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Open AccessArticle

Fixed Point Theorems through Modified ω-Distance and Application to Nontrivial Equations

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Department of mathematics, School of Science, University of Jordan, Amman 11942, Jordan
2
Department of Mathematics and general courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(2), 57; https://doi.org/10.3390/axioms8020057
Received: 27 April 2019 / Revised: 27 April 2019 / Accepted: 5 May 2019 / Published: 8 May 2019
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
In this manuscript, we utilize the concept of modified ω -distance mapping, which was introduced by Alegre and Marin [Alegre, C.; Marin, J. Modified ω -distance on quasi metric spaces and fixed point theorems on complete quasi metric spaces. Topol. Appl. 2016, 203, 120–129] in 2016 to introduce the notions of ( ω , φ ) -Suzuki contraction and generalized ( ω , φ ) -Suzuki contraction. We employ these notions to prove some fixed point results. Moreover, we introduce an example to show the novelty of our results. Furthermore, we introduce some applications for our results. View Full-Text
Keywords: quasi metric space; Suzuki contractions; fixed point theorems; modified ω-distance; almost perfect functions quasi metric space; Suzuki contractions; fixed point theorems; modified ω-distance; almost perfect functions
MDPI and ACS Style

Qawasmeh, T.; Tallafha, A.; Shatanawi, W. Fixed Point Theorems through Modified ω-Distance and Application to Nontrivial Equations. Axioms 2019, 8, 57.

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