Positive coincidence points for a class of nonlinear operators and their applications to matrix equations
Keyword(s):
Abstract Consider an ordered Banach space and f,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X) has a positive solution, whenever f is strictly \alpha -concave g-monotone or strictly (-\alpha ) -convex g-antitone with g super-homogeneous and surjective. As applications, we show the existence of positive definite solutions to new classes of nonlinear matrix equations.
2019 ◽
Vol 9
(2)
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pp. 526-546
1983 ◽
Vol 94
(3)
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pp. 519-522
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2014 ◽
Vol 237
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pp. 546-559
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2017 ◽
Vol 66
(4)
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pp. 827-839
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2015 ◽
Vol 53
(1-2)
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pp. 245-269
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