• 대한수학회논문집
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• 제25권2호
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• pp.313-325
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• 2010

General models for the relaxed proximal point algorithm using the notion of relative maximal accretiveness (RMA) are developed, and then the convergence analysis for these models in the context of solving a general class of nonlinear inclusion problems differs significantly than that of Rockafellar (1976), where the local Lipschitz continuity at zero is adopted instead. Moreover, our approach not only generalizes convergence results to real Banach space settings, but also provides a suitable alternative to other problems arising from other related fields.

• Kyungpook Mathematical Journal
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• 제55권2호
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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.

• East Asian mathematical journal
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• 제28권1호
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• pp.81-92
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• 2012

The purpose of this paper is to establish strong convergence of an implicit iteration process to a common fixed point for a finite family of asymptotically quasi-nonexpansive type mappings in CAT(0) spaces. Our results improve and extend the corresponding results of Fukhar-ud-din et al. [15] and some others from the current literature.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권3호
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• pp.195-206
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• 2014

In this paper, we consider, under a hybrid iterative scheme with errors, a weak convergence theorem to a common element of the set of a finite family of asymptotically k-strictly pseudo-contractive mappings and a solution set of an equilibrium problem for a given bifunction, which is the approximation version of the corresponding results of Kumam et al.

• 융합신호처리학회 학술대회논문집
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• 한국신호처리시스템학회 2003년도 하계학술대회 논문집
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• pp.86-89
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• 2003

타일링을 통해 손실 압축된 데이터에 대해 점대칭 확장(point symmetric extension)을 사용하면 경계에서의 인공물(artifact)들을 줄일 수 있다 실제 확장 샘플 없이 경계 필터(boundary filter)를 사용하는 것과 같은 효과를 내는 방법을 리프팅(lifting)을 사용하여 수행할 수 있다. 본 논문에서 사용된 필터는 PR 특성을 준수하고, 경계근처에서 어떠한 후처리 기술이나 이웃하는 타일들로부터의 추가정보 없이 경계 인공물들을 현저히 감소시켰다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제16권3호
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• pp.307-314
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• 2009

The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].

• Kyungpook Mathematical Journal
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• 제59권3호
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• pp.445-464
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• 2019

In this paper, we propose a new iterative algorithm generated by a finite family of accretive operators in a q-uniformly smooth Banach space. We prove the strong convergence of the proposed iterative algorithm. The results presented in this paper are interesting extensions and improvements of known results of Qin et al. [Fixed Point Theory Appl. 2014(2014): 166], Kim and Xu [Nonlinear Anal. 61(2005), 51-60] and Benavides et al. [Math. Nachr. 248(2003), 62-71].

• 대한수학회논문집
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• 제37권2호
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• pp.415-421
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• 2022

This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the M_α-integral using the M_α-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform M_α-strong Lusin condition was imposed.

• Nonlinear Functional Analysis and Applications
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• 제28권3호
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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.

• East Asian mathematical journal
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• 제25권1호
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• pp.97-105
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• 2009

In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.