SavedAdd your journal

Journals / Constructive Mathematical Analysis / 2019 / Cilt: 2 - Sayı: 1

Some Presic Type Results in $b-$Dislocated Metric Spaces

A. Som BABU
Tatjana DOSENOVIC
Md. Mustaq ALI
Stojan RADENOVIC
K. P. R. RAO
Pages
40–48
Publication Date
2019-03-01
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)

Further, we obtain two more corollaries.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we obtain a Pre\v{s}i\'{c} type common fixed point theorem for four maps in $b$-dislocated metric spaces.
📊
Key Findings & Data:We also present one example to illustrate our main theorem.
💡
Conclusion & Impact:Further, we obtain two more corollaries.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:b - Dislocated metric spaces · Jointly 2k - weakly compatible pairs · Pre\v{s}i\'{c} type theorem

Abstract

In this paper, we obtain a Pre\v{s}i\'{c} type common fixed point theorem for four maps in $b$-dislocated metric spaces. We also present one example to illustrate our main theorem. Further, we obtain two more corollaries.

🔖

Cite This Article

BABU, A. S., DOSENOVIC, T., ALI, M. M., RADENOVIC, S., RAO, K. P. R. (2019). Some Presic Type Results in $b-$Dislocated Metric Spaces. Constructive Mathematical Analysis, Cilt: 2 - Sayı: 1, 40–48. https://ajindex.com/articles/748945

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. M. Abbas, D. Ilic, T. Nazir, Iterative Approximation of Fixed Points of Generalized Weak Prešic Type k-Step Iterative Method for a Class of Operators, Filomat, 29 (4) (2015) 713-724
  2. R. George, KP Reshma and R. Rajagopalan, A generalised fixed point theorem of Prešic type in cone metric spaces and application to Markov process, Fixed Point Theory Appl., 2011, 2011:85
  3. Z. Kadelburg, S. Radenovic, Notes on Some Recent Papers Concerning F-Contractions in b-Metric Spaces, Constr. Math. Anal., 1(2) (2018), 108-112
  4. E. Karapinar, A Short Survey on the Recent Fixed Point Results on b-Metric Spaces, Constr. Math. Anal., 1(1)(2018) 15-44
  5. A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl. 2012, 2012:204 [6] P. Hitzler and A. K. Seda, Dislocated topologies, J. Electr. Eng., 51(12) (2000) 3-7
  6. N. Hussain, J. R. Roshan, V. Parvaneh and M. Abbas, Common fixed point results for weak contractive mappings on ordered b-dislocated metric spaces with applications, J. Inequal. Appl., 2013, 2013:486 [8] Lj. B. Ciric and S. B. Prešic, On Prešic type generalization of Banach contraction mapping principle, Acta Math. Univ. Comenianae, LXXVI(2) (2007) 143-147
  7. M. Pacurar, Approximating common fixed points of Prešic-Kannan type operators by a multi-step iterative method, An. St. Univ. Ovidius Constanta, 17(1) (2009) 153-168
  8. S. B. Prešic, Sur une classe d’inequations aux differences finite et sur la convergence de certaines suites, Publications de l’Institut Mathématique, 5(19) (1965) 75-78
  9. K. P. R. Rao, G. N. V. Kishore and Md. Mustaq Ali, Generalization of Banach contraction principle of Prešic type for three maps, Math. Sci., 3(3) (2009) 273 - 280
  10. K. P. R. Rao, Md. Mustaq Ali and B.Fisher, Some Preši´c type generalization of Banach contraction principle, Math. Moravica 15 (2011) 41 - 47
  11. P. Salimi, N. Hussain, S. Shukla, Sh. Fathollahi, S. Radenovic, Fixed point results for cyclic $\alpha -\psi \phi -$ contractions with applications to integral equations, J. Comput. Appl. Math., 290 (2015) 445-458
  12. S. Shukla, S. Radenovic, S. Pantelic, Some Fixed Point Theorems for Prešic-Hardy-Rogers Type Contractions in Metric Spaces, Journal of Mathematics, (2013) ArticleID 295093
  13. S. Shukla, S. Radenovic, V.C. Rajic, Some common fixed point theorems in $\sigma -$complete metric-like spaces, Vietnam J. Math., 41 (2013) 341-352.