Common Fixed Point Results for Rational ( ?, ? ) ? - m? Contractions in Complete Quasi Metric Spaces

Tariq Qawasmeh, Wasfi Shatanawi, Anwar Bataihah and Abdalla Tallafha
Additional contact information
Tariq Qawasmeh: Department of Mathematics, School of Science, University of Jordan, Amman 11942, Jordan
Wasfi Shatanawi: Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
Anwar Bataihah: Department of Mathematics, School of Science, University of Jordan, Amman 11942, Jordan
Abdalla Tallafha: Department of Mathematics, School of Science, University of Jordan, Amman 11942, Jordan

Mathematics, 2019, vol. 7, issue 5, 1-12

Abstract: The ω -distance mapping is one of the important tools that can be used to get new contractions in fixed point theory. The aim of this paper is to use the concept of modified ω -distance mapping to introduce the notion of rational ( α , β ) φ - m ω contraction. We utilize our new notion to construct and formulate many fixed point results for a pair of two mappings defined on a nonempty set A . Our results modify many existing known results. In addition, we support our work by an example.

Keywords: fixed point; quasi metric; contraction mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/5/392/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/5/392/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:5:p:392-:d:227245

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().