Generalization of Mizoguchi-Takahashi type contraction and related fixed point theorems

In this paper, we introduce a new notion to generalize a Mizoguchi-Takahashi type contraction. Then, using this notion, we obtain a fixed point theorem for multivalued maps. Our results generalize some results by Minak and Altun, Kamran and those contained therein. MSC: 47H10, 54H25.

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Bibliographic Details
Published in:Journal of inequalities and applications 2014-11, Vol.2014 (1), p.1-9, Article 458
Main Authors: Kiran, Quanita, Ali, Muhammad Usman, Kamran, Tayyab
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Fixed points (mathematics)
Inequalities
Mathematics
Mathematics and Statistics
Thematic Series in the Honor of Professor Shih-Sen Chang’s(张石生) 80th birthday and his significant contributions to Nonlinear Analysis and its Applications
Theorems
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Summary:In this paper, we introduce a new notion to generalize a Mizoguchi-Takahashi type contraction. Then, using this notion, we obtain a fixed point theorem for multivalued maps. Our results generalize some results by Minak and Altun, Kamran and those contained therein. MSC: 47H10, 54H25.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2014-458