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- W4280490771 abstract "In this paper, by using the partial order method and monotone iterative techniques, the existence and uniqueness of fixed points for a class of superlinear operators are studied, without requiring any compactness or continuity. As corollaries, the new fixed point theorems for <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi>α</mi> </math> -convex operators <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mfenced open=( close=)> <mrow> <mi>α</mi> <mo>></mo> <mn>1</mn> </mrow> </mfenced> </math> , <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mi>e</mi> </math> -convex operators, positive <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi>α</mi> </math> homogeneous operator <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mfenced open=( close=)> <mrow> <mi>α</mi> <mo>></mo> <mn>1</mn> </mrow> </mfenced> </math> , generalized <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mi>e</mi> </math> -convex operator, and convex operators are obtained. The results are applied to nonlinear integral equations and partial differential equations." @default.
- W4280490771 created "2022-05-22" @default.
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- W4280490771 date "2022-05-18" @default.
- W4280490771 modified "2023-09-26" @default.
- W4280490771 title "Fixed Point Theorems of Superlinear Operators with Applications" @default.
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- W4280490771 doi "https://doi.org/10.1155/2022/2965300" @default.
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