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Total asymptotically nonexpansive mappings in uniformly convex metric spaces
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Politechnica University of Bucharest
, 2019 , Article)
We approximate common fixed point of a pair of total asymptotically nonexpansive mappings in the setting of a uniformly convex metric space. The proposed algorithm is computationally simpler than the existing ones in the ...
Convergence theorems for nonself asymptotically nonexpansive mappings
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Elsevier B.V.
, 2007 , Article)
In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the ...
An iterative method for common solution to various problems
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Jangjeon Mathematical Society
, 2019 , Article)
In this paper, we introduce a new iterative method to find a common solution of a generalized mixed equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for demicontinuous nearly ...
On Mixed Equilibrium Problems in Hadamard Spaces
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Hindawi Limited
, 2019 , Article)
The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator ...
Existence and approximation results for SKC mappings in CAT(0) spaces
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Springer International Publishing
, 2014 , Article)
Recently, Karap?nar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In this paper, we investigate SKC mappings to get a criterion ...
On convergence of an implicit iterative algorithm for non self asymptotically non expansive mappings
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Hacettepe University
, 2014 , Article)
In this paper, we study an implicit iterative algorithm for two nite families of nonself asymptotically nonexpansive mappings. We prove some weak and strong convergence theorems for this iterative algo- rithm. Our results ...
Simpler is also better in approximating fixed points
(
Elsevier
, 2008 , Article)
In this paper we demonstrate that a number of fixed point iteration problems can be solved using a modified Krasnoselskij iteration process, which is much simpler to use than the other iteration schemes that have been defined
On fixed points of Berinde's contractive mappings in cone metric spaces
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North University of Baia Mare
, 2010 , Article)
In this paper we establish some common fixed point theorems for two self-mappings satisfying a generalized contractive condition. This result generalizes well known comparable results in the literature. As an application, ...
Weak and strong convergence theorems for generalized nonexpansive mappings
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Universitatii Al.I.Cuza din Iasi
, 2016 , Article)
We consider a class of generalized nonexpansive mappings introduced by Karapinar and seen as a generalization of Suzuki (C)-condition. We prove some weak and strong convergence theorems for approximating fixed points of ...
A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
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Hindawi Publishing Corporation
, 2008 , Article)
We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally ...