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On some fixed point results using simulation functions via w-distance with applications
Said Atallaoui1, Fady Hasan2, Wasfi Shatanawi2,3,4
1Department of Mathematics, Ziane Achour University, Djelfa 17000, Algeria.
Abstract:
Based on the notion of class of simulation functions, we launch the concept of --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.
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