Some outcomes on fuzzy menger space via common property(E.A) and absorbing maps

Authors

  • Satyanna K Department of Mathematics. M.A.L.D. Government Degree College, Gadwal, Palamoor univesity, Telanagana State.
  • Srinivas Osmania university

Keywords:

Absorbing maps; Common property (E.A); Occasionally weakly compatible mappings; Fuzzy menger space.

Abstract

The present idea of this paper is to generalize the result proved by Ruchi Sing et.al.
obtaining two results in fuzzy menger space by employing absorbing maps, common property
(E.A) and occasionally weakly compatible mappings. Moreover these results are justified by
suitable examples.

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Author Biography

Srinivas, Osmania university

Associate professor,

Department of Mathematics,

UCS, Osmania university,

Hyderabad

References

Ivan Kramosil and Jiˇr´ı Mich´alek, Fuzzy metrics and statistical metric spaces, Kybernetika

(1975), 336 – 344. URL: http://dml.cz/dmlcz/125556.

S. N. Mishra, Common fixed points of compatible mappings in PM-spaces, Math. Japon 36

(1991), 283 – 289,

S. N. Mishra, Nilima Sharma, and S. L. Singh., Common fixed points of maps on fuzzy

metric spaces, International Journal of Mathematics and Mathematical Sciences 17 (1994),

– 258,

Abhay S.Ranadive and Anuja P. Chouhan, Absorbing maps and common fixed point theorem in Menger space, Adv. Fixed Point Theory 2 (2012), 108 – 119, http://scik.org.

Y. Rohen Singh and L. Premila Devi, Some fixed point theorems of semi compatible and

occasionally weakly compatible mappings in menger space, American Journal of Applied

Mathematics and Statistics 3 (2015), 29 – 33, doi:10.12691/ajams-3-1-6.

Ruchi Singh, A. D. Singh, and Vanita Ben Dhagat, Fixed point results in Fuzzy Menger

space, Journal of Applied Mathematics and Bioinformatics 5 (2015), 67 – 75.

Schweizer, Berthold and Abe Sklar, The metrization of statistical metric spaces, Pacific

Journal of Mathematics 10 (1960), 673 – 675,

Shivram Sharma and Praveen Kumar Sharma, On Common α fixed point theorems,

J.Maths. Comput.Sci 11 (2021), 87 – 108, doi:10.28919/jmcs/5064.

R. Shrivastav, Vivek Patel and Vanita Ben Dhagat, Fixed Point Result in Fuzzy Menger

Space with EA Property, Int. J. Contemp. Math. Sciences 8 (2013), 53 – 60, URL: www.mhikari.com.

Suneel Kumar and Brian Fisher, A common fixed point theorem in fuzzy metric space

using property (EA) and implicit relation, Thai Journal of Mathematics 8 (2012), 439 –

, URL: www.math.science.cmu.ac.th/thaijournal.

B. Vijayabasker Reddy and V. Srinivas, Fixed Point Theorem For Pair of Weakly Compatible Mappings Using CLRT Property, Int. J. Math. And Appl. 6 (2018), 1156 – 1163,

http://ijmaa.in/.

Lotfi Asker Zadeh , George J. Klir, and Bo Yuan Fuzzy sets, fuzzy logic, and fuzzy systems,

selected papers 12 (1996) 1-827.

Published

14-11-2024

How to Cite

K, S., & Srinivas. (2024). Some outcomes on fuzzy menger space via common property(E.A) and absorbing maps. Communications in Mathematics and Applications, 15(2). Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2149

Issue

Section

Research Article