scientific article; zbMATH DE number 6985436

zbMath1411.46013MaRDI QIDQ4557936

M. Veena Sangeetha, P. Veeramani

Publication date: 27 November 2018

Full work available at URL: http://www.heldermann.de/JCA/JCA25/JCA254/jca25076.htm#jca251

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

normal structureasymptotic centersChebyshev centersmulti-dimensional volumes\(k\)-uniform rotundityuniform rotundity with respect to finite-dimensional subspaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items

Characterizations of weakly uniformly rotund Banach spaces ⋮ Fixed points of asymptotically nonexpansive type mappings ⋮ Fixed point theorems of nonexpansive mappings on weakly compact sets ⋮ On \(k\)-rotundity and \(k\)-uniform rotundity in direct sums of normed spaces ⋮ On geometric and best approximation properties of \(k\)-UR and its generalizations ⋮ Unnamed Item ⋮ GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES ⋮ Geometry of product spaces ⋮ Uniqueness of circumcenters in generalized Minkowski spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative Chebyshev centers in normed linear spaces. II
• Normal structure and invariance of Chebyshev center under isometries
• Normal structure and the sum-property
• k-uniform rotundity is equivalent to k-uniform convexity
• Multi-dimensional volumes and moduli of convexity in Banach spaces
• Products of Banach spaces that are uniformly rotund in every direction
• Fixed points of isometries on weakly compact convex sets
• Multi-dimensional volumes, super-reflexivity and normal structure in Banach spaces
• A Representation Theorem for Bounded Convex Sets
• A Reflexive LUR Banach Space that Lacks Normal Structure
• A Generalization of Uniformly Rotund Banach Spaces
• On Asymptotic Centers and Fixed Points of Nonexpansive Mappings
• Banach Spaces that are Uniformly Rotund in Weakly Compact Sets of Directions
• On the moduli of convexity and smoothness
• Chebyshev center, best proximity point theorems and fixed point theorems
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Normed Linear Spaces that are Uniformly Convex in Every Direction
• Uniformly Convex Spaces