On some fixed point results using CG simulation functions via w-distance with applications
Said Atallaoui,
Fady Hasan,
Wasfi Shatanawi,
Zead Mustafa,
Abdalla Tallafha
Affiliations
Said Atallaoui
Department of Mathematics, Ziane Achour University, Djelfa 17000, Algeria
Fady Hasan
Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Wasfi Shatanawi
Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan; Corresponding author at: Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.
Zead Mustafa
Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan
Abdalla Tallafha
Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
Based on the notion of class of CG simulation functions, we launch the concept of (ρ,ϑ)-ZG-contraction on the setting of w-distance mappings. We employ our new concept to formulate and prove several fixed point results over the complete metric spaces. Also, we provide some concrete examples to show the usability of the obtained results. Furthermore, we study the existence of a unique solution of nonlinear fractional differential equations, nonlinear integral equations and spring-mass system problems. The results presented in this manuscript generalize many of the results known in the literature.
