Fixed Point Theorems for (ε, λ) -Uniformly Locally Generalized Contractions

Authors

  • Dr. M. Ramana Reddy  Associate Professor of Mathematics, Sreenidhi Institute of Science and technology, Hyderabad, Telangana , India

Keywords:

Generalized Metric or D*-Metric Space, Open Ball, (ε, λ)-Uniformly Locally Generalized Contraction.

Abstract

In this paper we define a class called (ε, λ)-uniformly locally generalized contractions and establish a fixed point theorem for such contractions.

References

  1. B. C. Dhage, "Generalized metric spaces and mappings with fixed point", Bulletin of Calcutta Math. Soc. Vol-84, No. 4, pp 329-336(1992)
  2. B. Ahmad, M. Ashraf and B.E. Rhoades, "Fixed point theorems for expansive mappings in D-metric spaces", Indian J. Pure and Applied Mathematics Vol-30, No.10, pp.1513-1518 (2001).
  3. B. C. Dhage, "Generalized metric spaces and mappings with fixed point", Bulletin of Calcutta Math. Soc. Vol-84, No. 4, pp 329-336(1992)
  4. B. C. Dhage, "Common fixed point principle in D-metric spaces", Bulletin of Calcutta Math. Soc. Vol-91, No. 6, pp 475-480 (1999)
  5. B.E. Rhoades, "A fixed point theorem for generalized metric spaces", Int. J. Math. Sci. 1 (2005).
  6. B. Singh and R.K. Sharma, "Common fixed points via compatible maps in D-metric space", Radovi Matemeticki 11 (2002); pp 145-153.

International Journal of Scientific Research in Science and Technology

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Published

2018-02-28

Issue

Volume 4, Issue 2, January-February-2018

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

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

How to Cite

[1]
Dr. M. Ramana Reddy, " Fixed Point Theorems for (ε, λ) -Uniformly Locally Generalized Contractions, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 4, Issue 2, pp.583-587, January-February-2018.