EXISTENCE OF INVARIANT POINTS AND APPLICATIONS TO SIMULTANEOUS APPROXIMATION

  • Sumit Chandok School of Mathematics, Thapar Institute of Engineering Technology, Patiala-147004, India
  • T. D. Narang Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, India
Keywords: ε-simultaneous approximatively compact set, Starshaped set, Best approximation, Best simultaneous approximation, ε-simultaneous approximation

Abstract


For the set of ε-simultaneous approximation and ε-simultaneous coapproximation, we derive certain BrosowskiMeinardus type invariant point results in this paper. As a consequence, some results on ε-approximation, εcoapproximation, best approximation, and best coapproximation are also deduced.

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Published
2022/06/23
Section
Original Scientific Paper