Some new generalizations of Mizoguchi-Takahashi type fixed point theorem

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Tarih

2013

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Yayıncı

Springer International Publishing Ag

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In the light of the paper of Hasanzade Asl et al. (Fixed Point Theory Appl. 2012: 212, 2012, doi:10.1186/1687-1812-2012-212), we obtain a fixed point theorem for multivalued mappings on a complete metric space. Our result is a generalized version of some results in the literature, including the famous result of Mizoguchi-Takahashi (J. Math. Anal. Appl. 141:177-188, 1989). Also, we give some examples to illustrate our result.

Açıklama

Altun, Ishak/0000-0002-7967-0554; Minak, Gulhan/0000-0002-3711-9633

Anahtar Kelimeler

fixed point, multivalued mappings, Mizoguchi-Takahashi's fixed point theorem, Nadler's fixed point theorem

Kaynak

Journal Of Inequalities And Applications

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Q2

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Q1

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Künye

Mınak, G., Altun, I. Some new generalizations of Mizoguchi-Takahashi type fixed point theorem. J Inequal Appl 2013, 493 (2013).