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Mathematics 2019, 7(2), 153; https://doi.org/10.3390/math7020153

Sehgal Type Contractions on Dislocated Spaces

1
Department of Mathematics, King Saud University, 11451 Riyadh, Saudi Arabia
2
Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500091 Brasov, Romania
3
Department of Medical Research, China Medical University, Taichung 40402, Taiwan
4
Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam-532127, India
*
Authors to whom correspondence should be addressed.
Received: 17 December 2018 / Revised: 1 February 2019 / Accepted: 2 February 2019 / Published: 6 February 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
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Abstract

In this paper, we investigate the contractive type inequalities for the iteration of the mapping at a given point in the setting of dislocated metric space. We consider an example to illustrate the validity of the given result. Further, as an application, we propose a solution for a boundary value problem of the second order differential equation. View Full-Text
Keywords: quasi-metric spaces; fixed point; self-mappings quasi-metric spaces; fixed point; self-mappings
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Alqahtani, B.; Fulga, A.; Karapınar, E.; Kumari, P.S. Sehgal Type Contractions on Dislocated Spaces. Mathematics 2019, 7, 153.

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