Search Results - Set valued implicit function theorem

An Implicit Function Theorem for One-sided Lipschitz Mappings by Beyn, Wolf-Jürgen, Rieger, Janosch

“…Implicit function theorems are derived for nonlinear set valued equations that satisfy a relaxed one-sided Lipschitz condition…”
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Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions by Huynh, Van Ngai, Théra, Michel

“…In this paper, we present some inverse function theorems and implicit function theorems for set-valued mappings between Fréchet spaces…”
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Implicit function theorems for m-accretive and locally accretive set-valued mappings by Domokos, A.

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Bartle-Graves Theorem Revisited by Dontchev, Asen L.

“…We take a fresh look at the Bartle-Graves theorem pointing out the main differences with the standard implicit function theorem…”
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Metric Regularity for Set-Valued Maps in Fréchet-Montel Spaces. Implicit Mapping Theorem by Ivanov, M., Quincampoix, M., Zlateva, N.

“…This paper is devoted to new derivative criterion of metric regularity for set-valued map…”
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Implicit multifunction theorems in complete metric spaces by Huynh, van Ngai, Nguyen, Huu Tron, Théra, Michel

“…In this paper, we establish some new characterizations of metric regularity of implicit multifunctions in complete metric spaces by using lower semicontinuous envelopes of the distance functions to set-valued mappings…”
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METRIC REGULARITY—A SURVEY PART II. APPLICATIONS by IOFFE, A. D.

“… in which such phenomena as nondifferentiability and set-valued mappings naturally appear. The roots of the theory go back to such fundamental results of the classical analysis as the implicit function theorem, Sard theorem and some others…”
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Point-based sufficient conditions for metric regularity of implicit multifunctions by Yen, N.D., Yao, J.-C.

“… Zhu, Implicit multifunctions theorems, Set-Valued Anal. 7 (1999) 209–238], Ngai and Théra [H.V. Ngai, M. Théra, Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization, Set-Valued Anal…”
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Taylor’s Theorem, the Inverse Function Theorem and the Implicit Function Theorem for Weakly Locally Uniformly Differentiable Functions on Non-Archimedean Spaces by Shamseddine, Khodr

“… Moreover, they satisfy an inverse function theorem, a local intermediate value theorem and a local mean value theorem…”
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Sensitivity analysis of parametric weak vector equilibrium problems by Li, S.J., Li, M.H.

“…In this paper, two implicit multifunction theorems are obtained. Then by using a set-valued gap function and the results obtained we study the sensitivity…”
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Bi-decomposition of multi-valued logical functions and its applications by Cheng, Daizhan, Xu, Xiangru

“… The constructive proofs also lead to constructing corresponding decompositions. Using these results, the implicit function theorem (IFT…”
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A MEASURE-THEORETIC COMPUTATIONAL METHOD FOR INVERSE SENSITIVITY PROBLEMS I: METHOD AND ANALYSIS by BREIDT, J., BUTLER, T., ESTEP, D.

“…We consider the inverse sensitivity analysis problem of quantifying the uncertainty of inputs to a deterministic map given specified uncertainty in a linear…”
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Normal coderivative for multifunctions and implicit function theorems by Lee, G.M., Tam, N.N., Yen, N.D.

“…In the framework of the theory of normal coderivative for multifunctions, new implicit function theorems are obtained…”
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A sequential implicit function theorem for the chords iteration by Nedelcheva, Diana Kirilova

“… which is uniform in the parameter p . Then we go a step further and obtain a sequential implicit function theorem describing the dependence of the set of sequences of iterates…”
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On a Control Problem for a System of Implicit Differential Equations by Zhukovskiy, E. S., Serova, I. D.

“…We consider the differential inclusion with the constraint , , on the derivative of the unknown function, where and are set-valued mappings, is superpositionally measurable, and is measurable…”
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Implicit mapping theorem for extended metric regularity in metric spaces by Marinov, Rumen Tsanev, Nedelcheva, Diana Kirilova

“… Using this result we show that the update Graves theorem, in company with the stability of metric regularity under perturbations can be extended to a much broader framework of set-valued mappings…”
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A sequential implicit function theorem for iterative solution of generalized equation involving point-based approximation by Kirilova Nedelcheva, Diana

“… of the point and the function A : P × X × X → Y is point-based approximation of f . We go a step further and arrive at an implicit function theorem…”
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Implicit Functions: a Metric Theory by Ioffe, Alexander D.

“…The paper surveys available and new results relating to the implicit function problem for parametric inclusions in metric spaces…”
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Evolutionary problems driven by variational inequalities by Liu, Zhenhai, Zeng, Shengda, Motreanu, Dumitru

“… Then we establish that the solution set of (EEVI) is nonempty and compact. Our approach is based on the theory of semigroups, Filippov implicit function lemma and fixed point…”
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Implicit Multifunction Theorems by Ledyaev, Yuri S., Zhu, Qiji J.

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