Suzuki Type Fixed Point Theorems in $S$-metric Space


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Authors

  • U. C. Gairola Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand, India
  • Deepak Khantwal Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal, Uttarakhand, India

Keywords:

Fixed point, Suzuki contraction, $S$-metric space, Functional equation

Abstract

Inspired by the work of Suzuki [19] and Sedghi et al. [16], we proved some Suzuki-type fixed point theorems in $S$-metric space which generalized the result of Sedghi et al. [16] and Edelstein [7]. Our first theorem also characterizes the completeness of $S$-metric space. Moreover, we gave an application for a certain class of functional equations arising in Dynamical programming and some examples to illustrate our results.

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Published

15-09-2017

How to Cite

U. C. Gairola, & Deepak Khantwal. (2017). Suzuki Type Fixed Point Theorems in $S$-metric Space. International Journal of Mathematics And Its Applications, 5(3 - C), 277–289. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/875

Issue

Vol. 5 No. 3 - C (2017)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.