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
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.