Common fixed point theorems for generalized JH-operator classes and invariant approximations
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Author list: Sintunavarat W., Kumam P.
Publisher: SpringerOpen
Publication year: 2011
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2011
ISSN: 1025-5834
eISSN: 1029-242X
Languages: English-Great Britain (EN-GB)
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Abstract
In this article, we introduce two new different classes of noncommuting selfmaps. The first class is more general than JH-operator class of Hussain et al. (Common fixed points for JH-operators and occasionally weakly biased pairs under relaxed conditions. Nonlinear Anal. 74(6), 2133-2140, 2011) and occasionally weakly compatible class. We establish the existence of common fixed point theorems for these classes. Several invariant approximation results are obtained as applications. Our results unify, extend, and complement several well-known results. ฉ 2011 Sintunavarat and Kumam; licensee Springer.
Keywords
Banach operator pair, Generalized JH-operator pair, Invariant approximation, JH-operator pair, P-operator pair
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