On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities

DOI10.1016/0362-546X(90)90082-RzbMath0696.47052OpenAlexW1977542890WikidataQ55969268 ScholiaQ55969268MaRDI QIDQ3472717

Seppo Heikkilä

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90082-r

zbMATH Keywords

existencemaximalityHammerstein integral equationsminimalitynonlinear Sturm-Liouville boundary value problemsfixed points of maps on ordered sets

Mathematics Subject Classification ID

Partial orders, general (06A06) Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Ordinary differential operators (34L99)

Related Items (13)

On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities ⋮ Boundary value problems with discontinuities and monotone discretization ⋮ On extremal solutions of operator equations in ordered normed spaces ⋮ On fixed points of multifunctions in ordered spaces ⋮ On generalized methods of successive approximations ⋮ An existence result for elliptic differential inclusions with discontinuous nonlinearity ⋮ Two applications of a generalization of an asymptotic fixed point theorem ⋮ The fixed point property for ordered sets ⋮ Invariant sets and Knaster-Tarski principle ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Fixed point results in ordered normed spaces with applications to abstract and differential equations ⋮ A qualitative approach to Markovian equilibrium in infinite horizon economies with capital ⋮ Algorithms for the fixed point property

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Applications of monotone techniques to differential equations with discontinuous right hand side
• The superposition operator in function spaces - A survey
• On fixed points through iteratively generated chains with applications to differential equations
• On operator and integral equations with discontinuous right-hand side
• Sur le théorème de Zorn
• A lattice-theoretical fixpoint theorem and its applications
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• A fixed point lemma with applications
• On the mathod of iteratively generated chain approximations for equations in function spaces
• Some Fixed Point Theorems for Partially Ordered Sets

This page was built for publication: On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities