SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 1

Fixed points of multivalued mapping satisfying ciric type contractive conditions in g-metric spaces

Mujahid ABBAS
Talat NAZIR
B. E ROADESZ
Pages
21–29
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)

Since every symmetric generalized metric reduces to an ordinary metric, we give a new example of a non- symmetric generalized metric to justify the study of xed point theory in generalized metric spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, study of necessary conditions for existence of xed point of multivalued mappings satisfying Ciric type contractive conditions in the setting of generalized metric spaces is initiated.
📊
Key Findings & Data:Examples to support our results are presented.
💡
Conclusion & Impact:Since every symmetric generalized metric reduces to an ordinary metric, we give a new example of a non- symmetric generalized metric to justify the study of xed point theory in generalized metric spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, study of necessary conditions for existence of xed point of multivalued mappings satisfying Ciric type contractive conditions in the setting of generalized metric spaces is initiated. Examples to support our results are presented. Since every symmetric generalized metric reduces to an ordinary metric, we give a new example of a non- symmetric generalized metric to justify the study of xed point theory in generalized metric spaces.

🔖

Cite This Article

ABBAS, M., NAZIR, T., ROADESZ, B. E. (2022). Fixed points of multivalued mapping satisfying ciric type contractive conditions in g-metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 1, 21–29. https://ajindex.com/articles/530404

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Abbas, M. and Rhoades, B. E. Common xed point results for non-commuting mappings without continuity in generalized metric spaces, Appl. Math. and Computation 215, 262{ 269, 2009
  2. Abbas, M., Rhoades, B. E. and Nazir T. Some periodic point results in generalized metric spaces, Appl. Math. and Computation 217, 4094-4099, 2010
  3. Ciric, Lj.Generalized contractions and xed-point theorems, Publ. Inst. Math. 12 (26), 19-26, 1971
  4. Kannan, R. Some results on xed points, Bull. Calcutta, Math. Soc. 60, 71{76, 1968
  5. Latif, A. and Beg, I. Geometric xed points for single and multivalued mappings, Demons. Math., 30 (4), 791{800, 1997
  6. Matkowski, J. Fixed point theorems for mappings with a contractive iterate at a point, Pro- ceedings of the American Mathematical Society, 62(2), 344-348, 1977
  7. Rus, I. A., Petrusel A. and Sintamarian A. Data dependence of xed point set of some multivalued weakly Picard operators, Nonlinear Analysis 52, 1944-1959, 2003
  8. Saadati, R., Vaezpour, S. M., Vetro, P. and Rhoades, B. E. Fixed point theorems in generalized partially ordered G- metric spaces, Mathematical and Computer Modelling, in press, 2010
  9. Mustafa, Z. and Sims, B. Some remarks concerning D- metric spaces, Proc. Int. Conf. on Fixed Point Theory and Applications, Valencia (Spain), 189{198, 2003
  10. Mustafa, Z. and Sims, B. A new approach to generalized metric spaces, J. of Nonlinear and Convex Analysis, 7 (2), 289{297, 2006
  11. Mustafa, Z., Obiedat, H. and Awawdehand, F. Some xed point theorem for mapping on complete G- metric spaces, Fixed Point Theory Appl., 2008, Article ID 189870, 12 pages
  12. Mustafa, Z. and Sims, B. Fixed point theorems for contractive mapping in complete G- metric spaces, Fixed Point Theory Appl., Article ID 917175, 10 pages, 2009
  13. Rus, I. A., Petrusel, A. and Sintamarian, A. Data dependence of xed point set of some multivalued weakly Picard operators, Nonlinear Analysis 52, 1944{1959, 2003
  14. Saadati, R., Vaezpour, S. M., Vetro, P. and Rhoades, B. E. Fixed point theorems in generalized partially ordered G- metric spaces, Math. and Comp. Modelling, 52 (5-6), 797{801, 2010.