Results 1 to 10 of about 31,602 (167)
Set-Valued Shadow Matching Using Zonotopes for 3D-Map-Aided GNSS Localization
Navigation, 2022 Unlike many urban localization methods that return point-valued estimates, a set-valued representation enables robustness by ensuring that a continuum of possible positions obeys safety constraints.
Sriramya Bhamidipati +2 more
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From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are interested in the sensitivity of solutions w.r.t. perturbations of both mappings.
Gerd Wachsmuth
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Structure of the Fixed Point of Condensing Set-Valued Maps [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
Zeinab Soltani
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An inverse mapping theorem for set-valued maps [PDF]
Proceedings of the American Mathematical Society, 1994 We prove that certain Lipschitz properties of the inverse F −
Dontchev, A. L., Hager, W. W.
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Set-valued optimization problems via second-order contingent epiderivative [PDF]
Yugoslav Journal of Operations Research, 2021 In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity
Das Koushik, Nahak Chandal
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Best Proximity Pairs Theorems for Continuous Set-Valued Maps
Fixed Point Theory and Applications, 2008 A best proximity pair for a set-valued map F:A⊸B with respect to a set-valued map G:A⊸A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.
R. P. Agarwal +3 more
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Stable approximations of set-valued maps [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1988 The celebrated Lax’ principle “stability and consistency implies convergence” is adapted to the case of nonlinear equation and even inclusions (multivalued equations) through a convenient concept of stability. It requires the definition of “contingent derivative” of single or set-valued maps and states that a family of maps is stable if and only if the
Aubin, J.-P., Wets, R.J.-B.
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Fixed Point Theory and Applications, 2017 In this article, we define the new concept of a fixed set for a set valued map with set valued domain in the setting of metric space endowed with a directed graph. This notion of fixed set is analogous to the notion of a fixed point for a multivalued map
Pradip Debnath +2 more
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On the Borel Classes of Set-Valued Maps of Two Variables
Annales Mathematicae Silesianae, 2020 Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
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Generalized convex set-valued maps
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benoist, Joël, Popovici, Nicolae
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