Research Article

Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces

Volume: 2 Number: 1 June 30, 2020
EN

Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces

Abstract

In this paper, we introduce Chatterjea type (psi ;phi)-weakly cyclic coupled mapping in S-metric spaces and prove the existence and uniqueness of strong coupled fixed point of such mapping. We give an illustrative example in support of our result.

Keywords

References

  1. [1] Ajay Singh and Nawneet Hooda, Coupled fixed point theorems in S-metric spaces, IJMSI, 2 (4) (2014) 33-39.
  2. [2] Ya. I. Alber, S. Guerre-Delabriere, Principles of weakly contractive maps in Hilbert spaces, New results in Operator Theory, Advances Appl., 8, (I. Gohberg and Yu. Lyubich, eds.), Birkhauser, Basel, (1997) 7-22.
  3. [3] M. Almahalebi, A. H. Ansari, and S. Chandok, Fixed point theorem for cyclic (µ, ψ, ϕ)-weakly contractions via a new function, Analele Universitatii de Vest, Timsoara - Seria Matematica Informatica LV, 2 (2017) 3-15.
  4. [4] G. V. R. Babu, Leta Bekere Kumssa, Fixed Points of (α, ψ, ϕ)- Generalized Weakly Contractive Maps and Property (P) in S-metric spaces, Filomat, 31 (14) (2017) 4469-4481.
  5. [5] G. V. R. Babu, K. K. M. Sarma, V. A. Kumari and P. Sudheer Kumar, Fixed point results of various cyclic contractions in metric spaces, International Journal of Advances in Mathematics, 2018 (5) (2018) 1-13.
  6. [6] G. V. R. Babu, P. D. Sailaja, G. Srichandana, Common fixed points via Ck-class functions in S-metric spaces, Journal of Fixed Point Theory, 2020 (1) (2020) pages 22.
  7. [7] S. Chandok and M. Postolache, Fixed point theorem for weakly Chatterjea-type cyclic contractions, Fixed Point Theory and Applications, 2013 (28) (2013) 9 pages.
  8. [8] S. K. Chatterjea, Fixed-point theorems, C. R. Acad. Bulgare Sci., (25) (1972) 727-730.

Details

Primary Language

English

Subjects

Software Engineering (Other)

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

June 21, 2020

Acceptance Date

June 29, 2020

Published in Issue

Year 2020 Volume: 2 Number: 1

APA
Babu, G. V. R., Durga Saılaja, P., & Srıchandana, G. (2020). Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces. Proceedings of International Mathematical Sciences, 2(1), 60-78. https://izlik.org/JA79HY95KB
AMA
1.Babu GVR, Durga Saılaja P, Srıchandana G. Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces. PIMS. 2020;2(1):60-78. https://izlik.org/JA79HY95KB
Chicago
Babu, G. V. R., Pericherla Durga Saılaja, and Gadhavajjala Srıchandana. 2020. “Strong Coupled Fixed Points of Chatterjea Type (psi ;Phi)-Weakly Cyclic Coupled Mappings in S-Metric Spaces”. Proceedings of International Mathematical Sciences 2 (1): 60-78. https://izlik.org/JA79HY95KB.
EndNote
Babu GVR, Durga Saılaja P, Srıchandana G (June 1, 2020) Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces. Proceedings of International Mathematical Sciences 2 1 60–78.
IEEE
[1]G. V. R. Babu, P. Durga Saılaja, and G. Srıchandana, “Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces”, PIMS, vol. 2, no. 1, pp. 60–78, June 2020, [Online]. Available: https://izlik.org/JA79HY95KB
ISNAD
Babu, G. V. R. - Durga Saılaja, Pericherla - Srıchandana, Gadhavajjala. “Strong Coupled Fixed Points of Chatterjea Type (psi ;Phi)-Weakly Cyclic Coupled Mappings in S-Metric Spaces”. Proceedings of International Mathematical Sciences 2/1 (June 1, 2020): 60-78. https://izlik.org/JA79HY95KB.
JAMA
1.Babu GVR, Durga Saılaja P, Srıchandana G. Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces. PIMS. 2020;2:60–78.
MLA
Babu, G. V. R., et al. “Strong Coupled Fixed Points of Chatterjea Type (psi ;Phi)-Weakly Cyclic Coupled Mappings in S-Metric Spaces”. Proceedings of International Mathematical Sciences, vol. 2, no. 1, June 2020, pp. 60-78, https://izlik.org/JA79HY95KB.
Vancouver
1.G. V. R. Babu, Pericherla Durga Saılaja, Gadhavajjala Srıchandana. Strong coupled fixed points of Chatterjea type (psi ;phi)-weakly cyclic coupled mappings in S-metric spaces. PIMS [Internet]. 2020 Jun. 1;2(1):60-78. Available from: https://izlik.org/JA79HY95KB
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