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MathematicsVolume 9, Issue 2, 2 January 2021, Article number 161, Pages 1-11

On Jungck–Branciari–Wardowski type fixed point results(Article)(Open Access)

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  • aFaculty of Technical Science, University of Novi Sad, Trg Dositeja Obradovića 6, Novi Sad, 21000, Serbia
  • bFaculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Novi Sad, 21000, Serbia
  • cDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
  • dDepartment of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, 490006, India
  • eFaculty of Electrical Engineering, University of Banja Luka, Patre 5, Banja Luka, 78000, Bosnia and Herzegovina
  • fFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd, 11120, Serbia

Abstract

The terms of F−integral contraction as well as (ϖ, ˜ζ, F, i)−integral contraction are introduced. Fixed point and common fixed point theorems are established. For the mapping F we use only the supposition that it is strictly increasing. As a consequence of the main theorems we obtain Jungck–Wardowski, Branciari–Wardowski and Jungck–Branciari type results. Consequently, the results presented in the article enhance and complement some known results in literature. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Author keywords

Banach contraction principleBranciari contractionCompatible mappingsFixed pointJungck contraction

Funding details

Funding sponsor Funding number Acronym
Deanship of Scientific Research, Prince Sattam bin Abdulaziz UniversityDSR
Deanship of Scientific Research, King Saud University
Prince Sattam bin Abdulaziz UniversityPSAU
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja200134,451-03-68/2020-14/200134MPNTR

  • 1

    Acknowledgments: The authors are thankful to the Deanship of Scientific Research at Prince Sat-tam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia, for supporting this research. The second author has been supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia, project no. 451-03-68/2020-14/200134.

  • 2

    The authors are thankful to the Deanship of Scientific Research at Prince Sattam bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia, for supporting this research. The second author has been supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia, project no. 451-03-68/2020-14/200134.

  • ISSN: 22277390
  • Source Type: Journal
  • Original language: English
  • DOI: 10.3390/math9020161
  • Document Type: Article
  • Publisher: MDPI AG

  George, R.; Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia;
  George, R.; Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, India;
© Copyright 2021 Elsevier B.V., All rights reserved.

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