Characterizations of pseudolinear and semistrictly quasilinear functions
Abstract
In this paper, we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. The results are derived in terms of the Clarke-Rockafellar subdifferential. Additionally, we prove a characterization of the semistrictly quasilinear functions. It is similar to the derivative free characterization of the pseudolinear functions. We also find the conditions such that a semistrictly quasilinear function become pseudolinear.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Studia Universitatis Babes-Bolyai Matematica
- Volume
- 71
- Issue
- 2
- Pages
- 177–187
- Publication date
- 3 June 2026
- Language
- EN