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Quasicontraction nonself-mappings on convex metric spaces and common fixed point theorems

Fixed Point Theory and Applications volume 2005, Article number: 930501 (2005) Cite this article

Abstract

We consider quasicontraction nonself-mappings on Takahashi convex metric spaces and common fixed point theorems for a pair of maps. Results generalizing and unifying fixed point theorems of Ivanov, Jungck, Das and Naik, and Ćirić are established.

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Authors and Affiliations

  1. Institute of Mathematics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, 21000, Serbia and Montenegro

    Ljiljana Gajić

  2. Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, Niš, 18000, Serbia and Montenegro

    Vladimir Rakočević

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  1. Ljiljana Gajić
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  2. Vladimir Rakočević
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Correspondence to Ljiljana Gajić.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Gajić, L., Rakočević, V. Quasicontraction nonself-mappings on convex metric spaces and common fixed point theorems. Fixed Point Theory Appl 2005, 930501 (2005). https://doi.org/10.1155/FPTA.2005.365

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  • DOI: https://doi.org/10.1155/FPTA.2005.365