Results 31 to 40 of about 1,172,576 (205)

On nonexpansive mappings [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
holds for all p, qEX (for all p, q with d(p, q)
openaire   +1 more source

Comments on the cosmic convergence of nonexpansive maps [PDF]

open access: yesJournal of Fixed Point Theory and Applications, 2021
AbstractThis note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of $$\ell ^{1}$$ ℓ 1 .
Gutiérrez, Armando W., Karlsson, Anders
openaire   +7 more sources

Convexity in quasi-metric spaces [PDF]

open access: yes, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and ...
Jiawei Chen   +3 more
doaj   +1 more source

ON MULTIVALUED f-NONEXPANSIVE MAPS

open access: yesDemonstratio Mathematica, 1999
The authors prove coincidence, fixed point, and convergence theorems which extend previous results by G. L. Acedo and H.-K. Xu, W. G. Dotson, G. Jungck and S. Sessa, and E. Lami Dozo.
Latif, Abdul, Tweddle, Ian
openaire   +1 more source

On Multivalued Nonexpansive Mappings in ℝ‐Trees [PDF]

open access: yesJournal of Applied Mathematics, 2012
The relationships between nonexpansive, weakly nonexpansive, *‐nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ‐semicontinuous mappings in ℝ‐trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.
Samanmit, K., Panyanak, B.
openaire   +3 more sources

Multivalued Nonexpansive Mappings and Opial's Condition [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
We give relations between a condition introduced by Z. Opial which characterizes weak limits by means of the norm in some Banach spaces and approximations of the identity, in particular for systems of projections. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved; this result ...
openaire   +3 more sources

Strong Convergence of Monotone Hybrid Algorithm for Hemi-Relatively Nonexpansive Mappings

open access: yesFixed Point Theory and Applications, 2008
The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings. In order to get these convergence theorems, the monotone hybrid iteration method is presented and is used to approximate
Dongxing Wang   +2 more
doaj   +2 more sources

Some fixed point results for enriched nonexpansive type mappings in Banach spaces

open access: yesApplied General Topology, 2022
In this paper, we introduce two new classes of nonlinear mappings and present some new existence and convergence theorems for these mappings in Banach spaces.
Rahul Shukla, Rajendra Pant
doaj   +1 more source

Partially nonexpansive mappings

open access: yesAdvances in the Theory of Nonlinear Analysis and its Application, 2022
It is defined a class of generalized nonexpansive mappings, which properly contains those defined by Suzuki in 2008, and that preserves some of its fixed point results.
openaire   +2 more sources

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