Results 21 to 30 of about 462 (83)
A Penalization‐Gradient Algorithm for Variational Inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 This paper is concerned with the study of a penalization‐gradient algorithm for solving variational inequalities, namely, find x̅∈C such that 〈Ax̅,y-x̅〉≥0 for all y ∈ C, where A : H → H is a single‐valued operator, C is a closed convex set of a real Hilbert space H.
Abdellatif Moudafi +2 more
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α‐Well‐Posedness for Mixed Quasi Variational‐Like Inequality Problems
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 The concepts of α‐well‐posedness, α‐well‐posedness in the generalized sense, L‐α‐well‐posedness and L‐α‐well‐posedness in the generalized sense for mixed quasi variational‐like inequality problems are investigated. We present some metric characterizations for these well‐posednesses.
Jian-Wen Peng, Jing Tang, V. Zeidan
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KURATOWSKI I-CONVERGENT DOUBLE SEQUENCES OF A CLOSED SETS ON INTUITIONISTIC FUZZY NORMED SPACE
, 2022 Motivated by the notion of Kuratowski convergence of sequences of closed set [20]. In thispaper, we extend the concept of Kuratowski convergence to Kuratowski ideal convergencewith respect to intuitionistic fuzzy normed space for a double sequence of ...
Hira Fatima, Jayantika Pal
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Horoballs in simplices and Minkowski spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We obtain precise descriptions of all horoballs for Hilbert′s geometry on simplices and for normed finite‐dimensional vector spaces with norm given by some polyhedron. Certain geometrical consequences are deduced and several other applications are pointed out, which concern the dynamics of important classes of nonlinear self‐maps of convex cones.
A. Karlsson, V. Metz, G. A. Noskov
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Scalarization and convergence in unified set optimization
, 2021 This paper deals with scalarization and stability aspects for a unified set optimization problem. We provide characterization for a unified preference relation and the corresponding unified minimal solution in terms of a generalized oriented distance ...
Khushboo, C.S. Lalitha
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Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
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On the convergence of min/sup points in optimal control problems
Abstract and Applied Analysis, Volume 6, Issue 1, Page 35-52, 2001., 2001 We modify the definition of lopsided convergence of bivariate functionals to obtain stability results for the min/sup points of some control problems. In particular, we develop a scheme of finite dimensional approximations to a large class of non‐convex control problems.
Adib Bagh
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, 2015 Since the turn of the century there have been several notions of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence.
Patterson, Richard, Nuray, Fatih
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Attouch-Wets convergence and Kuratowski convergence on compact sets [PDF]
, 1995 summary:Let $X$ be a locally connected, $b$-compact metric space and $E$ a closed subset of $X$. Let $\Bbb G$ be the space of all continuous real-valued functions defined on some closed subsets of $E$.
Sampalmieri, Rosella, Piccione, Paolo
core
Convergence of Subdifferentials of Convexly Composite Functions
, 1999 In this paper we establish conditions that guarantee, in the setting of a general Banach space, the Painlevé-Kuratowski convergence of the graphs of the subdifferentials of convexly composite functions.
C. Combari, R. Poliquin, L. Thibault
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