Research Article

Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces

Volume: 48 Number: 5 October 8, 2019
  • Y. Mahendra Singh *
  • G. A. Hirankumar Sharma
  • M. R. Singh
EN

Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces

Abstract

The intent of this paper is to prove common fixed point theorems under $(\psi, \varphi)$ -weak contractive conditions satisfying the common limit range property  and the common property-(E.A) of four self mappings in the setting of metric spaces. Illustrative examples are also furnished to justify the validity of our results.

Keywords

References

  1. [1] M. Aamri and D. EL Moutawakil, Some new common fixed points under strict con- tractive conditions, J. Math. Anal. Appl. 270, 181-188, 2002.
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  3. [3] M. Abbas and M.A. Khan, Common fixed point theorems of two mappings satisfying a generalized weak contractive condition, Int. J. Math. Math. 2009, 9 pages, 2009.
  4. [4] A.P. Agarwal, M.A. Alghamdi and N. Shahzad, Fixed point theory for cyclic genralized contractions in partial metric spaces, Fixed Point Theory Appl. 2012, 11 pages, 2012.
  5. [5] I.Y. Alber and S. Guerre-Delabriere, Principle of weakly contractive maps in Hilbert space, in: New Results in Operator Theory and its Appl. 98, 7-22, Birkhäuser, Basel, Switzerland, 1997.
  6. [6] I. Beg and M. Abbas, Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory Appl. 2006, Article ID 74503, 7 pages, 2006.
  7. [7] B.S. Choudhury, P. Konar, B.E. Rhoades and N. Metiya, Fixed point theorems for generalized weakly contractive mapppings, Nonlinear Anal.: Theory Appl. 74 (6), 2116-2126, 2011.
  8. [8] H.S. Ding, Z. Kadelburg, E. Karapinar and S. Radenovic, Common fixed points of weak contractions in cone metric spaces, Abstract Appl. Anal. 2012, 18 pages, 2012.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 8, 2019

Submission Date

October 27, 2016

Acceptance Date

April 10, 2018

Published in Issue

Year 2019 Volume: 48 Number: 5

APA
Singh, Y. M., Sharma, G. A. H., & Singh, M. R. (2019). Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces. Hacettepe Journal of Mathematics and Statistics, 48(5), 1398-1408. https://izlik.org/JA83BZ42NW
AMA
1.Singh YM, Sharma GAH, Singh MR. Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48(5):1398-1408. https://izlik.org/JA83BZ42NW
Chicago
Singh, Y. Mahendra, G. A. Hirankumar Sharma, and M. R. Singh. 2019. “Common Fixed Point Theorems for $(\psi, \varphi)$-Weak Contractive Conditions in Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 48 (5): 1398-1408. https://izlik.org/JA83BZ42NW.
EndNote
Singh YM, Sharma GAH, Singh MR (October 1, 2019) Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces. Hacettepe Journal of Mathematics and Statistics 48 5 1398–1408.
IEEE
[1]Y. M. Singh, G. A. H. Sharma, and M. R. Singh, “Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 5, pp. 1398–1408, Oct. 2019, [Online]. Available: https://izlik.org/JA83BZ42NW
ISNAD
Singh, Y. Mahendra - Sharma, G. A. Hirankumar - Singh, M. R. “Common Fixed Point Theorems for $(\psi, \varphi)$-Weak Contractive Conditions in Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 48/5 (October 1, 2019): 1398-1408. https://izlik.org/JA83BZ42NW.
JAMA
1.Singh YM, Sharma GAH, Singh MR. Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces. Hacettepe Journal of Mathematics and Statistics. 2019;48:1398–1408.
MLA
Singh, Y. Mahendra, et al. “Common Fixed Point Theorems for $(\psi, \varphi)$-Weak Contractive Conditions in Metric Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 5, Oct. 2019, pp. 1398-0, https://izlik.org/JA83BZ42NW.
Vancouver
1.Y. Mahendra Singh, G. A. Hirankumar Sharma, M. R. Singh. Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Oct. 1;48(5):1398-40. Available from: https://izlik.org/JA83BZ42NW