Results 21 to 30 of about 400 (106)
Ulam stability of Volterra integral equation on a generalized metric space
, 2020 Sorina Ciplea and Nicolaie Lungu Abstract. The aim of this paper is to give some Ulam-Hyers stability results for Volterra integral equations on a generalized metric space. In this case we consider the Volterra integral equation in the Krasnoselski-Krein
Sorina Anamaria Ciplea, N. Lungu
semanticscholar +1 more source
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
Stability for the logarithmic Sobolev inequality [PDF]
arXiv, 2023 This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
arxiv
, 2014 In this paper, we suggest and analyze a modified projection method for finding a common solution of a system of variational inequalities, a split equilibrium problem, and a hierarchical fixed-point problem in the setting of real Hilbert spaces.
A. Bnouhachem
semanticscholar +1 more source
, 2020 In this paper, we study the Euler-Lagrange system related to the extremal sequences of the discrete reversed Hardy-Littlewood-Sobolev inequality. This system comes into play in estimating bounds of the Coulomb energy and is associated with the study of ...
Tingting Tang
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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
, 2011 In this paper, we show the hierarchical convergence of the following implicit double-net algorithm: xs,t=s[tf(xs,t)+(1-t)(xs,t-μAxs,t)]+(1-s)1λs∫0λsT(v)xs,tdν,∀s,t∈(0,1), where f is a ρ-contraction on a real Hilbert space H, A : H → H is an α-inverse ...
Yonghong Yao, Y. Je Cho, Y. Liou
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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
On solutions of a system of variational inequalities and fixed point problems in Banach spaces
, 2013 In this paper, considering the problem of solving a system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in Banach spaces, we propose a two-step relaxed extragradient method which is based on ...
L. Ceng, A. Latif, Jen-Chih Yao
semanticscholar +1 more source
Multidimensional play operators with arbitrary BV inputs [PDF]
Mathematical Modelling of Natural Phenomena 15 (2020) 13, 2020 In this paper we provide an integral variational formulation for a vector play operator where the inputs are allowed to be arbitrary functions with (pointwise) bounded variation, not necessarily left or right continuous. We prove that this problem admits a unique solution, and we show that in the left continuous and right continuous cases it reduces to
arxiv +1 more source