Results 21 to 30 of about 1,091 (133)
Mixed quasi invex equilibrium problems
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 57, Page 3057-3067, 2004., 2004 We introduce a new class of equilibrium problems, known as mixed quasi invex equilibrium (or equilibrium-like) problems. This class of invex equilibrium problems includes equilibrium problems, variational inequalities, and variational‐like inequalities as special cases.
Muhammad Aslam Noor
wiley +1 more source
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
wiley +1 more source
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
Parabolic inequalities in Orlicz spaces with data in L1
Open Mathematics, 2021 In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.
Alaoui Mohammed Kbiri
doaj +1 more source
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
Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
Advances in Nonlinear Analysis, 2021 In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
doaj +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
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
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