Results 11 to 20 of about 357 (48)

Non-squareness properties of Orlicz-Lorentz function spaces

Journal of Inequalities and Applications, 2013
In this paper, criteria for non-squareness and uniform non-squareness of Orlicz-Lorentz function spaces Λφ,ω are given. Since degenerated Orlicz functions φ and degenerated weight functions ω are also admitted, this investigation concerns the most ...
P. Foralewski, H. Hudzik, P. Kolwicz
semanticscholar   +2 more sources

Order-clustered fixed point theorems on chain-complete preordered sets and their applications to extended and generalized Nash equilibria

Fixed Point Theory and Applications, 2013
In this paper, we introduce the concept of order-clustered fixed point of set-valued mappings on preordered sets and give several generalizations of the extension of the Abian-Brown fixed point theorem provided in (Mas-Colell et al.
Linsen Xie, Jinlu Li, Wenshan Yang
semanticscholar   +2 more sources

Topological properties of the block numerical range of operator matrices

, 2020
We show that the block numerical range of an n×n -operator matrix A corresponding to an operator A on the Banach space X with respect to a decomposition X = ∏Xj has at most n connected components.
Agnes Radl, M. Wolff
semanticscholar   +1 more source

Applications of fixed point theory to extended Nash equilibriums of nonmonetized noncooperative games on posets

Fixed Point Theory and Applications, 2013
We say that a noncooperative game is nonmonetized if the ranges of the utilities of the players are posets. In this paper, we examine some nonmonetized noncooperative games of which both the collection of strategies and the ranges of the utilities for ...
Linsen Xie, Jinlu Li, C. Wen
semanticscholar   +2 more sources

Points of nonsquareness of Lorentz spaces Γp,w

Journal of Inequalities and Applications, 2014
Criteria for nonsquare points of the Lorentz spaces of maximal functions Γp,w are presented under an arbitrary (also degenerated) nonnegative weight function w.
P. Kolwicz, Agata Panfil
semanticscholar   +2 more sources

Maurey-Rosenthal domination for abstract Banach lattices

Journal of Inequalities and Applications, 2013
We extend the Maurey-Rosenthal theorem on integral domination and factorization of p-concave operators from a p-convex Banach function space through Lp-spaces for the case of operators on abstract p-convex Banach lattices satisfying some essential ...
M. A. Juan, E. A. Sánchez Pérez
semanticscholar   +2 more sources

A note on the relationship between the isotone assumption of the Abian-Brown fixed point theorem and Abian’s most basic fixed point theorem

Fixed Point Theory and Applications, 2014
In a recent paper Xie et al. (Fixed Point Theory Appl. 2013:192, 2013) gave several extensions and some applications of the Abian-Brown (AB) fixed point theorem.
Shravan Luckraz
semanticscholar   +2 more sources

Fixed point theorems on ordered vector spaces

Fixed Point Theory and Applications, 2014
In this paper, we introduce the concept of ordered metric spaces with respect to some ordered vector spaces, which is an extension of the normal metric spaces.
Jin Lu Li, Cong-Jun Zhang, Qi Qiong Chen
semanticscholar   +2 more sources

On the block numerical range of operators on arbitrary Banach spaces

, 2018
We investigate the block numerical range of bounded linear operators on arbitrary Banach spaces. We show that the spectrum of an operator is always contained in the closure of its block numerical range.
Agnes Radl, M. Wolff
semanticscholar   +1 more source

Ideal-triangularizability and commutators of constant sign

, 2016
Let E be a Banach lattice with order continuous norm, and let A and B be positive compact operators such that the commutator AB−BA is also positive. We prove that if A and B are ideal-triangularizable, then they are simultaneously ideal-triangularizable,
R. Drnovšek, M. Kandić
semanticscholar   +1 more source