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https://research.matf.bg.ac.rs/handle/123456789/1099
Title: | Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications | Authors: | Nashine, Hemant Kumar Kadelburg, Zoran |
Keywords: | Common fixed point;Metric space;Nondecreasing map;Nonexpansive mapping;Partially ordered set | Issue Date: | 1-Jan-2014 | Journal: | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas | Abstract: | We introduce a generalized nonexpansive condition for a map in an ordered metric space and derive fixed point theorems for a nondecreasing mapping. Moreover, common fixed point results are obtained for a pair of mappings satisfying an appropriate nonexpansive condition. To illustrate our results, we give throughout the paper some examples. Applications of the obtained results to integral equations and first-order periodic boundary value problems are presented. © 2013 Springer-Verlag Italia. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1099 | ISSN: | 15787303 | DOI: | 10.1007/s13398-013-0131-9 |
Appears in Collections: | Research outputs |
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