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Common Fixed Point Theorems for Six occasionally weakly Compatible Mappings in Fuzzy Metric Spaces

0*, P. Srikanth Rao**

* Associate Professor, Department of Mathematics, Aurora's Technological Institute, Hyderabad, Telangana, India.

** Professor, Department of Mathematics, B.V. Raju Institute of Technology, Narsapur, Telangana, India.

Periodicity:January - March'2018
DOI : https://doi.org/10.26634/jmat.7.1.14029

Abstract

The fixed point hypotheses in metric spaces are assuming a noteworthy part to develop techniques in arithmetic to take care of issues in connecting applied mathematics and sciences. So the fascination of metric spaces to substantial quantities of mathematicians is understandable. The aim of this paper is to prove common fixed point theorems for Occasionally Weakly Compatible six self mappings. The concept of Occasionally Weakly Compatible Mappings introduced by Al-Thagafi and Shahzad (2008) also generalized the concept of compatible maps and weakly compatible maps in fuzzy metric space. The authors aim to improve the results of Sanodia et al. (2017). Their result generalizes and improves other similar results in the literature.

Keywords

Common Fixed Points, Fuzzy Metric Space, Compatible Maps, Weak Compatible Maps, Occasionally Weakly Compatible Mappings, T-Norm, Fixed Point

How to Cite this Article?

Singh, T.R., and Rao, P.S. (2018). Common Fixed Point Theorems for Six Occasionally Weakly Compatible Mappings in Fuzzy Metric Spaces. i-manager’s Journal on Mathematics, 7(1), 28-33. https://doi.org/10.26634/jmat.7.1.14029

References

[1]. Aage, C. T., & Salunke, J. N. (2010). On fixed point theorems in fuzzy metric spaces. Int. J. Open Problems Compt. Math., 3(2), 123-131.

[2]. Al-Thagafi, M. A., & Shahzad, N. (2008). Generalized I-nonexpansive selfmaps and invariant approximations. Acta Mathematica Sinica, English Series, 24(5), 867-876.

[3]. Balasubrmaniam, P., & Muralisnkar, S. (2002). Common Fixed Points of four mappings in a fuzzy metric spaces. J. Fuzzy Math., 10(2), 379-384.

[4]. George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces. Fuzzy Sets and Systems, 64(3), 395-399.

[5]. Jungck, G., & Rhoades, B. E. (1998). Fixed point for set valued functions without continuity. Indian J. Pure Appl. Math., 29(3), 771- 779.

[6]. Jungck, G., & Rhoades, B. E. (2008). Fixed point for Occasionally Weakly Compatible Mappings. Erratum, Fixed Point Theory, 9(1), 383-384.

[7]. Kramosil, I., & Michálek, J. (1975). Fuzzy metrics and statistical metric spaces. Kybernetika, 11(5), 336-344.

[8]. Pant, R. P. (1998). Common fixed points of four mappings. Bull. Cal. Math. Soc., 90, 281-286.

[9]. Sanodia, P. L., Dubey, H. O., & Pandey, V. P. ( 2017). Common fixed point theorems for four mappings in fuzzy metric Spaces. IJAESTR International Journal, 4(1), 453-459.

[10]. Schweizerans, B., & Sklar, A. (1960). Statistical metric spaces. Pacific J. Math., 10(1), 313-334.

[11]. Vasuki, R. (1999). Common fixed points for R-weakly commuting maps in fuzzy metric spaces. Indian Journal of Pure and Applied Mathematics, 30(4), 419-424.

[12]. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338-353.

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