期刊： JOURNAL OF CONVEX ANALYSIS, 2021; 28 (2)
The identification of dynamical systems is core to control theory. Driven by the advances in machine learning, data driven approaches are becoming imp......
期刊： JOURNAL OF CONVEX ANALYSIS, 2021; 28 (1)
We define first the spherical convexity of sets and functions on general curved surfaces by an analytic approach. Then we study several kinds of prope......
期刊： JOURNAL OF CONVEX ANALYSIS, 2020; 27 (2)
We study a measurable sweeping process with a multivalued perturbation in a separable Hilbert space. The values of the perturbation are closed, not ne......
期刊： JOURNAL OF CONVEX ANALYSIS, 2020; 27 (2)
We consider the split common fixed point problem for families of mappings in Banach spaces. Using the hybrid method, we prove two strong convergence t......
期刊： JOURNAL OF CONVEX ANALYSIS, 2020; 27 (2)
We consider the partial differential set-valued variational inequality (PDSVI) on real Banach spaces. We give conditions for the existence and uniquen......
期刊： JOURNAL OF CONVEX ANALYSIS, 2020; 27 (2)
We first introduce for a closed and convex set two classes of subsets: the near and far ends relative to a point, and give some full characterizations......
期刊： JOURNAL OF CONVEX ANALYSIS, 2019; 26 (3)
We investigate near equality and almost convexity of extended real valued functions defined on finite-dimensional Euclidean spaces. The main result st......
期刊： JOURNAL OF CONVEX ANALYSIS, 2019; 26 (3)
We introduce the notion of a smooth set in a locally convex topological vector space and extend Asplund's result on the strong differentiability space......
期刊： JOURNAL OF CONVEX ANALYSIS, 2019; 26 (2)
We establish a Fenchel-Moreau type theorem for proper convex functions f : X -> (L) over bar (0), where (X,Y,<.,.>) is a dual pair of Banach ......
期刊： JOURNAL OF CONVEX ANALYSIS, 2019; 26 (1)
Our main aim is to generalize the mixed quermassintegrals W-i(K, L) of convex bodies to Orlicz spaces. In the framework of Orlicz-Brunn-Minkowski theo......
期刊： JOURNAL OF CONVEX ANALYSIS, 2018; 25 (3)
We prove that if every bounded subset of X* is w*-separable, X is compactly locally uniformly convex, X is 2-strictly convex and X is nonsquare, then ......
期刊： JOURNAL OF CONVEX ANALYSIS, 2018; 25 (3)
Analogous to weak compactness of subsets of Banach spaces and to property of subsets in super reflexive spaces, the purpose of this paper is to discus......
期刊： JOURNAL OF CONVEX ANALYSIS, 2017; 24 (3)
In this paper we extend the Mazur-Orlicz theorem from the sublinear functional to the convex functional.
期刊： JOURNAL OF CONVEX ANALYSIS, 2017; 24 (4)
We study the existence of nontrivial solutions for the following class of nonlocal problem, -Delta u + V (x)u = (I-mu * F(x;u))f(x,u) in R-2, where V ......
