Fixed points of increasing multivalued operators and an application to discontinuous elliptic equations

DOI10.1016/S0362-546X(01)00850-1zbMath1157.47314MaRDI QIDQ698868

Nguyen Bich Huy

Publication date: 30 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Fixed pointDiscontinuous elliptic equationsIncreasing multivalued operatorsMaximal solutionsOrdered Banach spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations ⋮ Inclusion problems in ordered topological vector spaces and applications ⋮ Some fixed points theorems for multi-valued weakly uniform increasing operators ⋮ On a class of inclusions in ordered spaces ⋮ On extremal solutions of inclusion problems with applications to game theory ⋮ Fixed points of discontinuous multivalued operators in ordered spaces with applications ⋮ On explicit and implicit operator and differential inclusions in ordered spaces ⋮ Existence results for operator and differential equations and inclusions ⋮ Fixed points of multi-valued monotone operators and the solvability of a fractional integral inclusion

Cites Work

• On the existence of a maximal weak solution for a semilinear elliptic equation
• A general principle on ordered sets in nonlinear functional analysis
• Existence of a maximal solution for quasimonotone elliptic systems
• Fixed point for multivalued increasing operators
• On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities
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