Open Access
May 2009 Common fixed points for Banach operator pairs from the set of best approximations
F. Akbar, N. Hussain, J. S. Ume, L. Ćirić
Bull. Belg. Math. Soc. Simon Stevin 16(2): 319-336 (May 2009). DOI: 10.36045/bbms/1244038143

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.

Citation

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F. Akbar. N. Hussain. J. S. Ume. L. Ćirić. "Common fixed points for Banach operator pairs from the set of best approximations." Bull. Belg. Math. Soc. Simon Stevin 16 (2) 319 - 336, May 2009. https://doi.org/10.36045/bbms/1244038143

Information

Published: May 2009
First available in Project Euclid: 3 June 2009

zbMATH: 1204.47065
MathSciNet: MR2541045
Digital Object Identifier: 10.36045/bbms/1244038143

Subjects:
Primary: 47H10 , 54H25

Keywords: $\varphi$-contraction , Banach operator pair , Ćirić contraction , common fixed point , compatible maps , ‎invariant‎ ‎approximation

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 2 • May 2009
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