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Extended Mizoguchi-Takahashi Type Fixed Point Theorems and Their Application

Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(7), 575;
Received: 10 May 2019 / Revised: 22 June 2019 / Accepted: 24 June 2019 / Published: 27 June 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
The aim of this work is to extend the Mizoguchi-Takahashi fixed point result motivated by the approach of Wardowski (2012) and provide some related fixed point results in (ordered) metric spaces. An example is given to support the main results. Moreover, we provide an application on nonlinear differential equations. View Full-Text
MDPI and ACS Style

Mohammadi, B.; Parvaneh, V.; Aydi, H.; Işık, H. Extended Mizoguchi-Takahashi Type Fixed Point Theorems and Their Application. Mathematics 2019, 7, 575.

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