Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces

H Zhou - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
… Throughout this paper we denote by E and E ∗ a real Banach space and the dual space of
E , respectively. Let J denote the normalized duality mapping. Let K be a subset of E and T : K …

Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces

SS Chang - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
By using viscosity approximation methods for a finite family of nonexpansive mappings in
Banach spaces, some sufficient and necessary conditions for the iterative sequence to …

Derivatives of analytic families of Banach spaces

R Rochberg, G Weiss - Annals of Mathematics, 1983 - JSTOR
… 3We are presenting the theory involving finite-dimensional Banach spaces. We do this, in
to avoid entering into the technical detail needed to develop the general theory (see [5]). For …

Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces

CE Chidume, B Ali - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
… It is our purpose in this paper to prove, in a real uniformly convex Banach space E, (i) a
weak convergence theorem for finite families of asymptotically nonexpansive mappings where …

Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces

CE Chidume, B Ali - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
Banach spaces, and prove new weak convergence theorems in real uniformly convex Banach
spaces … Frèchet differentiable norms, or whose dual space have the Kadec– Klee property…

Real and complex interpolation methods for finite and infinite families of Banach spaces

M Cwikel, S Janson - Advances in Mathematics, 1987 - Elsevier
… Thus we require the existence of a fixed Banach space % such that A(y) < @ for all y EK (…
call a family of Banach spaces {A(y) 1 y E r} which has this property a bounded family on IY (…

On injective banach spaces and the spaces L(μ) for finite measures μ

HP Rosenthal - 1970 - projecteuclid.org
Banach spaces associated with injective Banach spaces. We study in particular detail, the
spaces Lw(/x) for finite … study to problems concerning injective Banach spaces in general.(~) (…

Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space

D Wu, S Chang, GX Yuan - Nonlinear Analysis: Theory, Methods & …, 2005 - Elsevier
Some sufficient and necessary conditions for the iterative sequence converging to a common
fixed points for a family of nonexpansive mappings in Banach spaces are obtained. The …

Implicit iterations of two finite families for nonexpansive mappings in Banach spaces

S Plubtieng, K Ungchittrakool… - … functional analysis and …, 2007 - Taylor & Francis
… in a uniformly convex Banach space. Recently, Chidume and … fixed point for a finite family
of nonexpansive mappings if one … finite families of nonexpansive mappings in Banach spaces. …

Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces

JS Jung - Nonlinear Analysis: Theory, Methods & Applications, 2006 - Elsevier
… an iterative method for a family nonexpansive mappings in reflexive Banach spaces, Appl.
Math. … result for a family of finite nonexpansive mappings and a contraction in a Banach space. …