Gülhan MIKNAK, Ishak ALTUN

94114

Overall approach to Mizoguchi--Takahashi type fixed point results

In this work, inspired by the recent technique of Jleli and Samet, we give a new generalization of the well-known Mizoguchi--Takahashi fixed point theorem, which is the closest answer to Reich's conjecture about the existence of fixed points of multivalued mappings on complete metric spaces. We also provide a nontrivial example showing that our result is a proper generalization of the Mizoguchi--Takahashi result.

Keywords:

Fixed point, multivalued mappings Mizoguchi--Takahasi result, $% \theta $-contraction,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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