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Open AccessArticle

On a New Generalization of Banach Contraction Principle with Application

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Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
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Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
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Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
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Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
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Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(9), 862; https://doi.org/10.3390/math7090862
Received: 10 August 2019 / Revised: 28 August 2019 / Accepted: 29 August 2019 / Published: 18 September 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
The main purpose of the current work is to present firstly a new generalization of Caristi’s fixed point result and secondly the Banach contraction principle. An example and an application is given to show the usability of our results. View Full-Text
Keywords: Banach contraction principle; Caristi fixed point; lower semi-continuous function; integral equation Banach contraction principle; Caristi fixed point; lower semi-continuous function; integral equation
MDPI and ACS Style

Işık, H.; Mohammadi, B.; Haddadi, M.R.; Parvaneh, V. On a New Generalization of Banach Contraction Principle with Application. Mathematics 2019, 7, 862.

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