Results 51 to 60 of about 508 (181)
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the stochastic horizontal linear complementarity problem (S‐HLCP). By employing a complementarity function, we reformulate the S‐HLCP as an expected residual minimization (ERM) problem. We first establish sufficient conditions based on the R0‐matrix property to ensure the coercivity of the ERM problem.
Jianhua Peng +2 more
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Optimality Conditions Characterizing Approximate Solutions for DC Composite Programs
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper concerns DC composite optimization problems with conic constraints. By virtue of epigraph of conjugate functions, we introduce some new regularity conditions. Under the new regularity conditions, we give some necessary optimality conditions for ε‐optimal solutions, global optimal solutions, and local optimal solutions by using the ε ...
Gang Li, Qiqiong Chen, Smritijit Sen
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Inexact Inertial Proximal Algorithm for Maximal Monotone Operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, convergence of the sequence generated by the inexact form of the inertial proximal algorithm is studied. This algorithm which is obtained by the discretization of a nonlinear oscillator with damping dynamical system, has been introduced by
Khatibzadeh Hadi, Ranjbar Sajad
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
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On one consequence of the Chebyshev alternance [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe classical problem of the best approximation of a continuous function by a polynomial over a Chebyshev system of functions is considered. It is known that the solution of the problem is characterized by alternance.
Dudov, Sergei Ivanovitch +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer +3 more
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On the use of semi-closed sets and functions in convex analysis
Open Mathematics, 2015 The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known
Zălinescu Constantin
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
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A viability result for second-order differential inclusions
Electronic Journal of Differential Equations, 2002 We prove a viability result for the second-order differential inclusion $$ x''in F(x,x'),quad (x(0), x'(0))=(x_0,y_0)in Q:=Kimes Omega, $$ where $K$ is a closed and $Omega$ is an open subsets of $mathbb{R}^m$, and is an upper semicontinuous set-valued ...
Vasile Lupulescu
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