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.
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