Search results for "Kakutani fixed-point theorem"

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Existence theorems for inclusions of the type

1999

For a family of operator inclusions with convex closed-valued right-hand sides in Banach spaces, the existence of solutions is obtained by chiefly using Ky Fan's fixed point principle. The main result of the paper improves Theorem 1 in [16] as well as Theorem 2.2 of [3]. Some meaningful concrete cases are also presented and discussed.

Unbounded operatorPure mathematicsPicard–Lindelöf theoremApplied MathematicsEberlein–Šmulian theoremMathematical analysisFixed-point theoremDanskin's theoremOpen mapping theorem (functional analysis)Kakutani fixed-point theoremBrouwer fixed-point theoremAnalysisMathematicsApplicable Analysis
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