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Fixed points of Ćirić-Matkowski-type contractions in \(\nu \)-generalized metric spaces

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, fixed point theorems for Ćirić-Matkowski-type contractions in \(\nu \)-generalized metric spaces are presented. Then, by replacing the distance function d(x, y) with function of the form \(m(x,y)=d(x,y)+\gamma \bigl (d(x,Tx)+d(y,Ty)\bigr )\), where \(\gamma >0\), results analogue to those due to Proinov (Nonlinear Anal 64:546–557, 2006) are obtained. An example is provided to demonstrate a possible usage of these results.

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Acknowledgments

The authors express their sincere gratitude to the anonymous referees for their careful reading and suggestions that improved the presentation of this paper. The second author is grateful to the Ministry of Education, Science and Technological Development of Serbia, Grant No. 174002.

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Authors and Affiliations

  1. School of Mathematics and Computer Sciences, Damghan University, P.O.B. 36715-364, Damghan, Iran

    Mortaza Abtahi

  2. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Beograd, Serbia

    Zoran Kadelburg

  3. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Stojan Radenović

  4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Stojan Radenović

Authors
  1. Mortaza Abtahi
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  2. Zoran Kadelburg
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  3. Stojan Radenović
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Correspondence to Zoran Kadelburg.

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Abtahi, M., Kadelburg, Z. & Radenović, S. Fixed points of Ćirić-Matkowski-type contractions in \(\nu \)-generalized metric spaces. RACSAM 111, 57–64 (2017). https://doi.org/10.1007/s13398-016-0275-5

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  • DOI: https://doi.org/10.1007/s13398-016-0275-5

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