Fixed Point Theorems for $\psi$-contractions in S-metric Spaces and KKS-metric Spaces


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Authors

  • K. P. R. Sastry Professor (Rtd.) 8-28-8/1, Tamil Street, Chinna Waltair, Visakhapatnam, India
  • K. K. M. Sarma Department of Mathematics, Andhra University, Visakhapatnam, India
  • P. Krishna Kumari Department of Mathematics, Andhra University, Visakhapatnam, India
  • Sunitha Choudari Department of Mathematics, St. Joseph’s College for Women(A), Visakhapatnam, India

Keywords:

S-metric space, KKS metric space, $\psi$-contraction

Abstract

In this paper we introduce the notion of $\psi$-contractions for self maps on S-metric spaces and establish a fixed point theorem for such maps. We also introduce a new subclass of S-metric spaces called KKS metric spaces and prove a fixed point theorem for a $\psi$-contraction on a KKS metric space. An open problem is also given at the end of the paper.

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Published

15-12-2017

How to Cite

K. P. R. Sastry, K. K. M. Sarma, P. Krishna Kumari, & Sunitha Choudari. (2017). Fixed Point Theorems for $\psi$-contractions in S-metric Spaces and KKS-metric Spaces. International Journal of Mathematics And Its Applications, 5(4 - E), 619–632. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1318

Issue

Vol. 5 No. 4 - E (2017)

Section

Research Article

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