Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

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

Pages
1398–1408
Publication Date
2019-10-08
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Illustrative examples are also furnished to justify the validity of our results.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:Illustrative examples are also furnished to justify the validity of our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:altering distance function · $(\psi · \varphi)$-weak contractive conditions

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.

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Cite This Article

SİNGH, Y. M., SHARMA, G. A. H., SİNGH, M. R. (2019). Common fixed point theorems for $(\psi, \varphi)$-weak contractive conditions in metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1398–1408. https://ajindex.com/articles/669340

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References (16)

  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
  2. M. Abbas and D. Doric, Common fixed point theorem for four mappings satisfying generalized weak contractive conditions, Filomat 24 (2), 1-10, 2010
  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. 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. 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. 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. 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. 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
  9. D. Doric, Common fixed point for generalized $(\psi, \varphi)$-weak contractions, Appl. Math. Lett. 22, 1896-1900, 2009
  10. P.N. Dutta and B.S. Choudhury, A generalization of contraction principle in metric spaces, Fixed Point Theory Appl. 2008, 8 pages, 2008
  11. M. Imdad, S. Chouhan and Z. Kadelburg, Fixed point theorems for mappings with common limit range property satisfying generalized $(\psi, \varphi)$-weak contractive conditions, Math. Sci., 7 (16), 1-8, 2013
  12. M. Imdad, B.D. Pant and S. Chouhan, Fixed point theorems in Menger spaces using the $(CRL_ST)$ property and applications, J. Nonlinear Anal. Optm. 3 (2), 225-237, 2012
  13. G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly 83, 261-263, 1976
  14. G. Jungck, Compatible mappigs and common fixed points, Int. J. Math. Math. Sci. 9, 771-779, 1986
  15. G. Jungck and B.E. Rhoades, Fixed points for set-valued functions without continuity, Indian J. Pure Appl. Math. 29 (3), 227-238, 1998
  16. M.S. Khan, M. Swaleh and S. Sessa, Fixed point theorems by altering distances between the points, Bull. Aust. Math. Soc. 30 (1), 1