A further generalization of midpoint convexity of multimaps towards common fixed point theorems and applications
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  • A further generalization of midpoint convexity of multimaps towards common fixed point theorems and applications

A further generalization of midpoint convexity of multimaps towards common fixed point theorems and applications

Authors

  • Irene Benedetti
  • Anna Martellotti

DOI:

https://doi.org/10.12775/TMNA.2015.039

Keywords

Common fixed points, midpoint convexity, commuting families of multimaps, best approximations, variational inequalities

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.
Vol 46, No 1 (September 2015)

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Published

2015-09-01

How to Cite

1.
BENEDETTI, Irene & 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, T. 46, nr 1, s. 93–111. [accessed 7.12.2021]. DOI 10.12775/TMNA.2015.039.

Issue

Vol 46, No 1 (September 2015)

Section

Articles

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