Results 11 to 20 of about 660 (67)
The Bregman Proximal Average [PDF]
SIAM Journal on Optimization, 2021 We provide a proximal average with repect to a 1-coercive Legendre function. In the sense of Bregman distance, the Bregman envelope of the proximal average is a convex combination of Bregman envelopes of individual functions. The Bregman proximal mapping
Xianfu Wang, Heinz H. Bauschke
semanticscholar +1 more source
Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]
SIAM Journal on Optimization, 2021 Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
Salihah Alwadani +2 more
semanticscholar +1 more source
Journal of Computational Mathematics, 2022 In the present paper, we study the restricted inexact Newton-type method for solving the generalized equation 0 ∈ f(x)+F (x), where X and Y are Banach spaces, f : X → Y is a Fréchet differentiable function and F : X ⇉ Y is a set-valued mapping with ...
M. Rashid
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Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
wiley +1 more source
Improving KKM Theory on General Metric Type Spaces
Topological Algebra and its Applications, 2021 A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they ...
Park Sehie
doaj +1 more source
Measure differential inclusions - between continuous and discrete
Advances in Differential Equations, 2014 The paper is devoted to the study of the measure-driven differential inclusions dx(t)∈G(t,x(t))dμ(t), x(0)=x0 for arbitrary finite Borel measure μ. This type of results allows one to treat in a similar manner differential and difference inclusions, as ...
M. Cichoń, B. Satco
semanticscholar +2 more sources
On existence and essential stability of solutions of symmetric variational relation problems
Journal of Inequalities and Applications, 2014 In this paper, we introduce symmetric variational relation problems and establish the existence theorem of solutions of symmetric variational relation problems. As the special cases, symmetric (vector) quasi-equilibrium problems and symmetric variational
Zhe Yang
semanticscholar +2 more sources
On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
doaj +1 more source
A fixed point theorem for discontinuous functions [PDF]
, 2005 AMS classifications: 54H25, 65K10, 49J53 ...
Herings, P.J.J. +3 more
core +6 more sources
Quantitative Stability of Linear Infinite Inequality Systems under Block Perturbations with Applications to Convex Systems [PDF]
, 2011 The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp.
AD Ioffe +22 more
core +5 more sources