Results 11 to 20 of about 73,275 (204)
On nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1976 A generalized Hilbert space property is used to analyze nonexpansive mappings in certain settings. In particular it is shown that in l 1
L A. Karlovitz
openaire +3 more sources
Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
Journal of Function Spaces, 2022 In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in
Naeem Saleem +3 more
doaj +2 more sources
Iterated nonexpansive mappings [PDF]
Journal of Fixed Point Theory and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomás Domínguez Benavides +1 more
core +5 more sources
On Multivalued Nonexpansive Mappings in ℝ‐Trees [PDF]
Journal 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 +5 more sources
On the Weak Relatively Nonexpansive Multivalued Mappings in Banach Spaces [PDF]
Abstract and Applied Analysis, 2012 In recent years, the definition of relatively nonexpansive multivalued mapping and the definition of weak relatively nonexpansive multivalued mapping have been presented and studied by many authors.
Yongfu Su
doaj +2 more sources
Common fixed points for nonexpansive type fuzzy mappings
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type
Byung Soo Lee +3 more
doaj +2 more sources
On extremal nonexpansive mappings
Zeitschrift für Analysis und ihre AnwendungenWe study the extremality of nonexpansive mappings on a non-empty bounded, closed, and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon–Nikodym property and all
Christian Bargetz +2 more
core +4 more sources
About Some Families of Nonexpansive Mappings with respect to Renorming [PDF]
Journal of Function Spaces, 2016 We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent norms.
Juan Rafael Acosta-Portilla +2 more
doaj +3 more sources
A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces [PDF]
Journal of Inequalities and Applications, 2010 We introduce a new composite iterative scheme by the viscosity approximation method for nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point ...
Jong Soo Jung
doaj +3 more sources
Convergence of Infinite Products of Uniformly Locally Nonexpansive Mappings
MathematicsThe generic convergence of infinite products of nonexpansive mappings was established in a 1999 paper of ours. In the present paper, such results are extended to infinite products of uniformly locally nonexpansive mappings. In particular, the convergence
Simeon Reich, Alexander J. Zaslavski
doaj +2 more sources