Results 1 to 10 of about 1,959 (215)
Singularities in a variational problem with an inequality [PDF]
Pacific Journal of Mathematics, 1966 Abstract : The variational problem of Lagrange is considered with an inequality in the form (a) phi (x,y) >0 or (b) phi (x,y,y) >0, which is of frequent occurrence in applications of the calculus of variations to Control Theory and Optimization Techniques.
Garfinkel, Boris, McAllister, Gregory T.
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Variational inequality problems in H‐spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The concept of η‐invex set is explored and the concept of T‐η‐invex function is introduced. These concepts are applied to the generalized vector variational inequality problems in ordered topological vector spaces. The study of variational inequality problems is extended to H‐spaces and differentiable n‐manifolds.
Akrur Behera, Prasanta Kumar Das
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A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical finite element method based on the lowest order Raviart–Thomas element, which yields approximations to both the primal and dual ...
Barrett, JW, Prigozhin, L
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Variational Inequality Problems with a Continuum of Solutions: Existence and Computation [PDF]
SIAM Journal on Control and Optimization, 2000 Summary: In this paper three sufficient conditions are provided under each of which an upper semicontinuous point-to-set mapping defined on an arbitrary polytope has a connected set of zero points that connect two distinct faces of the polytope. Furthermore, we obtain an existence theorem of a connected set of solutions to a nonlinear variational ...
P. Jean-Jacques Herings +2 more
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Gap Functions and Algorithms for Variational Inequality Problems [PDF]
Journal of Applied Mathematics, 2013 We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis. By generalized gap functions and generalized D-gap functions, we give global bounds for the set-valued mixed variational inequality problems.
Cong-Jun Zhang, Bao-Qing Liu, Jun Wei
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Inverse problems for quasi-variational inequalities
Journal of Global Optimization, 2017 In this short note, our aim is to investigate the inverse problem of parameter identification in quasi-variational inequalities. We develop an abstract nonsmooth regularization approach that subsumes the total variation regularization and permits the identification of discontinuous parameters.
Akhtar A. Khan, Dumitru Motreanu
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British Educational Research Journal, EarlyView., 2023 Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright +8 more
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Variational inequalities in critical-state problems [PDF]
Physica D: Nonlinear Phenomena, 2004 Similar evolutionary variational inequalities appear as convenient formulations for continuous quasistationary models for sandpile growth, formation of a network of lakes and rivers, magnetization of type-II superconductors, and elastoplastic deformations.
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On the Generalized Vector Variational Inequality Problem
Journal of Mathematical Analysis and Applications, 1997 This paper studies vector variational inequalities with set-valued mappings. Existence results are established by applying Fan's lemma also known as KKM theorem. A generalized vector complementarity problem is also introduced.
Konnov I., Yao J.
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Advanced Materials Interfaces, EarlyView.Schematic illustration of a sustainable nanofabrication process: chitosan derived from natural sources is used as a biodegradable thin film resist, patterned via Constant Pulse‐Assisted Force Lithography (CP‐AFL) to create tunable nanogrooves. These grooves template gold nanowire formation, enabling high‐resolution nanopatterning under ambient ...
Paolo Pellegrino +7 more
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