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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 1

A fixed point result for semigroups of monotone operators and a solution of discontinuous nonlinear functional-differential equations

Nabil Machrafı(Mohammed V University in Rabat)0000-0002-0667-6613
Pages
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Publication Date
2021-02-04
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · semitopological semigroup · ordered Banach space

Abstract

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.

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Cite This Article

Machrafı, N. (2021). A fixed point result for semigroups of monotone operators and a solution of discontinuous nonlinear functional-differential equations. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 1. https://doi.org/10.15672/hujms.620711

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