A short note on the common fixed points of the Geraghty contraction of type E S,T

• Autorzy: Alqahtani, B. , Fulga, A. , Karapınar, E.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we propose a new contraction type for two self-mappings and investigate the necessary conditions for the existence and uniqueness of coincidence points and common fixed points, respectively. We put some examples to illustrate our main results.

Słowa kluczowe

PL

kontrakcja typu Geraghty'ego; kontrakcja

EN

Geraghty type contraction; E-contraction; Geraghty contraction of type E S,T

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 233--240
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Alqahtani, B.

• Department of Mathematics, King Saud University, Riyadh, Saudi Arabia,

autor

Fulga, A.

• Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, Brasov, Romania,

autor

Karapınar, E.

• Atilim University, Department of Mathematics, 06836, İncek, Ankara, Turkey,

Bibliografia

• [1] Geraghty M., On contractive mappings, Proc. Amer. Math. Soc., 1973, 40, 604-608
• [2] Banach S., Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundam. Math., 1922, 3, 133-181
• [3] Cho S.-H., Bae J.-S., Karapınar E., Fixed point theorems for α-Geraghty contraction type maps in metric spaces, Fixed Point Theory Appl., 2013, Art. ID 329
• [4] Fulga A., Proca A., Fixed point for φE–Geraghty contractions, J. Nonlinear Sci. Appl., 2017, 10(9), 5125-5131
• [5] Karapınar E., Edelstein type fixed point theorems, Fixed Point Theory Appl., 2012, Art. ID 107
• [6] Karapınar E., Weak φ–contraction on partial metric spaces, J. Comput. Anal. Appl., 2012, 14, 206-210
• [7] Zhang Q., Song Y., Fixed point theory for generalized φ–weak contractions, Appl. Math. Lett., 2009, 22(1), 75-78

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Identyfikatory

DOI

10.1515/dema-2018-0019