Existence of Common Fixed Points for a Pair of Generalized Geraghty Contractions in Convex Metric Spaces


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Authors

  • K. P. R. Sastry Faculty in Mathematics, AU Campus, Vizianagaram, India
  • G. Appla Naidu Faculty in Mathematics, AU Campus, Vizianagaram, India
  • Ch. Srinivasa Rao Faculty in Mathematics, AU Campus, Vizianagaram, India
  • B. Ramunaidu Faculty in Mathematics, AU Campus, Vizianagaram, India
  • P. S. Kumar Faculty in Mathematics, AU Campus, Vizianagaram, India

Keywords:

Complete convex metric space, Geraghty contraction, common fixed points, altering distances, starshaped set

Abstract

In this paper, we prove the existence of common fixed points of generalized Geraghty contractions for a pair of self maps on a complete convex metric space under the influence of altering distances with out continuity. These results generalize some of the previously known results. Two open problems are also given.

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Published

15-03-2017

How to Cite

K. P. R. Sastry, G. Appla Naidu, Ch. Srinivasa Rao, B. Ramunaidu, & P. S. Kumar. (2017). Existence of Common Fixed Points for a Pair of Generalized Geraghty Contractions in Convex Metric Spaces. International Journal of Mathematics And Its Applications, 5(1 - C), 317–325. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/780

Issue

Vol. 5 No. 1 - C (2017)

Section

Research Article

License

Creative Commons License

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