Article
The Concept of weak (ψ ,α ,β ) for Some Well Known Fixed Point Theorems
Authors
and
Abstract
Eslamian and Abkar [8] introduced fixed point of the weak- (ψ ,α ,β ) contractive mappings in complete metric space (also see [9]). In this paper we established a generalized concept of the weak-(ψ ,α ,β ) contractive condition depended on another mapping. Thus, we obtained a new generalization of Banach fixed point theorem, Kannan fixed point theorem and Chatterjea fixed point theorem.
Keywords
fixed point, Kannan fixed point theorem, Chatterjea fixed point theorem, contraction mappings
Citation
Kir, M. & Kiziltunc, H. (2015). The concept of weak (ψ ,α ,β ) for some well known fixed point theorems. Journal of Analysis & Number Theory, 3(2), 137–142. https://doi.org/10.18576/jant/030210
M. Kir and H. Kiziltunc, “The concept of weak (ψ ,α ,β ) for some well known fixed point theorems,” Journal of Analysis & Number Theory, vol. 3, no. 2, pp. 137–142, 2015, doi: 10.18576/jant/030210.
Kir M, Kiziltunc H. The concept of weak (ψ ,α ,β ) for some well known fixed point theorems. Journal of Analysis & Number Theory. 2015;3(2):137–142. doi:10.18576/jant/030210.
Kir, M. and Kiziltunc, H. (2015), ‘The concept of weak (ψ ,α ,β ) for some well known fixed point theorems’, Journal of Analysis & Number Theory, 3(2), pp. 137–142. Available at: https://doi.org/10.18576/jant/030210.
Kir, Mehmet, and Hukmi Kiziltunc. “The Concept of Weak (Ψ ,α ,β ) for Some Well Known Fixed Point Theorems.” Journal of Analysis & Number Theory, vol. 3, no. 2, 2015, pp. 137–142. https://doi.org/10.18576/jant/030210.
Kir, Mehmet, and Hukmi Kiziltunc. “The Concept of Weak (Ψ ,α ,β ) for Some Well Known Fixed Point Theorems.” Journal of Analysis & Number Theory 3, no. 2 (2015): 137–142. https://doi.org/10.18576/jant/030210.
Export citation
Published by: Engineering Journals
