\(S-\gamma-\phi-\varphi\)-contractive type mappings in \(S\)-metric spaces
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2008
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Authors
Mi Zhou
- School of Science and Technology, Sanya College, 572022, Sanya, Hainan, China.
Xiao-lan Liu
- College of Science, Sichuan University of Science and Engineering, 643000, Zigong, Sichuan, China.
- Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing, Zigong, Sichuan 643000, China.
Stojan Radenovic
- Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia.
Abstract
In this paper, we introduce several types of \(S-\gamma-\phi-\varphi\)-contractive mappings which are generalizations of \(\alpha-\psi\) -contractive
mappings [B. Samet, C. Vetro, P. Vetro, Nonlinear Anal., 75 (2012), 2154–2165] in the structure of S-metric spaces. Furthermore, we
prove existence and uniqueness of fixed points and common fixed points of such contractive mappings. Our results generalize,
extend and improve the existing results in the literature. We also state some illustrative examples to support our results.
Share and Cite
ISRP Style
Mi Zhou, Xiao-lan Liu, Stojan Radenovic, \(S-\gamma-\phi-\varphi\)-contractive type mappings in \(S\)-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1613--1639
AMA Style
Zhou Mi, Liu Xiao-lan, Radenovic Stojan, \(S-\gamma-\phi-\varphi\)-contractive type mappings in \(S\)-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(4):1613--1639
Chicago/Turabian Style
Zhou, Mi, Liu, Xiao-lan, Radenovic, Stojan. "\(S-\gamma-\phi-\varphi\)-contractive type mappings in \(S\)-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1613--1639
Keywords
- S-metric space
- \(S-\gamma-\phi-\varphi\)-contractive mappings
- fixed point.
MSC
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