Results 21 to 30 of about 177,533 (329)

Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in Euclidean space [PDF]

, 2014
We prove $\epsilon$-closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is $\delta$-small compared to the mean curvature.
Scheuer, Julian
core   +4 more sources

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

Abstract 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

Application of the product net technique and Kadec–Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces

Journal of Inequalities and Applications, 2019
Let Y be a uniformly convex multi-Banach space which has not a Frechet differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y.
H. M. Kenari, Reza Saadati, Choonkil Park   +2 more
doaj   +1 more source

Fixed points and common points for fundamentally nonexpansive mappings on banach spaces [PDF]

Journal of Hyperstructures, 2015
In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact ...
Moohammad Moosaei
doaj   +1 more source

Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces

International 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

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

Abstract 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, A. E. Al-Mazrooei, A. A. N. Abdou, A. Latif   +3 more
doaj   +1 more source

Partial Mielnik Spaces and Characterization of Uniformly Convex Spaces [PDF]

Proceedings of the American Mathematical Society, 1976
We characterize uniform convexity of normed linear spaces in terms of a functional inequality generalizing Clarkson’s inequality for L p {L_p} spaces. This inequality can be interpreted as saying that the unit sphere of the space carries a structure slightly weaker than a probability space in the ...
Blass, A. R., Stanojevic, C. V.
openaire   +1 more source

Examples of k-iterated spreading models

, 2011
It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
core   +1 more source

The Bishop-Phelps-Bollob\'{a}s property for operators on $C(K)$ [PDF]

, 2014
We provide a version for operators of the Bishop-Phelps-Bollob\'{a}s Theorem when the domain space is the complex space $C_0(L)$. In fact we prove that the pair $(C_0(L), Y)$ satisfies the Bishop-Phelps-Bollob\'{a}s property for operators for every ...
Acosta, Maria D.
core   +1 more source

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

Discrete 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, Sezgin Akbulut, Hukmi Kiziltunc   +2 more
doaj   +1 more source