Common fixed points for Banach operator pairs from the set of best approximations
L. Ćirić, N. Hussain, F. Akbar, and J. S. Ume
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 319-336.
Abstract
The existence of common fixed point results for a Banach operator pair under certain generalized $\varphi$-contractions is established. As applications, the corresponding invariant best approximation results are proved. Our results unify and generalize various known results to the more general class of noncommuting mappings.
Primary Subjects: 47H10, 54H25
Keywords: Common fixed point; Banach operator pair; $\varphi$-contraction; Ćirić contraction; compatible maps; invariant approximation
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1244038143
Mathematical Reviews number (MathSciNet):
MR2541045
Bulletin of the Belgian Mathematical Society - Simon Stevin
