SavedAdd your journal

Journals / Manas Journal of Engineering / 2022 / Cilt: 10 - Sayı: 2

On (α,φ)-weak Pata contractions

Merve AKTAY
Murat ÖZDEMİR
Pages
222–234
Publication Date
2022-12-31
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)

Consequently, the obtained results encompass several results in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions.
📊
Key Findings & Data:Also, we give an example related to (α,φ)-weak Pata contractive mappings via simulation function.
💡
Conclusion & Impact:Consequently, the obtained results encompass several results in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fixed point · pata contraction · φ-weak contraction

Abstract

In this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions. Also, we give an example related to (α,φ)-weak Pata contractive mappings via simulation function. Our results generalize some Pata-type contractions and Banach contractions. Consequently, the obtained results encompass several results in the literature.

🔖

Cite This Article

AKTAY, M., ÖZDEMİR, M. (2022). On (α,φ)-weak Pata contractions. Manas Journal of Engineering, Cilt: 10 - Sayı: 2, 222–234. https://ajindex.com/articles/861081

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. Alber Ya.I., Guerre-Delabriere S., "Principle of weakly contractive maps in Hilbert spaces", in: I. Gohberg, Yu. Lyubich (Eds.), New Results in Theory Operator Theory, in Advances and Appl., Birkhauser, Basel 98, (1997), 7-22
  2. Aktay M., Özdemir M., "Common fixed point results for a class of (α,β)-Geraghty contraction type mappings in modular metric spaces", Erzincan University Journal of Science and Technology, 13 (Special Issue-I), (2020), 150-161
  3. Aktay M., Özdemir M., "Some results on generalized Pata--Suzuki type contractive mappings", Journal of Mathematics, (2021), Article ID 2975339, 9
  4. Asl J.H., Rezapour S., Shahzad N, "On fixed points of α-ψ-contractive multifunctions", Fixed Point Theory Appl., (2012), 212
  5. Argoubi H., Samet B., Vetro C., "Nonlinear contractions involving simulation functions in a metric space with a partial order", J. Nonlinear Sci. Appl., 8, (2015), 1082-1094
  6. Balasubramanian S., "A Pata-type fixed point theorem", Math. Sci., 8, (2014), 65-69
  7. Banach S., "Sur les opérationes dans les ensembles abstraits et leur application aux équation intégrales", Fundam. Math., 3, (1922), 133-181
  8. Beg I., Azam A., "Fixed points of asymptotically regular multivalued mappings", J. Austral. Math. Soc. (Series-A), 53, (1992), 313-326
  9. Chakraborty M., Samanta S.K., "On a fixed point theorem for a cyclical Kannan-type mapping", Facta Univ. Ser. Math. Inform., 28, (2013), 179-188
  10. Eshaghi M., Mohsen S., Delavar M.R., De La Sen M., Kim G.H., Arian, A., "Pata contractions and coupled type fixed points", Fixed Point Theory Appl., 1, (2014), 130
  11. Hong S.H., "Fixed points of multivalued operators in ordered metric spaces with applications", Nonlinear Anal., 72, (2009), 3929-3942
  12. Kadelburg Z., Radenovic S., "Fixed point theorems under Pata-type conditions in metric spaces", J. Egypt. Math. Soc., 24, (2016), 77-82
  13. Karapınar E., Kumam P., Salimi P., "On α-ψ-Meir-Keeler contractive mappings", Fixed Point Theory and Applications, 94, (2013)
  14. Karapınar E., "Fixed points results via simulation functions", Filomat, 30(8), (2016), 2343-2350
  15. Khojasteh F., Shukla S., Radenovic S., "A new approach to the study of fixed point theorems via simulation functions", Filomat, 29(6), (2015), 1189-1194
  16. Kolagar S.M., Ramezani M., Eshaghi M., "Pata type fixed point theorems of multivalued operators in ordered metric spaces with applications to hyperbolic differential inclusions", U.P.B. Sci. Bull., Seri