Results 21 to 30 of about 4,222,348 (161)

Directional Differentiability of the Metric Projection in Uniformly Convex and Uniformly Smooth Banach Spaces [PDF]

open access: yes, 2023
Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. Let Pc from X to C denote the (standard) metric projection operator.
Li, Jinlu
core   +1 more source

Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces

open access: yesJournal of Applied Mathematics, 2013
We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +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

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Stability Results and Reckoning Fixed Point Approaches by a Faster Iterative Method with an Application

open access: yesAxioms, 2023
In this manuscript, we investigate some convergence and stability results for reckoning fixed points using a faster iterative scheme in a Banach space. Also, weak and strong convergence are discussed for close contraction mappings in a Banach space and ...
Hasanen A. Hammad, Doha A. Kattan
doaj   +1 more source

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

The New Iterative Approximating of Endpoints of Multivalued Nonexpansive Mappings in Banach Spaces

open access: yesUniversal Journal of Mathematics and Applications, 2022
The purpose of this paper is to introduce the new iteration process to approximate endpoints of multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems of proposed iterative scheme under some suitable assumptions
Makbule Kaplan
doaj   +1 more source

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

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

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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