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Prešić Type Nonself Operators and Related Best Proximity Results

Author

Listed:
  • Muhammad Usman Ali

    (Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43260, Pakistan)

  • Misbah Farheen

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan)

  • Tayyab Kamran

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan)

  • Georgeta Maniu

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
    Department of Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bulevardul Bucuresti, No. 39, 100680 Ploiesti, Romania)

Abstract

The purpose of this article is to discuss the existence of best proximity points for Pre s ˇ i c ´ -type nonself operators, say T : A k → B . We also give several examples to support our results. As a consequence of our results, we have provided some interesting formulations of Pre s ˇ i c ´ fixed point results.

Suggested Citation

  • Muhammad Usman Ali & Misbah Farheen & Tayyab Kamran & Georgeta Maniu, 2019. "Prešić Type Nonself Operators and Related Best Proximity Results," Mathematics, MDPI, vol. 7(5), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:394-:d:227322
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    References listed on IDEAS

    as
    1. A. Abkar & M. Gabeleh, 2011. "Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 418-424, November.
    2. Jack Markin & Naseer Shahzad, 2013. "Best Proximity Points for Relatively -Continuous Mappings in Banach and Hyperconvex Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, September.
    3. A. Abkar & M. Gabeleh, 2011. "Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 188-193, July.
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