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The existence results of coupled quasi-solutions for a class of operator equations. (English) Zbl 1200.47075

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.

MSC:

47H10 Fixed-point theorems
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
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