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

DOI10.15672/hujms.620711zbMath1484.47137OpenAlexW3045925113WikidataQ115235206 ScholiaQ115235206MaRDI QIDQ5164424

Nabil Machrafi

Publication date: 11 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.620711

zbMATH Keywords

lower and upper solutionsfixed pointfunctional-differential equationnormal conesemitopological semigroupordered Banach space

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) General theory of functional-differential equations (34K05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Numerical methods for functional-differential equations (65L03)

Cites Work

• Positive solutions of two-point boundary value problems for nonlinear integrodifferential equations in Banach spaces
• Multiple positive solutions of impulsive nonlinear Fredholm integral equations and applications
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Positive solutions of a non-linear integral equation
• Fixed Point Theory in Ordered Sets and Applications
• A certain fixed point theorem and its applications to integral-functional equations
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Non-Expansive Actions of Topological Semigroups and Fixed Points
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