Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1064
Title: Implicit relations related to ordered orbitally complete metric spaces and applications
Authors: Nashine, Hemant Kumar
Kadelburg, Zoran 
Keywords: Common fixed point;Dynamic programming;Orbitally complete metric space;Ordered metric space;System of integral equations
Issue Date: 1-Apr-2017
Journal: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Abstract: 
In this study, the notions of asymptotically regular mappings and orbitally continuity are used to prove common fixed point results for four mappings satisfying an implicit relation involving a control function on an ordered orbitally complete metric space. A common fixed point theorem for four finite families of self mappings is presented as an application of the proposed results. We furnish suitable examples to demonstrate the validity of the hypotheses of our results which can fail if some of these condition is missing. It is also verified that the proposed results have an important role to derive applications to certain systems of integral equations. The existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming are also presented as another application.
URI: https://research.matf.bg.ac.rs/handle/123456789/1064
ISSN: 15787303
DOI: 10.1007/s13398-016-0303-5
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