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Common Fixed Point Theorems for Pair of Self Mapping Satisfying Common (E.A) like Property in Fuzzy Metric Spaces

by Bijendra Singh, Mahendra S. Bhadauriya
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 75 - Number 16
Year of Publication: 2013
Authors: Bijendra Singh, Mahendra S. Bhadauriya
10.5120/13196-0865

Bijendra Singh, Mahendra S. Bhadauriya . Common Fixed Point Theorems for Pair of Self Mapping Satisfying Common (E.A) like Property in Fuzzy Metric Spaces. International Journal of Computer Applications. 75, 16 ( August 2013), 29-32. DOI=10.5120/13196-0865

@article{ 10.5120/13196-0865,
author = { Bijendra Singh, Mahendra S. Bhadauriya },
title = { Common Fixed Point Theorems for Pair of Self Mapping Satisfying Common (E.A) like Property in Fuzzy Metric Spaces },
journal = { International Journal of Computer Applications },
issue_date = { August 2013 },
volume = { 75 },
number = { 16 },
month = { August },
year = { 2013 },
issn = { 0975-8887 },
pages = { 29-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume75/number16/13196-0865/ },
doi = { 10.5120/13196-0865 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:44:27.243016+05:30
%A Bijendra Singh
%A Mahendra S. Bhadauriya
%T Common Fixed Point Theorems for Pair of Self Mapping Satisfying Common (E.A) like Property in Fuzzy Metric Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 75
%N 16
%P 29-32
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we prove some common fixed point theorems for a pair of self mappings which possess the common (E. A. ) like property and satisfy certain sufficient conditions in the fuzzy metric space. Our result generalized the result of [2].

References
  1. Aamri M. and D. E. Motawakil, Some new common fixed point theorem under strict contractive conditions, J. Math. Anal Appli. 270 (2002), Pages 181-188
  2. Aalam I. , kumar S. and Pant, B. D. A common fixed point theorem in fuzzy metric space. Bull. Of Math. Analysis and applications, ISSN: 1821-1291. Vol. 2 Issue 4 (2010), Pages 76-82.
  3. Bhardwaj R. K, etal, Some Results on Fuzzy metric spaces, proceeding world congress on Engineering 2011 Vol. 1, WCE 2011, July 6-8, 2011 London, U. K.
  4. Chauhan, M. S. , Badshah, V. H. and Chouhan V. S. A fixed point theorem for four weakly compatible mappings in fuzzy metric space, int. Journal of math. Analysis, Vol. 4, 2010, no. 6, 273-278.
  5. Geroge A. and P. Veeramani, on some result in Fuzzy metric spaces, Fuzzy sets and systems 64 (1994), 395-399
  6. Grabiec M, Fixed points in Fuzzy metric spaces, Fuzzy sets and systems 27 (1988), 385-389
  7. Jungck, G. and Rhoades, B. E,Fixed point for set valued functions without continuity, Indian Journal of pure and Applied Mathematics, 29(1998), 227-238,
  8. I Kramosil and J. Michalek, fuzzy metric and statistical metric spaces, kypernatika 11(1975) m, 336-344
  9. Kumar S. , Fixed point theorems for weakly compatible maps under (E. A) property in fuzzy metric spaces; J. Appl. Math and Informatics Vol. 29 (2011), No. 1-2, PP. 395-405.
  10. S. N. Mishra, N. Sharma and S. L. Singh, Common fixed point of maps on fuzzy metric spaces, int. J. Math, Math Sci. 17 (1994) 253-258
  11. V. Pant and R. P. Pant, Fixed points in fuzzy metric spaces for non compatible maps, Soochow J. Math 33(4) (2207) 647-655.
  12. H. K. Pathak, R. R. Lopez and R. K. Verma, A common fixed point theorem using implicit relation and property (E. A. ) in metric spaces, Filomat 21(2) (2007) 211-234
  13. Manro , Bhatia S. and Kumar S. ,Common fixed point theorem for weakly compatible maps satisfying (E. A) property in intuitionistic fuzzy metric spaces; Punjab University, Journal of mathematics. Vol. 42 (2010) pp. 51-56.
  14. Pathak, H. K. , Chang, S. S. and Cho, Y. J. , Fixed point theorems for compatible mappings of type (P), Indian Journal of mathematics, Vol 36, No. 2, August 1994, and 151-166.
  15. Singh, B. and Jain, S. Semi-compatibility and fixed point theorems in fuzzy metric space using implicit Relations. International Journal of mathematics and mathematical sciences, 16: 2005, 2617-2629.
  16. Singh, B. and Bhadauriya MS, Common fixed point theorem ? chainable fuzzy metric spaces, using implicit relation, International journal of computer application (0975-8887)Volume 39– No. 4, February 2012
  17. Wadhwa k et. al, Impact of (E. A) like property on common fixed point theorem in fuzzy metric spaces, journal of advance study in topology, vol3,no2012,52-59.
  18. Zadeh, L. A, Fuzzy sets Inform and Control, 8 (1965), 338-353. 1965.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy metric space Compatible maps Weakly Compatible maps (E. A. ) property Common (E. A) like property

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