\(C\)-class functions and fixed point theorems for generalized \(\alpha-\eta-\psi-\varphi-F-\)contraction type mappings in \(\alpha-\eta-\)complete metric spaces
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Authors
Arslan Hojat Ansari
- Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, 31485-313, Iran.
Anchalee Kaewcharoen
- Research Center for Academic Excellence in Mathematics, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand.
Abstract
In this paper, we introduce the concept of generalized \(\alpha-\eta-\psi-\varphi-F-\)contraction type mappings where \(\psi\) is
the altering distance function and \(\varphi\) is the ultra altering distance function. The unique fixed point theorems
for such mappings in the setting of \(\alpha-\eta-\)-complete metric spaces are proven. We also assure the fixed point
theorems in partially ordered metric spaces. Moreover, the solution of the integral equation is obtained
using our main result.
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ISRP Style
Arslan Hojat Ansari, Anchalee Kaewcharoen, \(C\)-class functions and fixed point theorems for generalized \(\alpha-\eta-\psi-\varphi-F-\)contraction type mappings in \(\alpha-\eta-\)complete metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4177--4190
AMA Style
Ansari Arslan Hojat, Kaewcharoen Anchalee, \(C\)-class functions and fixed point theorems for generalized \(\alpha-\eta-\psi-\varphi-F-\)contraction type mappings in \(\alpha-\eta-\)complete metric spaces. J. Nonlinear Sci. Appl. (2016); 9(6):4177--4190
Chicago/Turabian Style
Ansari, Arslan Hojat, Kaewcharoen, Anchalee. "\(C\)-class functions and fixed point theorems for generalized \(\alpha-\eta-\psi-\varphi-F-\)contraction type mappings in \(\alpha-\eta-\)complete metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4177--4190
Keywords
- \(\alpha-\eta-\)complete metric spaces
- \(\alpha-\eta-\)continuous mappings
- triangular \(\alpha\)-orbital admissible mappings with respect to \(\eta\)
- C-class functions
- generalized \(\alpha-\eta-\psi-\varphi-F-\)contraction type mappings.
MSC
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