Leggett–Williams norm-type fixed point theorems for multivalued mappings
Copyright policy )Leggett–Williams norm-type fixed point theorems for multivalued mappings
The authors present some generalizations of the Krasnoselskij--Leggett--Williams fixed point theorem for cone expansions and compressions [see \textit{R.\,W.\thinspace Leggett} and \textit{L.\,R.\thinspace Williams}, J.~Math.\ Anal.\ Appl.\ 76, 91--97 (1980; Zbl 0448.47044)] to the case of compact and condensing type multivalued maps with convex values. As applications, the authors consider the existence of nontrivial solutions for a second order boundary value problem with reflection of argument and for Fredholm integral inclusions.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- University of Galway Ireland
- Rzeszów University Poland
Fixed-point theorems, Applications of operator theory to differential and integral equations, fixed point theorem, multivalued map, cone, fixed point index, Set-valued operators, Ordinary differential inclusions
Fixed-point theorems, Applications of operator theory to differential and integral equations, fixed point theorem, multivalued map, cone, fixed point index, Set-valued operators, Ordinary differential inclusions
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