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Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in banach spaces
Springer Science and Business Media LLC - Tập 2012 - Trang 1-8 - 2012
Yuan-Heng Wang, Yong-Hui Xia
The aim of this article is to give an answer to an interesting question proposed in Zhou. At the end of his article, he remarked that it was of great interest to extend his results to certain Banach spaces. So in this article, we extend the demiclosedness principle from Hilbert spaces to Banach spaces. A strong convergence theorem for asymptotical pseudo-contractions in Banach spaces is establishe...... hiện toàn bộ
Fixed-point theorems for the sum of two operators under ω-condensing
Springer Science and Business Media LLC - Tập 2013 - Trang 1-13 - 2013
Fuli Wang
The purpose of this paper is to establish fixed-point theorems for the sum of two operators A and B, where the operator A is assumed to be contractive with respect to the measure of weak noncompactness, while B is an φ-nonlinear contraction. In the last section, we apply such results to study the existence of solutions to a nonlinear Hammerstein integral equation in ...... hiện toàn bộ
A new iteration scheme for a hybrid pair of generalized nonexpansive mappings
Springer Science and Business Media LLC - - 2014
Izhar Uddin, Afrah A. N. Abdou, Mohammad Imdad
Abstract In this paper, we construct an iteration scheme involving a hybrid pair of nonexpansive mappings and utilize the same to prove some convergence theorems. In the process, we remove a restricted condition (called end-point condition) in Sokhuma and Kaewkhao’s results (Fixed Point Theory Appl. 2010:618767, 2010). Thus, our results generalized and im...... hiện toàn bộ
A Note on Asymptotic Contractions
Springer Science and Business Media LLC - Tập 2007 - Trang 1-6 - 2006
Marina Arav, Francisco Eduardo Castillo Santos, Simeon Reich, Alexander J Zaslavski
We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space to converge to its unique fixed point, uniformly on each bounded subset of .
On the orbits of -closure points of ultimately nonexpansive mappings
Springer Science and Business Media LLC - Tập 2006 - Trang 1-4 - 2006
MoTak Kiang
Let be a closed subset of a Banach space and an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the -closure of ...... hiện toàn bộ
Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
Springer Science and Business Media LLC - Tập 2010 Số 1
Worawut Laowang, Bancha Panyanak
AbstractSuppose that "Equation missing" is a nonempty closed convex subset of a complete CAT(0) space "Equation missing" with the nearest point projection "Equation missing" from "Equation missing" onto "Equatio...... hiện toàn bộ
Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces
Springer Science and Business Media LLC - - 2013
Long Wei, Satish Shukla, Stojan Radenović, Slobodan Radojević
Fixed point theorems in a new type of modular metric spaces
Springer Science and Business Media LLC - Tập 2018 - Trang 1-10 - 2018
Duran Turkoglu, Nesrin Manav
In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both c...... hiện toàn bộ
Applications of order-theoretic fixed point theorems to discontinuous quasi-equilibrium problems
Springer Science and Business Media LLC - - 2015
Congjun Zhang, Yuehu Wang
In this paper, we apply order-theoretic fixed point theorems and isotone selection theorems to study quasi-equilibrium problems. Some existence theorems of solutions to quasi-equilibrium problems are obtained on Hilbert lattices, chain-complete lattices and chain-complete posets, respectively. In contrast to many papers on equilibrium problems, our approach is order-theoretic and all results obtai...... hiện toàn bộ
Roots of mappings from manifolds
Springer Science and Business Media LLC - Tập 2004 - Trang 1-35 - 2004
Robin Brooks
Assume that is a proper map of a connected -manifold into a Hausdorff, connected, locally path-connected, and semilocally simply connected space ...... hiện toàn bộ
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