Brezis Pseudomonotonicity is Strictly Weaker than Ky–Fan Hemicontinuity [PDF]
Journal of Optimization Theory and Applications, 2018 In 1968, H. Brezis introduced a notion of operator pseudomonotonicity which provides a unified approach to monotone and nonmonotone variational inequalities (VIs). A closely related notion is that of Ky-Fan hemicontinuity, a continuity property which arises if the famous Ky-Fan minimax inequality is applied to the VI framework.
D. Steck
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Some remarks on lower hemicontinuity of convex multivalued mappings [PDF]
Economic Theory, 2006 For a multifunction a condition sufficient for lower hemicontinuity is presented. It is shown that under convexity of graph it is possible for a multifunction to be not continuous only when a special representation of points of its domain is not feasible.
Piotr Maćkowiak
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Journal of Mathematical Economics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kali P. Rath
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Demicontinuity, hemicontinuity and monotonicity [PDF]
Bulletin of the American Mathematical Society, 1964 Recently the notions of monotone, demicontinuous and hemicontinuous functions have been introduced in connection with nonlinear problems in functional analysis (Browder [ l ; 2; 3; 4; 5], Minty [6; 7; 8]).
Tosio Kato
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Demicontinuity, hemicontinuity and monotonicity. II [PDF]
Bulletin of the American Mathematical Society, 1967 In the previous paper [6] with the same title, the writer proved that a (nonlinear) monotonie operator G from a Banach space X to the adjoint space X* is demicontinuous if and only if it is hemicontinuous and locally bounded, under a certain mild ...
Tosio Kato
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On the stability of the martingale optimal transport problem: A set-valued map approach [PDF]
, 2021 Continuity of the value of the martingale optimal transport problem on the real line w.r.t. its marginals was recently established in Backhoff-Veraguas and Pammer (2019) and Wiesel (2019).
Ariel Neufeld, Julian Sester
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Regularization method for Noor’s variational inequality problem induced by a hemicontinuous monotone operator [PDF]
Fixed Point Theory and Applications, 2012 في هذه الورقة، نقدم طريقة تنظيم لإيجاد حل لمشكلة عدم المساواة التباينية في نور التي يسببها مشغل رتيب نصف مستمر. علاوة على ذلك، يرتبط هذا الحل بمجموعة الصفر من التعيينات المعكوسة الرتيبة بقوة. وبالتالي، نظرًا لأننا لا نفترض الرتابة القوية للمشغل المدروس، فإن نتائجنا عامة وتوسع بعض النتائج المعروفة في الأدبيات.
Yeol Je Cho, Narin Petrot
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Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Buong, Jong Kyu Kim
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Identification of individual demands from market data under uncertainty [PDF]
, 2008 We show that, even under incomplete markets, the equilibrium manifold identifies individual demands everywhere in their domains. Under partial observation of the manifold, we determine maximal subsets of the domains on which identification holds.
Carvajal, Andrés M., Riascos, Alvaro
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A necessary and sufficient condition for upper hemicontinuous set-valued mappings without compact-values being upper demicontinuous [PDF]
Proceedings of the American Mathematical Society, 1998 The purpose of this article is to give a characterization of an upper hemicontinuous mapping with non-empty convex values being upper demicontinuous, i.e., we show that an upper hemicontinuous set-valued mapping with non-empty convex values (not necessarily compact-valued) is upper demicontinuous if and only if the set-valued mapping has no interior ...
Yang, Gan-Shang, Yuan, George Xian-Zhi
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