Results 1 to 10 of about 445 (74)
No‐dimension Tverberg's theorem and its corollaries in Banach spaces of type p
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 631-641, April 2021., 2021 Abstract We continue our study of ‘no‐dimension’ analogues of basic theorems in combinatorial and convex geometry in Banach spaces. We generalize some results of the paper (Adiprasito, Bárány and Mustafa, ‘Theorems of Carathéodory, Helly, and Tverberg without dimension’, Proceedings of the Thirtieth Annual ACM‐SIAM Symposium on Discrete Algorithms ...
Grigory Ivanov
wiley +1 more source
BEST CONSTANTS FOR LIPSCHITZ QUOTIENT MAPPINGS IN POLYGONAL NORMS
Mathematika, Volume 67, Issue 1, Page 116-144, January 2021., 2021 Abstract We investigate the relation between the maximum cardinality N of the level sets of a Lipschitz quotient mapping of the plane and the ratio between its Lipschitz and co‐Lipschitz constants, with respect to the polygonal norms, and establish that bounds of 1/N previously shown to be sharp for Euclidean norm stay sharp for polygonal n‐norms if ...
Olga Maleva +1 more
wiley +1 more source
Best proximity point theorems for generalized proximal contractions
Fixed Point Theory and Applications, 2012 Best proximity point theorems unravel the techniques for determining an optimal approximate solution, designated as a best proximity point, to the equation Tx = x which is likely to have no solution when T is a non-self mapping.
S. Basha, N. Shahzad
semanticscholar +1 more source
On James type constants and the normal structure in Banach spaces
, 2020 In this paper, we establish the lower bounds for the weakly convergent sequence coefficient WCS(X) of a Banach space X , in terms of the James type constant JX ,t (τ) , the coefficient of weak orthogonality μ(X) and Domı́nguez-Benavides coefficient R(1,X)
Zhanfei Zuo
semanticscholar +1 more source
Embeddability of locally finite metric spaces into Banach spaces is finitely determined [PDF]
, 2011 The main purpose of the paper is to prove the following results: • Let A be a locally finite metric space whose finite subsets admit uniformly bilipschitz embeddings into a Banach space X. Then A admits a bilipschitz embedding into X.
M. Ostrovskii
semanticscholar +1 more source
Some topological and geometrical properties of new Banach sequence spaces
, 2013 In the present paper, we introduce a new band matrix Fˆ and define the sequence space ℓp(Fˆ)={x=(xk)∈ω:∑k|fkfk+1xk−fk+1fkxk−1 ...
E. Kara
semanticscholar +1 more source
Common fixed points for weak commutative mappings on a multiplicative metric space
, 2014 In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d(Sx,Ty)≤{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}λ, where A and
Xiaoju He, Meimei Song, D. Chen
semanticscholar +1 more source
Fixed points of multivalued contraction mappings in modular metric spaces
Fixed Point Theory and Applications, 2014 The purpose of this paper is to study the existence of fixed points for contractive-type multivalued maps in the setting of modular metric spaces. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing ...
A. A. Abdou, M. Khamsi
semanticscholar +1 more source
On strong orthogonality and strictly convex normed linear spaces [PDF]
Journal of Inequalities and Applications, 2012 We introduce the notion of a strongly orthogonal set relative to an element in the sense of Birkhoff-James in a normed linear space to find a necessary and sufficient condition for an element x of the unit sphere SX to be an exposed point of the unit ...
K. Paul, D. Sain, K. Jha
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A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008 We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +4 more
wiley +1 more source