A fixed point theorem in generalized ordered metric spaces with application
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Authors
Leila Gholizadeh
- Department of Mathematics, Islamic Azad University (IAU)--Science and Research Branch, Tehran, Iran.
Abstract
In this paper, we consider the concept of
\(\Omega\)-distance on a complete, partially ordered \(G\)-metric space and
prove a fixed point theorem for (\(\psi,\phi\))-Weak contraction. Then, we present some applications in integral
equations.
Share and Cite
ISRP Style
Leila Gholizadeh, A fixed point theorem in generalized ordered metric spaces with application, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 4, 244--251
AMA Style
Gholizadeh Leila, A fixed point theorem in generalized ordered metric spaces with application. J. Nonlinear Sci. Appl. (2013); 6(4):244--251
Chicago/Turabian Style
Gholizadeh, Leila. "A fixed point theorem in generalized ordered metric spaces with application." Journal of Nonlinear Sciences and Applications, 6, no. 4 (2013): 244--251
Keywords
- \(\Omega\)-distance
- fixed point
- G-metric space
- (\(\psi
- \phi\))-Weak contraction.
MSC
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