Results 51 to 60 of about 1,166 (111)

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

open access: yesFixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Finite Ball Intersection Property of the Urysohn Universal Space [PDF]

open access: yes, 2014
In a paper published posthumously, P.S. Urysohn constructed a complete, separable metric space that contains an isometric copy of every complete separable metric space, nowadays referred to as the Urysohn universal space.
Aksoy, Asuman Guven, Ibragimov, Zair
core  

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

open access: yesFixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong   +1 more
doaj  

Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces

open access: yesArab Journal of Mathematical Sciences, 2018
In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems.
Anupam Sharma
doaj  

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo   +2 more
doaj   +1 more source

Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

open access: yesOpen Mathematics, 2016
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai   +2 more
doaj   +1 more source

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol   +2 more
doaj  

Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject.
Ranjbar Sajad
doaj   +1 more source

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

Cyclic pairs and common best proximity points in uniformly convex Banach spaces

open access: yesOpen Mathematics, 2017
In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa   +3 more
doaj   +1 more source

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