Results 21 to 30 of about 265 (66)
Existence results for general inequality problems with constraints
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 601-619, 2003., 2003 This paper is concerned with existence results for inequality problems of type F0(u; v) + Ψ′(u; v) ≥ 0, for all v ∈ X, where X is a Banach space, F : X → ℝ is locally Lipschitz, and Ψ : X → (−∞ + ∞] is proper, convex, and lower semicontinuous. Here F0 stands for the generalized directional derivative of F and Ψ′ denotes the directional derivative of Ψ.
George Dincă +2 more
wiley +1 more source
Completely generalized multivalued nonlinear quasi‐variational inclusions
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 593-604, 2002., 2002 We introduce and study a new class of completely generalized multivalued nonlinear quasi‐variational inclusions. Using the resolvent operator technique for maximal monotone mappings, we suggest two kinds of iterative algorithms for solving the completely generalized multivalued nonlinear quasi‐variational inclusions.
Zeqing Liu +3 more
wiley +1 more source
Interpolation inequalities in pattern formation [PDF]
, 2015 We prove some interpolation inequalities which arise in the analysis of pattern formation in physics. They are the strong version of some already known estimates in weak form that are used to give a lower bound of the energy in many contexts (coarsening ...
Cinti, Eleonora, Otto, Felix
core +2 more sources
Mixed variational inequalities and economic equilibrium problems
Journal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002 We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley +1 more source
Convex KKM maps, monotone operators and Minty variational inequalities
, 2015 It is known that for convex sets, the KKM condition is equivalent to the finite intersection property. We use this equivalence to obtain a characterisation of monotone operators in terms of convex KKM maps and in terms of the existence of solutions to ...
Lassonde, Marc
core +1 more source
Iterative algorithms for quasi-variational inclusions and fixed point problems of pseudocontractions [PDF]
, 2014 In this paper, quasi-variational inclusions and fixed point problems of pseudocontractions are considered. An iterative algorithm is presented. A strong convergence theorem is demonstrated. MSC:49J40, 47J20, 47H09, 65J15.
Ravi P Agarwal +2 more
core +1 more source
On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals
Advanced Nonlinear Studies, 2018 In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u∈Lp(0,T;W01,p(Ω)){u\in L^{p}(0,T;W^{1,p}_{0}(\Omega))} and f∈F(⋅,⋅,u){f\in F(\cdot,\cdot,u)} such that u(⋅,0)=u0{u(\
Le Vy Khoi, Schmitt Klaus
doaj +1 more source
Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
Advances in Nonlinear Analysis, 2018 This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando +2 more
doaj +1 more source
Backward stochastic variational inequalities with locally bounded generators
, 2013 The paper deals with the existence and uniqueness of the solution of the backward stochastic variational inequality: \begin{equation} \left\{\begin{array} {l}-dY_{t}+\partial \varphi(Y_{t})dt \ni F(t,Y_{t},Z_{t})dt-Z_{t}dB_{t},\;0\leq ...
Maticiuc, Lucian +2 more
core +1 more source
Halpern-type proximal point algorithm in complete CAT(0) metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of ...
Heydari Mohammad Taghi, Ranjbar Sajad
doaj +1 more source