Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 1

Approximating fixed points of implicit almost contractions

Pages
93–102
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Our results unify, extend, generalize, enrich and complement a multitude of related fixed point theorems from the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we obtain constructive fixed point theorems for self op- erators in a general class of almost contractions defined by an implicit relation.
📊
Key Findings & Data:In this paper we obtain constructive fixed point theorems for self op- erators in a general class of almost contractions defined by an implicit relation.
💡
Conclusion & Impact:Our results unify, extend, generalize, enrich and complement a multitude of related fixed point theorems from the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we obtain constructive fixed point theorems for self op- erators in a general class of almost contractions defined by an implicit relation. Our results unify, extend, generalize, enrich and complement a multitude of related fixed point theorems from the literature.

🔖

Cite This Article

BERINDE, V. (2022). Approximating fixed points of implicit almost contractions. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 1, 93–102. https://ajindex.com/articles/530493

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Abbas, M. and Ilic, D. Common fixed points of generalized, almost nonexpansive mappings, Filomat 24(3), 11-18, 2010
  2. Abbas, M., Vetro, P. and Khan, S.H. On fixed points of Berinde's contractive mappings in cone metric spaces, Carpathian J. Math. 26(2), 121-133, 2010
  3. Ali, J. and Imdad, M. Unifying a multitude of common fixed point theorems employing an implicit relation, Commun. Korean Math. Soc. 24(1), 41-55, 2009
  4. Aliouche, A. and Djoudi, A. CommoH fixed point theorems for mappings satisfying an implicit relation without decreasing assumption, Hacet. J. Math. Stat. 36(1), 11-18, 2007
  5. Aliouche, A. and Popa, V. General common fixed point theorems for occasionally weakly compatible hybrid mappings and applications, Novi Sad J. Math. 39(1), 89-109, 2009
  6. Babu, G. V. R., Sandhy, M. L. and Kameshwari, M. V. R. A note on a fixed point theorem of Berinde on weak contractions, Carpathian J. Math. 24(1), 8-12, 2008
  7. Berinde, V. On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19(1), 7-22, 2003
  8. Berinde, V. Approximating fixed points of weak _____p-contractions, Fixed Point Theory 4 (2), 131-142, 2003
  9. Berinde, V. Approximation fixed points of weak contractions using the Picard iteration, Nonlinear Analysis Forum, 9 (1), 43-53, 2004
  10. Berinde, V. Error estimates for approximating fixed points of quasi contractions, General Math. 13(2), 23Û-34, 2005
  11. Berinde, V. Iterative Approximation of Fixed Points (Springer, Berlin, Heidelberg, New York, 2007)
  12. Berinde, V. General constructive fixed point theorems for Ciric-type almost contractions in metric spaces, Carpathian J. Math. 24(2), 10-19, 2008
  13. Berinde, V. Some remarks on a fixed point theorem for Ciric-type almost contractions, Carpathian J. Math. 25(2), 157-162, 2009
  14. Berinde, V. Approximating common fixed points of noncommuting almost contractions in metric spaces, Fixed Point Theory 11 (2), 179-188, 2010
  15. Berinde, V. Common fixed points of noncommuting almost contractions in cone metric spaces, Math. Commun. 15(1), 229-241, 2010
  16. Berinde, V. Stability of Picard iteration for contractive mappings satisfying an implicit relation, Carpathian J. Math. 27(1), 13-23, 2011
  17. Chatterjea, S. K. Fixed-point theorems, C. R. Acad. Bulgare Sci. 25, 727-730, 1972
  18. Di Bari, C. and Vetro, P. Weakly 4>-pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo (2) 58(1), 125-132, 2009