Invariant approximations noncommuting maps and strongly M-starshaped metric spaces

• Autorzy: Naz A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we obtain some results on invariant approximations in strongly M-starshaped metric spaces, which extend some known results.

Słowa kluczowe

EN

best approximation; common fixed point; metric space

PL

aproksymacja; przestrzeń metryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 893--898
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Naz A.

• Department of Mathematics, Government College for Women, Murree Road, Rawalpindi - Pakistan

Bibliografia

• [1] M. A. Al-Thagafi, Best approximation and fixed points in strong M-starshaped metric spaces, Internat. J. Math, and Math. Sci., 18 (1995), 613-616.
• [2] M. A. Al-Thagafi, Common fixed points and best approximation, J. Approx. Theory, 85 (1996), 318-323.
• [3] I. Beg, N. Shahzad and M. Iqbal, Fixed point theorems and best approximation in convex metric spaces, Approx. Theory and its Appl., 9 (1992), 97-105.
• [4] B. Brosowski, Fixpunktsatze in der approximations-theorie, Mathematica (Cluj), 11 (1969), 195-220.
• [5] L. Habiniak, Fixed point theorems and invariant approximations, J. Approx. Theory 56 (1989), 241-244.
• [6] A. Naz, Best approximation in convex metric spaces, Punjab Univ. J. Math., (to appear).
• [7] A. Naz, Best approximation in strongly M-starshaped metric spaces, Radovi Mat. 10 (2001), 203-207.
• [8] R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
• [9] S. A. Sahab, M. S. Khan and S. Sessa, A result in best approximation theory, J. Approx. Theory, 55 (1988), 349-351.
• [10] N. Shahzad, A result on best approximation, Tamkang J. Math. 29 (1998), 223-226; Corrections, 30 (1999), 165.
• [11] N. Shahzad, Invariant approximations and R-subweakly commuting maps, J. Math. Anal. Appl. 257 (2001), 39-45.
• [12] N. Shahzad, Noncommuting maps and best approximations, Radovi Mat., 10 (2001), 77-83.
• [13] S. P. Singh, An application of a fixed point theorem to approximation theory, J. Approx. Theory, 25 (1979), 89-90.
• [14] W. Takahashi, A convexity in metric spaces and nonexpansive mappings I, Kodai Math. Sem. Rep. 22 (1970), 142-149.