Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1071
Title: Common fixed point theorems for asymptotically regular mappings on ordered orbitally complete metric spaces with an application to systems of integral equations
Authors: Nashine, Hemant Kumar
Kadelburg, Zoran 
Keywords: Asymptotically regular map;Orbital continuity;Orbitally complete metric space;Partially ordered set;Weakly increasing maps
Issue Date: 1-Jan-2016
Journal: Filomat
Abstract: 
In this paper, we prove existence and uniqueness results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps on ordered orbitally complete metric spaces under generalized Φ-contractive condition. Also, we introduce and use orbitally dominating maps and orbitally weakly increasing maps. We furnish suitable examples to demonstrate the usability of the hypotheses of our results. As an application, we prove the existence of solutions for certain system of integral equations.
URI: https://research.matf.bg.ac.rs/handle/123456789/1071
ISSN: 03545180
DOI: 10.2298/FIL1612277N
Appears in Collections:Research outputs

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