Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces
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Authors
Jamal Rezaei Roshan
- Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Vahid Parvaneh
- Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
Zoran Kadelburg
- Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia.
Abstract
The aim of this paper is to present some common fixed point theorems for g-weakly isotone increasing
mappings satisfying a generalized contractive type condition under a continuous function in the framework
of ordered b-metric spaces. Our results extend the results of Nashine et al. [H. K. Nashine, B. Samet,
C. Vetro, Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces,
Math. Comput. Modelling 54 (2011) 712-720] from the context of ordered metric spaces to the setting of
ordered b-metric spaces. Moreover, some examples of applications of the main result are given. Finally, we
establish an existence theorem for a solution of an integral equation.
Share and Cite
ISRP Style
Jamal Rezaei Roshan, Vahid Parvaneh, Zoran Kadelburg, Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 4, 229--245
AMA Style
Roshan Jamal Rezaei, Parvaneh Vahid, Kadelburg Zoran, Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces. J. Nonlinear Sci. Appl. (2014); 7(4):229--245
Chicago/Turabian Style
Roshan, Jamal Rezaei, Parvaneh, Vahid, Kadelburg, Zoran. "Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces." Journal of Nonlinear Sciences and Applications, 7, no. 4 (2014): 229--245
Keywords
- Common xed point
- b-metric space
- partially ordered set
- weakly isotone increasing mappings.
MSC
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