ISSN 2738-0971 | eISSN 2738-1013

EXISTENCE OF INVARIANT POINTS AND APPLICATIONS TO SIMULTANEOUS APPROXIMATION

Authors

Sumit Chandok
School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147004, Punjab, 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.

Published
2022/06/23
Issue
Vol. 12 No. 1 (2022)
Pages
11-14.
Section
Original Scientific Paper

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