On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces

Maduraiveeran Jeyaraman; Rengasamy Muthuraj; Mangaiyarkarasu Sornavalli

EN

On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces

Abstract

In this paper, we come out with the approach of generalized (Ψ,φ)-almost weakly contractive maps in the context of generalized fuzzy metric spaces. We prove theorem to show the existence of a fixed point and also provide an example in support to our result.

Keywords

(Ψ,φ)-almost weakly contractive map,Fuzzy metric space,Generalized fuzzy metric spaces

References

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[2] George, A. and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, (1994). 395–399.
[3] Kramosil, I. and Michalek, J., Fuzzy metric and statistical metric space, Kybernetika, 11(1975), 326-334.
[4] Sun, G. and Yang, K., Generalized fuzzy metric spaces with properties, Research Journal of Applied Sciences Eng. and Technology, Vol.2, (7), (2010), 673-678.
[5] Babu, G. V. R., Dasari Ratna babu, Kanuri Nageswara Rao, Bendi Venkata Siva Kumar, Fixed points of (Ψ,φ)-almost weakly contractive maps in G- metric Spaces, Applied Mathematical E-Notes 14 (2014), 69- 85.
[6] Berinde, V., Approximating fixed points of weak contractions using the picard Iteration, Nonlinear Anal. Forum, 9 (2004), 43- 53.
[7] Doric, D., Common fixed point for generalized (Ψ,φ) - weakly contractions, Appl. Math. Letter., 22 (2009), 1896-1900.
[8] Dutta, P. N. and Choudhury B. S., A generalization of contraction principle in metric spaces, Fixed point Theory and Appl., (2008), Article ID 406368.
[9] Harjani, J. and Sadarangani, K., Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Analy., 71 (2009) 3403-3410.
[10] Manthena P., Rangamma, M., Fixed points of of (Ψ,φ)-lmost weakly contractive maps in Fuzzy metric spaces, Advanced Fixed point theory, 6 (2016), No.4, 387-396.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Maduraiveeran Jeyaraman This is me

Rengasamy Muthuraj This is me

Mangaiyarkarasu Sornavalli This is me

Publication Date

October 6, 2018

Submission Date

May 22, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 25

IZ

https://izlik.org/JA96TN73AL

APA

Jeyaraman, M., Muthuraj, R., & Sornavalli, M. (2018). On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. Journal of New Theory, 25, 59-64. https://izlik.org/JA96TN73AL

AMA

1.Jeyaraman M, Muthuraj R, Sornavalli M. On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. JNT. 2018;(25):59-64. https://izlik.org/JA96TN73AL

Chicago

Jeyaraman, Maduraiveeran, Rengasamy Muthuraj, and Mangaiyarkarasu Sornavalli. 2018. “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”. Journal of New Theory, nos. 25: 59-64. https://izlik.org/JA96TN73AL.

EndNote

Jeyaraman M, Muthuraj R, Sornavalli M (October 1, 2018) On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. Journal of New Theory 25 59–64.

IEEE

[1]M. Jeyaraman, R. Muthuraj, and M. Sornavalli, “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”, JNT, no. 25, pp. 59–64, Oct. 2018, [Online]. Available: https://izlik.org/JA96TN73AL

ISNAD

Jeyaraman, Maduraiveeran - Muthuraj, Rengasamy - Sornavalli, Mangaiyarkarasu. “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”. Journal of New Theory. 25 (October 1, 2018): 59-64. https://izlik.org/JA96TN73AL.

JAMA

1.Jeyaraman M, Muthuraj R, Sornavalli M. On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. JNT. 2018;:59–64.

MLA

Jeyaraman, Maduraiveeran, et al. “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”. Journal of New Theory, no. 25, Oct. 2018, pp. 59-64, https://izlik.org/JA96TN73AL.

Vancouver

1.Maduraiveeran Jeyaraman, Rengasamy Muthuraj, Mangaiyarkarasu Sornavalli. On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. JNT [Internet]. 2018 Oct. 1;(25):59-64. Available from: https://izlik.org/JA96TN73AL