Generalized I-nonexpansive maps and best approximations in Banach spaces

• Autorzy: Shahzad, N.
• Języki publikacji: EN

Abstrakty

EN

A noncommutative version of a best approximation result for generalized I-nonexpansive maps is obtained.

Słowa kluczowe

PL

aproksymacja; przestrzeń Banacha; punkty stałe

EN

approximation; fixed-point theorems; Banach space

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 597--600
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Shahzad, N.

• Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah-21589, Saudi Arabia

Bibliografia

• [1] G. Jungck and S. Sessa, Fixed point theorems in best approximation theory, Math. Japonica 42 (1995), 249-252.
• [2] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597.
• [3] R. P. Pant, Common fixed, points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
• [4] N. Shahzad, Invariant approximations, generalized I-contractions and R-subweakly commuting maps, submitted.
• [5] N. Shahzad, Invariant approximation and R-subweakly commuting maps, J. Math. Anal. Appl. 257 (2001), 39-45.
• [6] N. Shahzad, Noncommuting maps and best approximations, Radovi Mat. 10 (2001), 77-83.
• [7] N. Shahzad, On R-subcommuting maps and best approximations in Banach spaces, Tamkang J. Math. 32 (2001), 51-53.
• [8] N. Shahzad, A result on best approximation, Tamkang J. Math. 29 (1998), 223-226; Corrections 30 (1999), 165.