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Generalized cyclic contractions in partially ordered metric spaces

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Abstract

Abkar and Gabeleh in (J. Optim. Theory. Appl. doi:10.1007/s10957-011-9818-2) proved some theorems which ensure the existence and convergence of fixed points, as well as best proximity points for cyclic mappings in ordered metric spaces. In this paper we extend these results to generalized cyclic contractions and obtain some new results on the existence and convergence of fixed points for weakly contractive mappings, as well as on best proximity points for cyclic φ-contraction mappings in partially ordered metric spaces.

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Authors and Affiliations

  1. Department of Mathematics, Imam Khomeini International University, 34149, Qazvin, Iran

    A. Abkar & M. Gabeleh

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  1. A. Abkar
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  2. M. Gabeleh
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Correspondence to M. Gabeleh.

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Abkar, A., Gabeleh, M. Generalized cyclic contractions in partially ordered metric spaces. Optim Lett 6, 1819–1830 (2012). https://doi.org/10.1007/s11590-011-0379-y

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  • DOI: https://doi.org/10.1007/s11590-011-0379-y

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