Nonlinear contractions and fixed point theorems with modified $\omega$-distance mappings in complete quasi metric spaces

Volume 10, Issue 10, pp 5342--5350 http://dx.doi.org/10.22436/jnsa.010.10.20

Publication Date: October 20, 2017 Submission Date: March 22, 2017

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Authors

Inam Nuseir - Department of Mathematics and Statistics, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, Jordan. Wasfi Shatanawi - Department of Mathematics and General Courses, Prince Sultan University, Riyadh, Saudi Arabia. - Department of Mathematics, Hashemite University, P. O. Box 150459, Zarqa, Jordan. Issam Abu-Irwaq - Department of Mathematics and Statistics, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, Jordan. Anwar Bataihah - Department of Mathematics, The University of Jordan, Amman, Jordan.

Abstract

Alegre and Marin [C. Alegre, J. Marin, Topol. Appl., \({\bf 203}\) (2016), 32--41] introduced the concept of modified \(\omega\)-distance mappings on a complete quasi metric space in which they studied some fixed point results. In this manuscript, we prove some fixed point results of nonlinear contraction conditions through modified \(\omega\)-distance mapping on a complete quasi metric space in sense of Alegre and Marin.

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Keywords

• Quasi metric
• fixed point theorem
• nonlinear contraction
• altering distance
• modified \(\omega\)-distance

MSC

•  54H25
•  47H09

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