Results 21 to 30 of about 25,291 (257)

Moreau’s decomposition in Banach spaces [PDF]

Mathematical Programming, 2013
Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results.
Patrick L. Combettes, Noli N. Reyes
openaire   +4 more sources

On Λ-Type Duality of Frames in Banach Spaces

International Journal of Analysis and Applications, 2013
Frames are redundant system which are useful in the reconstruction of certain classes of spaces. The dual of a frame (Hilbert) always exists and can be obtained in a natural way.
Renu Chugh, Mukesh Singh, L. K. Vashisht
doaj   +2 more sources

Separability of Topological Groups: A Survey with Open Problems

Axioms, 2018
Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
doaj   +1 more source

Operations in Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1942
Not ...
openaire   +2 more sources

Convex Optimization on Banach Spaces [PDF]

Foundations of Computational Mathematics, 2015
Greedy algorithms which use only function evaluations are applied to convex optimization in a general Banach space $X$. Along with algorithms that use exact evaluations, algorithms with approximate evaluations are treated. A priori upper bounds for the convergence rate of the proposed algorithms are given.
Ronald A. DeVore, Vladimir N. Temlyakov
openaire   +2 more sources

Composition Operators on Some Banach Spaces of Harmonic Mappings

Journal of Function Spaces, 2020
We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space ...
Munirah Aljuaid, Flavia Colonna
doaj   +1 more source

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +1 more source

A Generalization of Uniformly Extremely Convex Banach Spaces

Journal of Function Spaces, 2016
We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of k-uniformly rotund spaces and ...
Suyalatu Wulede, Wurichaihu Bai, Wurina Bao   +2 more
doaj   +1 more source

The concept of cone b-Banach space and fixed point theorems

Open Mathematics, 2021
In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces.
Yang Chen, Zhu Xiaolin
doaj   +1 more source

Application of a New Class of Characteristic Function

Journal of Harbin University of Science and Technology, 2021
In Banach space，considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ，the independent variable is t，and the domain is ［0，+ ∞ ) ，and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
doaj   +1 more source