A further generalization of midpoint convexity of multimaps towards common fixed point theorems and applications. Topological Methods in Nonlinear Analysis. Online. 1 September 2015. Vol. 46, no. 1, pp. 93 - 111. [Accessed 20 April 2024]. DOI 10.12775/TMNA.2015.039.
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