On \((\alpha, p)\)-convex contraction and asymptotic regularity
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Authors
M. S. Khan
- Department of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, PCode 123 Al-Khod, Muscat, Sultanate of Oman, Oman
Y. Mahendra Singh
- Department of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795001, India
Georgeta Maniu
- Department of Computer Science, Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bucuresti Bvd., No. 39, 100680 Ploiesti, Romania
Mihai Postolache
- China Medical University, Taichung, Taiwan
Abstract
In this paper, we present the notions of \((\alpha, p)\)-convex
contraction (resp. \((\alpha, p)\)-contraction) and asymptotically
\(T^2\)-regular (resp. \((T, T^2)\)-regular) sequences, and prove fixed
point theorems in the setting of metric spaces.
Share and Cite
ISRP Style
M. S. Khan, Y. Mahendra Singh, Georgeta Maniu, Mihai Postolache, On \((\alpha, p)\)-convex contraction and asymptotic regularity, Journal of Mathematics and Computer Science, 18 (2018), no. 2, 132--145
AMA Style
Khan M. S., Singh Y. Mahendra, Maniu Georgeta, Postolache Mihai, On \((\alpha, p)\)-convex contraction and asymptotic regularity. J Math Comput SCI-JM. (2018); 18(2):132--145
Chicago/Turabian Style
Khan, M. S., Singh, Y. Mahendra, Maniu, Georgeta, Postolache, Mihai. "On \((\alpha, p)\)-convex contraction and asymptotic regularity." Journal of Mathematics and Computer Science, 18, no. 2 (2018): 132--145
Keywords
- Approximate fixed point
- fixed point
- \((\alpha
- p)\)-convex contraction
- asymptotically regular sequence
- asymptotically \(T\) (resp. \(T^2\) and \((T
- T^2)\))-regular sequences
MSC
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