nonexpansive mapping

nonexpansive mapping

[‚nän·ik‚span·siv ′map·iŋ]
(mathematics)
A function ƒ from a metric space to itself such that, for any two elements in the space, a and b, the distance between ƒ (a) and ƒ (b) is not greater than the distance between a and b.
References in periodicals archive ?
Let F be a bi- function from C x C to R satisfying (A1) - (A4) and let S be a nonexpansive mapping of C into H such that F(S) [intersection] EP(f) [not equal to] 0.
Nadezhkina and Takahashi [17] introduced a so-called extragradient method motivated by the idea of Korpelevich [8] for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem and obtained a weak convergence theorem.
For instance, the fixed point of the nonexpansive mapping T: [0,1] [right arrow] [0,1] defined by
Prempeh: Strong convergence theorems for a finite family of nonexpansive mappings in Banach spaces, Comm.
Chang, Some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings, Proc.
Other topics include Halpern's iteration for nonexpansive mappings, Lie generators for local semigroups, generalized relaxations of nonexpansive operators, and split common fixed points.
n(mod N)], is called the implicit iteration process for a finite family of nonexpansive mappings [{[T.
Reich: Uniform convexity, hyperbolic geometry, and nonexpansive mappings, Vol.
Noor, Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces.
Toyoda: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space, Nonlinear Anal.
Narang: Common fixed points and invariant approximations for Cq-commuting generalized nonexpansive mappings, Iranian J.