Quadruple fixed point theorems under (\(\varphi,\psi\))-contractive conditions in partially ordered \(G\)-metric spaces with mixed \(g\)-monotone property
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Authors
Jianhua Chen
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Xianjiu Huang
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Abstract
In this paper, we prove some quadruple coincidence and quadruple fixed point theorems for (\(\varphi,\psi\))-contractive
type mappings in partially ordered G-metric spaces with mixed g-monotone property. The results on fixed
point theorems are generalizations of some results obtained by Mustafa [Z. Mustafa, Fixed Point Theory
Appl., 2012 (2012), 22 pages]. We also give an example to support our results.
Share and Cite
ISRP Style
Jianhua Chen, Xianjiu Huang, Quadruple fixed point theorems under (\(\varphi,\psi\))-contractive conditions in partially ordered \(G\)-metric spaces with mixed \(g\)-monotone property, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 285--300
AMA Style
Chen Jianhua, Huang Xianjiu, Quadruple fixed point theorems under (\(\varphi,\psi\))-contractive conditions in partially ordered \(G\)-metric spaces with mixed \(g\)-monotone property. J. Nonlinear Sci. Appl. (2015); 8(4):285--300
Chicago/Turabian Style
Chen, Jianhua, Huang, Xianjiu. "Quadruple fixed point theorems under (\(\varphi,\psi\))-contractive conditions in partially ordered \(G\)-metric spaces with mixed \(g\)-monotone property." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 285--300
Keywords
- partially ordered set
- quadruple coincidence
- quadruple fixed point
- G-metric space
- mixed g-monotone property.
MSC
References
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