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New Existence of Fixed Point Results in Generalized Pseudodistance Functions with Its Application to Differential Equations

Author

Listed:
  • Sujitra Sanhan

    (Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand)

  • Winate Sanhan

    (Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand)

  • Chirasak Mongkolkeha

    (Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand)

Abstract

The purpose of this article is to prove some existences of fixed point theorems for generalized F -contraction mapping in metric spaces by using the concept of generalized pseudodistance. In addition, we give some examples to illustrate our main results. As the application, the existence of the solution of the second order differential equation is given.

Suggested Citation

  • Sujitra Sanhan & Winate Sanhan & Chirasak Mongkolkeha, 2018. "New Existence of Fixed Point Results in Generalized Pseudodistance Functions with Its Application to Differential Equations," Mathematics, MDPI, vol. 6(12), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:324-:d:190080
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    Cited by:

    1. Adrian Nicolae Branga & Ion Marian Olaru, 2020. "An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations," Mathematics, MDPI, vol. 8(7), pages 1-7, July.

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