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

Autor

  • Irene Benedetti
  • Anna Martellotti

DOI:

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

Słowa kluczowe

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

Abstrakt

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)

Pobrania

Opublikowane

2015-09-01

Jak cytować

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 wrzesień 2015, T. 46, nr 1, s. 93–111. [udostępniono 7.7.2025]. DOI 10.12775/TMNA.2015.039.

Numer

Vol 46, No 1 (September 2015)

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