Defines generalized critical points and ordered extrema in partially ordered Banach spaces and proves that order monotonicity of mappings is characterized by their Gateaux or Frechet derivatives.
M., Differentiability in Banach Spaces, Differential Forms and Applications, Springer, Switzerland (2021)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Differentiation and Ordered Optimization in Banach Spaces
Defines generalized critical points and ordered extrema in partially ordered Banach spaces and proves that order monotonicity of mappings is characterized by their Gateaux or Frechet derivatives.