Results 21 to 30 of about 1,076 (134)
On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
doaj +1 more source
The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]
, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto{div} (\frac{\nabla u}{\sqrt{1-|\nabla u|^2}})
Bereanu, Cristian +2 more
core +4 more sources
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
wiley +1 more source
On variational nonlinear equations with monotone operators
Advances in Nonlinear Analysis, 2020 Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
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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
wiley +1 more source
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
core +4 more sources
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
wiley +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source