Results 21 to 30 of about 1,101 (132)
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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Dynamics of screw dislocations: a generalised minimising-movements scheme approach [PDF]
, 2015 The gradient flow structure of the model introduced in [CG99] for the dynamics of screw dislocations is investigated by means of a generalised minimising-movements scheme approach. The assumption of a finite number of available glide directions, together
Bonaschi, Giovanni A. +2 more
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Partially relaxed cocoercive variational inequalities and auxiliary problem principle
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 143-148, 2004., 2004 Let T : K → H be a mapping from a nonempty closed convex subset K of a finite‐dimensional Hilbert space H into H. Let f : K → ℝ be proper, convex, and lower semicontinuous on K and let h : K → ℝ be continuously Frećhet‐differentiable on K with h′ (gradient of h), α‐strongly monotone, and β‐Lipschitz continuous on K.
Ram U. Verma
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Analysis and Geometry in Metric Spaces, 2023 This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a ...
Salisu Sani +2 more
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International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 235-244, 2004., 2004 We consider a new class of equilibrium problems, known as hemiequilibrium problems. Using the auxiliary principle technique, we suggest and analyze a class of iterative algorithms for solving hemiequilibrium problems, the convergence of which requires either pseudomonotonicity or partially relaxed strong monotonicity. As a special case, we obtain a new
Muhammad Aslam Noor
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On principal frequencies and inradius in convex sets [PDF]
, 2018 We generalize to the case of the $p-$Laplacian an old result by Hersch and Protter. Namely, we show that it is possible to estimate from below the first eigenvalue of the Dirichlet $p-$Laplacian of a convex set in terms of its inradius.
Brasco, Lorenzo
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On some inequalities for relative semi-convex functions
, 2013 We consider and study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived.
M. Noor, M. U. Awan, K. Noor
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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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Variational inequality for a vector field on Hadamard spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Our purpose is to study the variational inequality problem for a vector field on Hadamard spaces. The existence and uniqueness of the solutions to the variational inequality problem associated with a vector field in Hadamard spaces are studied.
Ranjbar Sajad
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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
wiley +1 more source