• Journal of applied mathematics & informatics
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• v.29 no.5_6
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• pp.1179-1191
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• 2011

In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a finite family of strict pseudocontractions and the solution set of pseudomonotone and Lipschitz-type continuous equilibrium problems. The scheme is based on the idea of extragradient methods and fixed point iteration methods. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.295-305
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• 2010

In this paper, we show that the modified Mann iteration with errors converges strongly to fixed point for uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings in real Banach spaces. Meanwhile, it is proved that the convergence of Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitzian asymptotically $\Phi$-pseudocontractive mappings in real Banach spaces. Finally, we obtain the convergence theorems of Ishikawa iterative sequence and the modified Ishikawa iterative process with errors.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.373-382
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• 2015

In this paper, we introduce and study a new multivalued mapping in $\mathbb{R}$-trees, called k-strictly pseudononspreading. We also introduce a new two-step iterative process for two k-strictly pseudononspreading multivalued mappings in $\mathbb{R}$-trees. Strong convergence theorems of the proposed iteration to a common fixed point of two k-strictly pseudononspreading multivalued mappings in $\mathbb{R}$-trees are established. Our results improve and extend the corresponding results existing in the literature.

• Nonlinear Functional Analysis and Applications
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• v.28 no.3
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• pp.685-702
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• 2023

This paper is concerned with fixed point results of a finite family of multi-valued Osilike-Berinde nonexpansive type mappings in hyperbolic spaces along with some numerical examples. Also strong convergence and ∆-convergence of a sequence generated by Alagoz iteration scheme are investigated.

• Journal of applied mathematics & informatics
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• v.7 no.2
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• pp.605-615
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• 2000

Let E be a real Banach space with property (U,${\lambda}$,m+1,m);${\lambda}{\ge}$0; m${\in}N$, and let C be a nonempty closed convex and bounded subset of E. Suppose T: $C{\leftrightarro}C$ is a strongly accretive map, It is proved that each of the two well known fixed point iteration methods( the Mann and Ishikawa iteration methods.), under suitable conditions , converges strongly to a solution of the equation Tx=f.

• Korean Journal of Mathematics
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• v.22 no.2
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• pp.235-252
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• 2014

In this paper, weak and strong convergence theorems of three step iteration process with errors are established for two weakly inward and non-self asymptotically nonexpansive mappings in Banach spaces. The results obtained in this paper extend and improve the several recent results in this area.

• Nonlinear Functional Analysis and Applications
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• v.27 no.4
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• pp.903-920
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• 2022

In this paper, we propose and study an implicit iteration process for a finite family of total asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in the intermediate sense in convex metric spaces and establish some strong convergence results. Also, we give some applications of our result in the setting of convex metric spaces. The results of this paper are generalizations, extensions and improvements of several corresponding results.

• Bulletin of the Korean Mathematical Society
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• v.51 no.2
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• pp.479-499
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• 2014

In this paper, we propose new iteration methods for finding a common point of the solution set of a pseudomonotone equilibrium problem and the solution set of a monotone equilibrium problem. The methods are based on both the extragradient-type method and the viscosity approximation method. We obtain weak convergence theorems for the sequences generated by these methods in a real Hilbert space.

• Honam Mathematical Journal
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• v.39 no.1
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• pp.1-25
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• 2017

In this paper, we introduce a new scheme namely: CUIA-iterative scheme and utilize the same to prove a strong convergence theorem for quasi contractive mappings in Banach spaces. We also establish the equivalence of our new iterative scheme with various iterative schemes namely: Picard, Mann, Ishikawa, Agarwal et al., Noor, SP, CR etc for quasi contractive mappings besides carrying out a comparative study of rate of convergences of involve iterative schemes. The present new iterative scheme converges faster than above mentioned iterative schemes whose detailed comparison carried out with the help of different tables and graphs prepared with the help of MATLAB.

• Proceedings of the IEEK Conference
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• 2000.09a
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• pp.51-54
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• 2000

차세대 초고속 무선 전송을 위한 OFDM (orthogonal frequency division multiplexing) 방식에서는 전송 신호의 진폭이 큰 PAPR (peak-to-average power ratio)을 갖게 되어 송신기에서 사용되는 고출력 증폭기의 비선형성에 의해 큰 왜곡을 받게 된다. 이러한 왜곡의 보상을 위하여 우리는 고정점 반복 (fixed point iteration)에 기반한 사전왜곡기 (predistorter)를 제안하였으나, 이는 고출력 증폭기의 특성이 변화하지 않는다는 가정에서 구현되었다. 본 논문에서는 구간 선형 근사에 기반하여 고출력 증폭기의 시변 특성을 추종하는 새로운 기법과 이렇게 근사된 고출력 증폭기 특성을 이용하는 적응적인 고정점 반복 사전왜곡기의 구현을 제안한다. 모의실험 결과, 제안된 고출력 증폭기 근사 방법은 랜덤한 증폭기 특성 변화를 매우 효과적으로 추종하며 이러한 근사 결과를 이용한 고정점 반복 사전왜곡기는 우수한 성능을 보임을 확인하였다.