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On Best Approximations for Set-Valued Mappings in G -convex Spaces

Author

Listed:
  • Zoran D. Mitrović

    (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam)

  • Azhar Hussain

    (Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan)

  • Manuel de la Sen

    (Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940, Leioa, 48940 Bizkaia, Spain)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia)

Abstract

In this paper we obtain a best approximations theorem for multi-valued mappings in G -convex spaces. As applications, we derive results on the best approximations in hyperconvex and normed spaces. The obtain results generalize many existing results in the literature.

Suggested Citation

  • Zoran D. Mitrović & Azhar Hussain & Manuel de la Sen & Stojan Radenović, 2020. "On Best Approximations for Set-Valued Mappings in G -convex Spaces," Mathematics, MDPI, vol. 8(3), pages 1-7, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:347-:d:328338
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    References listed on IDEAS

    as
    1. A. Carbone, 1992. "An application of KKM-map principle," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-3, January.
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