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Let be a normal solid cone, and let.
Let P be a normal solid cone of E, and let A : P ∘ × P ∘ → P ∘ be a mixed monotone operator.
Let P be a normal solid cone of (mathcal{A}) which gives the partial ordering '⪯' in (mathcal{A}).
Let be a normal solid cone of, and let be a mixed monotone and - -concave-convex operator, thas has exactly one fixed point in.
Let P be a normal solid cone of a Banach algebra ((E,Vert cdot Vert )) and (T Erightarrow E) an order-Lipschitz mapping with (l=kin P).
Let N be a real Banach space, K be a normal solid cone with a normal constant c ≥ 1 and T : K → K be a completely continuous operator.
Similar(52)
Clearly, P is a normal solid cone.
It is obvious that is a normal solid cone with normal constant equals to.
Let (3.2). then is a normal solid cone in and (3.3).
It is also known that K is a normal solid cone with a normal constant c = 1.
Assume that is a normal solid cone in a real Banach space and is a -concave increasing operator.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com