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Global Optimal Solutions of Noncyclic Mappings in Metric Spaces

Author

Listed:
  • A. Abkar

    (Imam Khomeini International University)

  • M. Gabeleh

    (Imam Khomeini International University)

Abstract

We study some minimization problems for noncyclic mappings in metric spaces. We then apply the solution to obtain some results in the theory of analytic functions.

Suggested Citation

  • A. Abkar & M. Gabeleh, 2012. "Global Optimal Solutions of Noncyclic Mappings in Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 153(2), pages 298-305, May.
    • Handle: RePEc:spr:joptap:v:153:y:2012:i:2:d:10.1007_s10957-011-9966-4
    DOI: 10.1007/s10957-011-9966-4
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    References listed on IDEAS

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    1. S. Sadiq Basha, 2011. "Best proximity points: global optimal approximate solutions," Journal of Global Optimization, Springer, vol. 49(1), pages 15-21, January.
    2. 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.
    3. N. Shahzad & S. Sadiq Basha & R. Jeyaraj, 2011. "Common Best Proximity Points: Global Optimal Solutions," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 69-78, January.
    4. 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.
    5. S. Sadiq Basha, 2011. "Best Proximity Points: Optimal Solutions," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 210-216, October.
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    Citations

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    Cited by:

    1. Bessem Samet, 2013. "Some Results on Best Proximity Points," Journal of Optimization Theory and Applications, Springer, vol. 159(1), pages 281-291, October.
    2. Moosa Gabeleh, 2015. "Best Proximity Point Theorems via Proximal Non-self Mappings," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 565-576, February.
    3. Moosa Gabeleh, 2013. "Proximal Weakly Contractive and Proximal Nonexpansive Non-self-Mappings in Metric and Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 158(2), pages 615-625, August.
    4. Poom Kumam & Chirasak Mongkolkeha, 2019. "Global Optimization for Quasi-Noncyclic Relatively Nonexpansive Mappings with Application to Analytic Complex Functions," Mathematics, MDPI, vol. 7(1), pages 1-8, January.

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