Coincidence and fixed points for maps on topological spaces |
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Authors: | Ljubomir ?iri? |
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Institution: | Faculty of Mechanical Engineering, Kraljice Marije 16, 11000 Belgrade, Serbia |
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Abstract: | The existence of coincidence and fixed points for continuous mappings on pseudo-compact completely regular topological spaces are proved. Our results are different from known, or are generalizations, extensions and improvements of the corresponding results due to Jungck, Liu and Liu et al. Further, the Edelstein result for contractive mappings is extended to Hausdorff (not necessarily completely regular) topological spaces and generalized in many aspects. An example is presented to show that our results are genuine generalizations of the Edelstein result. |
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Keywords: | Coincidence Fixed point Completely regular topological spaces Pseudo-compact space |
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