A fixed point theorem for ψ_F-Geraghty contraction on metric-like spaces

• Autorzy: Acar Ö. , Altun I.

Identyfikatory

DOI

10.1515/fascmath-2017-0013

• Języki publikacji: EN

Abstrakty

EN

In this paper, we define a new type Geraghty type contraction, ψ_F-Geraghty contraction, and prove a fixed point theorem for this type contraction and give an illustrative example.

Słowa kluczowe

EN

fixed point; ψF-Geraghty contraction; metric like space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 59
• Strony: 5--12
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Acar Ö.

• Department of Mathematics, Faculty of Science and Arts, Mersin University, 33343,Yenişehir, Mersin, Turkey

autor

Altun I.

• Department of Mathematics, Faculty of Science and Arts, Kırıkkale University, 71450, Yahşihan, Kırıkkale, Turkey
• Department of Mathematics, College of Science, King Saud University, 11451, Riyadh, Saudi Arabia

Bibliografia

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• [2] Aydi H., Felhi A., Afshari H., New Geraghty type contractions on metric like spaces, J. Nonlinear Sci. Appl., 10(2017), 780-788.
• [3] Aydi H., Felhi A., Sahmim S., A Suzuki fixed point theorem for generalized multivalued mappings on metric-like spaces, Glasnik Mathematicki, 52(72)(2017), 147-161.
• [4] Aydi H., Felhi A., On best proximity points for various α-proximal contractions on metric-like spaces, J. Nonlinear Sci. Appl., 9(2016), 5202-5218.
• [5] Aydi H., Felhi A., Best proximity points for cyclic Kannan-Chatterjea-Ciric type contractions on metric-like spaces, J. Nonlinear Sci. Appl., 9(2016), 2458-2466.
• [6] Aydi H., Karapinar E., Salimi P., Erhan I.M., Best proximity points of generalized almost ψ-Geraghty contractive non-self mappings, Fixed Point Theory and Applications, 2014, 2014:32.
• [7] Aydi H., Felhi A., Sahmim S., Common fixed points via implicit contractions on b-metric-like spaces, J. Nonlinear Sci. Appl., 10(4)(2017), 1524-1537.
• [8] Aydi H., Karapinar E., Fixed point results for generalized α-ψ-contractions in metric-like spaces and applications, Electronic Journal of Differential Equations, 133(2015), 1-15.
• [9] Karapinar E., Salimi P., Dislocated metric space to metric spaces with some fixed point theorems, Fixed Point Theory Appl., 2013(2013), 19 pages.
• [10] Karapiınar E., Alsulami H.H., Noorwali M., Some extensions for Geragthy type contractive mappings, Fixed Point Theory Appl., 2015(2015), 22 pages.