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Zbl 1200.47075
Cho, Yeol Je; He, Guang; Huang, Nan-Jing
The existence results of coupled quasi-solutions for a class of operator equations. (English)
[J] Bull. Korean Math. Soc. 47, No. 3, 455-465 (2010). ISSN 1015-8634

The authors of the paper under review study the existence of coupled quasi-solutions of a certain nonlinear operator equation posed over a Banach space, using the semi-order method. Under certain sufficient conditions (which are too technical to be mentioned here), they prove two new existence results.
[K. C. Sivakumar (Chennai)]
MSC 2000:
*47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H07 Positive operators on ordered topological linear spaces

Keywords: cone; partial order; mixed monotone operator; relatively weakly compact set; coupled quasi-solutions

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