Journals / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 2

Some Fixed Point Results on Complex Valued Sb-Metric Spaces

Pages
10–21
Publication Date
2022-10-19
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)

A common fixed point theorem for two self-mappings on acomplete complex valued Sb-metric space is also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:More recently, the notion of a complex valued Sb-metric space has been introduced and studied.
📊
Key Findings & Data:In thispaper, we investigate some basic properties of this new space.
💡
Conclusion & Impact:A common fixed point theorem for two self-mappings on acomplete complex valued Sb-metric space is also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

More recently, the notion of a complex valued Sb-metric space has been introduced and studied. In thispaper, we investigate some basic properties of this new space. We study some fixed point results on acomplete complex valued Sb-metric space. A common fixed point theorem for two self-mappings on acomplete complex valued Sb-metric space is also given.

🔖

Cite This Article

TAŞ, N., ÖZGÜR, N. Y., MLAIKI, N. (2022). Some Fixed Point Results on Complex Valued Sb-Metric Spaces. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 2, 10–21. https://ajindex.com/articles/578873

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Aghajani, A., Abbas, M. J. and Roshan, R., Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces, Filomat, 28(2014), no.6, 1087-1101
  2. An, T. V., Dung, N. V. and Hang, V. T. L., A new approach to fixed point theorems on G-metric spaces, Topology Appl., 160(2013), no.12, 1486-1493
  3. Azam, A., Fisher, B. and Khan, M., Common fixed point theorems in complex valued metric spaces, Number. Funct. Anal. Optim., 32(2011), 243-253
  4. Bakhtin, I. A., The contraction mapping principle in quasimetric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst., 30(1989), 26-37
  5. Dubey, A. K., Shukla, R. and Dubey, R. P., Some fixed point theorems in complex valued b-metric spaces, Journal of Complex Systems, (2015), Article ID: 832467, 7 pages
  6. Dung, N. V., Hieu, N. T. and Radojevic, S., Fixed point theorems for g-monotone maps on partially ordered S-metric spaces, Filomat, 28(2014), no.9, 1885-1898
  7. Ege, Ö., Complex valued Gb-metric spaces, J. Computational Analysis and Applications, 21(2016), no.2, 363-368
  8. Mlaiki, N. M., Common fixed points in complex S-metric space, Adv. Fixed Point Theory, 4(2014), no.4, 509-524
  9. Mlaiki, N. and Rohen, Y., Some coupled fixed point theorems in partially ordered Ab-metric space, J. Nonlinear Sci. Appl., 10(2017), 1731-1743
  10. Mohanta, S. K., Some fixed point theorems in G-metric spaces, An. ¸Stiint. Univ. "Ovidius" Constanta Ser. Mat., 20(2012), no.1, 285-305
  11. Muhkeimer, A. A., Some common fixed point theorems in complex valued b-metric spaces, The Scientific Worl Journal, (2014) Article ID: 587825, 6 pages
  12. Mustafa, Z. and Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2006), no.2, 289-297
  13. Nashine, H. K., Imdad, M. and Hasan, M., Common fixed point theorems under rational contractions in complex valued metric spaces, J. Nonlinear Sci. Appl., 7(2014), 42-50
  14. Özgür, N. Y. and Ta¸s, N., Some fixed point theorems on S-metric spaces, Mat. Vesnik, 69(2017), no.1, 39-52
  15. Özgür, N. Y. and Ta¸s, N., Some new contractive mappings on S-metric spaces and their relationships with the mapping (S25), Math. Sci., 11(2017), no.1, 7-16
  16. Özgür, N. Y. and Ta¸s, N., Some generalizations of fixed point theorems on S-metric spaces, Essays in Mathematics and Its Applications in Honor of Vladimir Arnold, New York, Springer, 2016
  17. Priyobarta, N., Rohen, Y. and Mlaiki, N., Complex valued Sb-metric spaces, J. Math. Anal., 8(