We improve some fixed point theorems by stating a fixed point result for semigroups of monotone operators in the setting of ordered Banach spaces with a normal cone. We illustrate the usefulness of our results by proving the existence and conditional unicity of a solution of an initial value problem for discontinuous nonlinear functional-differential equations under natural hypotheses involving the order structure of the underlying space.
Fixed point semitopological semigroup ordered Banach space normal cone functional-differential equation lower and upper solutions
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 4 Şubat 2021 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 50 Sayı: 1 |