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INVARIANT POINTS AND Δ-APPROXIMATIONS FOR MAPPINGS SATISFY-ING RATIONAL-TYPE CONTRACTIVE CONDITIONS IN TAKAHASHI SPACES


SUMIT CHANDOK 1 AND T. D. NARANG 2
1. School of Mathematics, Thapar Institute of Engineering Technology, Patiala-147004, INDIA e-mail: sumit.chandok@thapar.edu
2. Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, INDIA e-mail: tdnarang1948@yahoo.co.in

Issue:

SSRSMI, Number 2, Volume XXXI

Section:

Volume 31, Number 2

Abstract:

In this paper, we prove some Brosowski-Meinardus type invariant point results for the set of Δ-simultaneous approximation and Δ-simultaneous coapproximation for rational type contraction mappings defined on Takahashi spaces. Subsequently, we deduce some re-sults on Δ-approximation, Δ-coapproximation, best approximation and best co-approximation for such class of mappings.

Keywords:

Δ-simultaneous approximatively compact set, starshaped set, best approximation, best simultaneous approximation, Δ-simultaneous approximation.

Code [ID]:

SSRSMI202102V31S01A0008 [0005410]

Note:

Full paper:

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