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