Search results for "m-Accretive operators"

showing 2 items of 2 documents

Existence results and asymptotic behavior for nonlocal abstract Cauchy problems

2008

AbstractThe purpose of this paper is to study the existence and asymptotic behavior of solutions for Cauchy problems with nonlocal initial datum generated by accretive operators in Banach spaces.

Cauchy problemPure mathematicsm-Accretive operatorsNonlocal Cauchy problemsApplied MathematicsMathematical analysisBanach spaceMathematics::Analysis of PDEsGeodetic datumCauchy distributionIntegral solutionsAsymptotic behaviorAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Existence theorems for m-accretive operators in Banach spaces

2005

Abstract In 1985, the second author proved a surjective result for m -accretive and ϕ -expansive mappings for uniformly smooth Banach spaces. However, in this case, we have been able to remove the uniform smoothness of the Banach space, without any additional assumption.

Discrete mathematicsMathematics::Functional AnalysisZeros for m-accretive operatorsApproximation propertySurjectivityApplied MathematicsEberlein–Šmulian theoremAccretivityUniformly convex spaceBanach manifoldFinite-rank operatorInterpolation spaceOpen mapping theorem (functional analysis)Lp spaceAnalysisMathematicsJournal of Mathematical Analysis and Applications
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