Results 1 to 10 of about 87 (66)

On hemicontinuity of bifunctions for solving equilibrium problems [PDF]

Advances in Nonlinear Analysis, 2014
This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
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Demicontinuity and hemicontinuity in Fréchet space [PDF]

Proceedings of the American Mathematical Society, 1973
It is proved that the notions of demicontinuity and hemicontinuity for monotone maps from a Fréchet space into its dual are equivalent, thus generalizing a result of T. Kato.
Hugo D. Junghenn
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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.
Daniel J. Steck
  +7 more sources

Transfer positive hemicontinuity and zeros, coincidences, and fixed points of maps in topological vector spaces

Fixed Point Theory and Applications, 2005
Let E be a real Hausdorff topological vector space. In the present paper, the concepts of the transfer positive hemicontinuity and strictly transfer positive hemicontinuity of set-valued maps in E are introduced (condition of strictly transfer positive ...
D. Klim, K. Włodarczyk
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Metric characterizations for well-posedness of split hemivariational inequalities [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split ...
Qiao-yuan Shu, Rong Hu, Yi-bin Xiao
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Some remarks on lower hemicontinuity of convex multivalued mappings [PDF]

Economic Theory, 2005
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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Existence and upper hemicontinuity of equilibrium distributions of anonymous games with discontinuous payoffs

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
Tosio Kato
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Demicontinuity, hemicontinuity and monotonicity. II [PDF]

Bulletin of the American Mathematical Society, 1967
Tosio Kato
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Well Posedness of New Optimization Problems with Variational Inequality Constraints

Fractal and Fractional, 2021
In this paper, we studied the well posedness for a new class of optimization problems with variational inequality constraints involving second-order partial derivatives.
Savin Treanţă
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