Some Common Fixed Point Theorems for Generalized F -Contraction Involving w -Distance with Some Applications to Differential Equations

Chirasak Mongkolkeha and Dhananjay Gopal
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Chirasak Mongkolkeha: Department of Mathematics Statistics and Computer Science, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand
Dhananjay Gopal: Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat 395007, India

Mathematics, 2018, vol. 7, issue 1, 1-20

Abstract: In this paper, we introduce the Ćirić type generalized F -contraction and establish certain common fixed point results for such F -contraction in metric spaces with the w -distances. In addition, we give some examples to support our results. Finally, we apply our results to show the existence of solutions of the second order differential equation.

Keywords: common fixed point; w -distance; F -contraction; the Ćirić type generalized F -contraction; nonlinear integral equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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