Results 101 to 110 of about 476,682 (147)

Frechet differentiability of the metric projection operator in Banach spaces [PDF]

arXiv
In this paper, we prove Frechet differentiability of the metric projection operator onto closed balls, closed and convex cylinders and positives cones in uniformly convex and uniformly smooth Banach spaces. With respect to these closed and convex subsets, we find the exact expressions for Frechet derivatives and Gateaux directional derivatives of the ...
arxiv  

Non-uniformly continuous nearest point maps

We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any compact and convex subset is continuous but not uniformly continuous.
Medina, Rubén, Quilis, Andrés
core  

Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]

, 2014
Qiaohong Jiang, Jinghai Wang, Huang Jian-hua   +2 more
openalex   +1 more source

On some fixed point theorems on uniformly convex Banach spaces

Journal of Mathematical Analysis and Applications, 1992
AbstractWe introduce a notion of T-regularity to generalize a well known fixed point theorem of Browder. We also give some related results in this direction.
openaire   +2 more sources

Strongly unique best approximation in uniformly convex Banach spaces

Journal of Approximation Theory, 1989
On etend aux espaces uniformement convexes quelques theoremes d'Angelos-Egger-Smarzewski relatifs a la meilleure approximation fortement ...
openaire   +2 more sources

Asymptotic behavior of periodic nonexpansive evolution operators in uniformly convex Banach spaces

, 1986
Kazuo Kobayasi
openalex   +1 more source

A splitting algorithm in a uniformly convex and 2-uniformly smooth Banach space [PDF]

, 2018
Hecai Yuan
openalex   +1 more source

Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications [PDF]

, 2018
Yongchun Xu, Jinyu Guan, Yanxia Tang, Yongfu Su   +3 more
openalex   +1 more source

Convergence of a Three-step Iteration Scheme to the Common Fixed Points of Mixed-Type Total Asymtotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

, 2021
Imo Kalu Agwu, Donatus Ikechi Igbokwe, Nathenial C. Ukeje   +2 more
openalex   +2 more sources

Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces

Journal of Function Spaces
We apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on (ε, p) isometries of Hilbert spaces and Lq spaces.
openaire   +2 more sources