Results 11 to 20 of about 400 (106)
On capacity and torsional rigidity
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 347-359, April 2021., 2021 Abstract We investigate extremal properties of shape functionals which are products of Newtonian capacity cap(Ω¯), and powers of the torsional rigidity T(Ω), for an open set Ω⊂Rd with compact closure Ω¯, and prescribed Lebesgue measure. It is shown that if Ω is convex, then cap(Ω¯)Tq(Ω) is (i) bounded from above if and only if q⩾1, and (ii) bounded ...
M. van den Berg, G. Buttazzo
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Lagrangian methods for optimal control problems governed by quasi-hemivariational inequalities
Miskolc Mathematical Notes, 2020 The aim of this paper is to study an optimal control problem governed by a quasihemivariational inequality by using nonlinear Lagrangian methods.
Feng-Shan Long, Biao Zeng
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Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004 We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3849-3857, 2004., 2004 We introduce and study a class of general quasivariational‐like inequalities in Hilbert spaces, suggest two general algorithms, and establish the existence and uniqueness of solutions for these kinds of inequalities. Under certain conditions, we discuss convergence and stability of the three‐step iterative sequences generated by the algorithms.
Zeqing Liu +3 more
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A primal-dual approach of weak vector equilibrium problems
Open Mathematics, 2018 In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László Szilárd
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Strong convergence of a self-adaptive method for the split feasibility problem
, 2013 Self-adaptive methods which permit step-sizes being selected self-adaptively are effective methods for solving some important problems, e.g., variational inequality problems.
Yonghong Yao, M. Postolache, Y. Liou
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A‐monotonicity and applications to nonlinear variational inclusion problems
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 193-195, 2004., 2004 A new notion of the A‐monotonicity is introduced, which generalizes the H‐monotonicity. Since the A‐monotonicity originates from hemivariational inequalities, and hemivariational inequalities are connected with nonconvex energy functions, it turns out to be a useful tool proving the existence of solutions of nonconvex constrained problems as well.
Ram U. Verma
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Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 199-207, 2003., 2003 The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented.
Zeqing Liu +2 more
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KKM theorem with applications to lower and upper bounds equilibrium problem in G‐convex spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3267-3276, 2003., 2003 We give some new versions of KKM theorem for generalized convex spaces. As an application, we answer a question posed by Isac et al. (1999) for the lower and upper bounds equilibrium problem.
M. Fakhar, J. Zafarani
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, 2012 Recently, Colao et al. (J Math Anal Appl 344:340-352, 2008) introduced a hybrid viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a finite family of nonexpansive ...
L. Ceng, S. Guu, Jen-Chih Yao
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