Fixed point and common fixed point theorems on ordered cone \(b\)-metric space over Banach algebra
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Authors
Sharafat Hussain
- Department Mathematics, Quaid i Azam University, Islamabad, Pakistan.
- Department of Mathematics, Women University of Azad Jammu and Kashmir Bagh, AJK, Pakistan.
Abstract
In this work, we obtain some fixed point and common fixed point theorems of comparable maps satisfying certain contractive conditions on partially ordered cone b-metric space over Banach algebras. Some examples are also provided to illustrate the main results presented in this paper, which extend and generalize several known results in cone b-metric spaces.
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ISRP Style
Sharafat Hussain, Fixed point and common fixed point theorems on ordered cone \(b\)-metric space over Banach algebra, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 1, 22--33
AMA Style
Hussain Sharafat, Fixed point and common fixed point theorems on ordered cone \(b\)-metric space over Banach algebra. J. Nonlinear Sci. Appl. (2020); 13(1):22--33
Chicago/Turabian Style
Hussain, Sharafat. "Fixed point and common fixed point theorems on ordered cone \(b\)-metric space over Banach algebra." Journal of Nonlinear Sciences and Applications, 13, no. 1 (2020): 22--33
Keywords
- Fixed point
- partially ordered set
- cone b-metric space
- Banach algebra
MSC
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