Results 21 to 30 of about 4,974,492 (203)

An alternating procedure for operators on uniformly convex and uniformly smooth Banach spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Zongben, Roach, G. F.
openaire   +1 more source

Duality Fixed Point and Zero Point Theorems and Applications

open access: yesAbstract and Applied Analysis, 2012
The following main results have been given. (1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition ...
Qingqing Cheng   +2 more
doaj   +1 more source

Banach Spaces Which Are Dual tok-Uniformly Convex Spaces

open access: yesJournal of Mathematical Analysis and Applications, 1997
The authors find a characterization of the property dual to \(k\)-uniform convexity and call it \(k\)-uniform smoothness. A slight modification of a modulus defined by \textit{V. D. Mil'man} [Russian Math. Surveys 26 (1971), No. 6, 79-163 (1972; Zbl 0238.46012); translation from Usp. Mat. Nauk 26, No.
MALUTA, ELISABETTA, PRUS S.
openaire   +2 more sources

Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
doaj   +1 more source

Approximation of the fixed points of quasi-nonexpansive mappings in a uniformly convex Banach space

open access: yes, 1992
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for quasi-nonexpansive mappings under certain ...
L. Debnath   +3 more
core   +2 more sources

Hybrid and Relaxed Mann Iterations for General Systems of Variational Inequalities and Nonexpansive Mappings

open access: yesAbstract and Applied Analysis, 2013
We introduce hybrid and relaxed Mann iteration methods for a general system of variational inequalities with solutions being also common solutions of a countable family of variational inequalities and common fixed points of a countable family of ...
L. C. Ceng   +3 more
doaj   +1 more source

Approximation of fixed points for Garcia-Falset mappings in a uniformly convex Banach space

open access: yesResults in Nonlinear Analysis, 2021
The aim of this research is to introduce a novel iterative technique termed CC-iteration for identifying the fixed points of Garcia-Falset mappings.
Tanapat Chalarux, Khuanchanok Chaichana
doaj   +1 more source

Locally uniformly convex Banach spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1955
which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed. In section I we prove a general theorem on the product of locally uniformly convex Banach spaces and with the aid of this theorem we establish that the two notions are actually ...
openaire   +2 more sources

Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces

open access: yesDiscrete Dynamics in Nature and Society, 2010
We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space.
Murat Ozdemir   +2 more
doaj   +1 more source

Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications

open access: yesAbstract and Applied Analysis, 2010
We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
doaj   +1 more source

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