Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces

Volume 7, Issue 4, pp 229--245 http://dx.doi.org/10.22436/jnsa.007.04.01

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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.

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Keywords

• Common xed point
• b-metric space
• partially ordered set
• weakly isotone increasing mappings.

MSC

•  47H10
•  54H25

References

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