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Abstrakty
A general common fixed point result is obtained for commuting maps in p-normed spaces. The Brosowski-Meinardus type approximation theorem in p-normed spaces via our main result is derived. These results unify and include the recent work of Jungck and Sessa [6], Khan and Khan [7], Sahab, Khan and Sessa [II], Singh [12] etc.
Wydawca
Czasopismo
Rocznik
Tom
Strony
831--836
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Department of Mathematics King Abdul Aziz University P.O. Box 80203 Jeddah-21589, Saudi Arabia
autor
- Department of Mathematics King Abdul Aziz University P.O. Box 80203 Jeddah-21589, Saudi Arabia
Bibliografia
- [1] B. Brosowski, Fixpunktsatze in der approximations theorie, Mathematica (Cluj) 11 (1969), 195-220.
- [2] W. G. Dotson, Fixed point theorems for nonexpansive mappings on star-shaped subsets of Banach spaces, J. London Math. Soc. (2) 4 (1972), 408-410.
- [3] L. Habiniak, Fixed point theorems and invariant approximation, J. Approx. Theory 56 (1989), 241-244.
- [4] T. L. Hicks and M. D. Humphries, A note on fixed point theorems, J. Approx. Theory 34 (1982), 221-225.
- [5] G. Jungck, Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Math. Soc. 103 (1988), 977-983.
- [6] G. Jungck and S. Sessa, Fixed point theorems in best approximation theory, Math. Japonica 42 (1995), 249-252.
- [7] L. A. Khan and A. R. Khan, An extension of Brosowki-Meinardus theorem on invariant approximation, Approx. Theory & its Appl. 11 (1995), 1-5.
- [8] G. Kothe, Topological Vector Spaces I, Springer, Berlin, 1969.
- [9] A. Latif, A result on best approximation in p-normed spaces, Arch. Math. (Brno) 37 (2001), 71-75.
- [10] G. Meinardus, Invarianze bei Linearen Approximationen, Arch. Rational Mech. Anal. 14 (1963), 301-303.
- [11] S. A. Sahab, M. S. Khan and S. Sessa, A result in best approximation theory, J. Approx. Theory 55 (1988), 349-351.
- [12] S. P. Singh, An application of a fixed point theorem to approximation theory, J. Approx. Theory 25 (1979), 89-90.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0041-0007