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- Title
Fixed Point Theorems of Superlinear Operators with Applications.
- Authors
Xu, Shaoyuan; Han, Yan
- 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 α -convex operators α > 1 , e -convex operators, positive α homogeneous operator α > 1 , generalized e -convex operator, and convex operators are obtained. The results are applied to nonlinear integral equations and partial differential equations.
- Subjects
PARTIAL differential equations; DIFFERENTIAL equations
- Publication
Journal of Function Spaces, 2022, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2022/2965300