한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제10권2호
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- Pages.127-132
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- 2003
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
ON INVARIANT APPROXIMATION OF NON-EXPANSIVE MAPPINGS
- Sharma, Meenu (Department of Mathematics, Guru Nanak Dev University) ;
- Narang, T.D. (Department of Mathmatics, Guru Nakak Dev University)
- 발행 : 2003.05.01
초록
The object of this paper is to extend and generalize the work of Brosowski ［Fixpunktsatze in der approximationstheorie. Mathematica Cluj 11 (1969), 195-200］, Hicks & Humphries ［A note on fixed point theorems. J. Approx. Theory 34 (1982), 221-225］, Khan & Khan ［An extension of Brosowski-Meinardus theorem on invariant approximation. Approx. Theory Appl. 11 (1995), 1-5］ and Singh ［An application of a fixed point theorem to approximation theory J. Approx. Theory 25 (1979), 89-90; Application of fixed point theorem in approximation theory. In: Applied nonlinear analysis (pp. 389-394). Academic Press, 1979］ in metric spaces having convex structure, and in metric linear spaces having strictly monotone metric.