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

Author

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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)

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.

Suggested Citation

  • Chirasak Mongkolkeha & Dhananjay Gopal, 2018. "Some Common Fixed Point Theorems for Generalized F -Contraction Involving w -Distance with Some Applications to Differential Equations," Mathematics, MDPI, vol. 7(1), pages 1-20, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:32-:d:194033
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    References listed on IDEAS

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    1. Proinov, Petko D. & Nikolova, Ivanka A., 2015. "Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 359-365.
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