• 제목/요약/키워드: weak and strong convergence

검색결과 111건 처리시간 0.03초

ON GENERALIZED (𝛼, 𝛽)-NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH APPLICATIONS

  • Akutsah, F.;Narain, O.K.
    • Nonlinear Functional Analysis and Applications
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    • 제26권4호
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    • pp.663-684
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    • 2021
  • In this paper, we present some fixed point results for a general class of nonexpansive mappings in the framework of Banach space and also proposed a new iterative scheme for approximating the fixed point of this class of mappings in the frame work of uniformly convex Banach spaces. Furthermore, we establish some basic properties and convergence results for our new class of mappings in uniformly convex Banach spaces. Finally, we present an application to nonlinear integral equation and also, a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature with different choices of parameters and initial guesses. The results obtained in this paper improve, extend and unify some related results in the literature.

봄철 제주도 서부해역의 수괴 분포와 수온역전 특징 (Distribution of Water Masses and Characteristics of Temperature Inversion in the Western Seas of Jeju Island in Spring)

  • 강소영;문재홍
    • Ocean and Polar Research
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    • 제44권3호
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    • pp.191-207
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    • 2022
  • Using the results of CTD casts made in Spring from 2017 to 2021, in this study we investigated the water mass distribution and occurrence of temperature inversion in the western seas of Jeju Island in spring. The distribution of water masses was characterized by cold and fresh water in the northwest and warm and saline water in the southeast, forming a strong thermohaline front running in the southwest-to-northeast direction. Strong temperature inversion mainly occurred in the frontal boundary when the cold water intrudes beneath the warm water at depths of 30-50 m. Analysis of the mixing ratio demonstrated that Jeju Warm Water is dominantly distributed in the western seas of Jeju Island, but its ratio can be modified depending on the southward extension of Yellow Sea Cold Water (YSCW). Results of in situ measurement showed that in 2020, the YSCW largely expanded to the western seas of Jeju Island, occupying approximately 40 % of the mixing ratio. Due to the expansion of YSCW, a strong thermohaline front was formed in the study area, thereby causing thick and strong temperature inversion. On the other hand, in 2018 the mixing ratio of YSCW was minimum (~18%) during the study period of 2017-2021, and thus a relatively weak frontal boundary was formed, without the occurrence of temperature inversion. The observational results also suggest that the interannual changes of water mass distribution and the associated temperature inversion in the western seas of Jeju Island are closely related with wind-driven Yellow Sea circulation in spring, which is the summer monsoon transition period.

ALTERNATED INERTIAL RELAXED TSENG METHOD FOR SOLVING FIXED POINT AND QUASI-MONOTONE VARIATIONAL INEQUALITY PROBLEMS

  • A. E. Ofem;A. A. Mebawondu;C. Agbonkhese;G. C. Ugwunnadi;O. K. Narain
    • Nonlinear Functional Analysis and Applications
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    • 제29권1호
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    • pp.131-164
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    • 2024
  • In this research, we study a modified relaxed Tseng method with a single projection approach for solving common solution to a fixed point problem involving finite family of τ-demimetric operators and a quasi-monotone variational inequalities in real Hilbert spaces with alternating inertial extrapolation steps and adaptive non-monotonic step sizes. Under some appropriate conditions that are imposed on the parameters, the weak and linear convergence results of the proposed iterative scheme are established. Furthermore, we present some numerical examples and application of our proposed methods in comparison with other existing iterative methods. In order to show the practical applicability of our method to real word problems, we show that our algorithm has better restoration efficiency than many well known methods in image restoration problem. Our proposed iterative method generalizes and extends many existing methods in the literature.

ON LIMIT BEHAVIOURS FOR FELLER'S UNFAIR-FAIR-GAME AND ITS RELATED MODEL

  • An, Jun
    • 대한수학회지
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    • 제59권6호
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    • pp.1185-1201
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    • 2022
  • Feller introduced an unfair-fair-game in his famous book [3]. In this game, at each trial, player will win 2k yuan with probability pk = 1/2kk(k + 1), k ∈ ℕ, and zero yuan with probability p0 = 1 - Σk=1 pk. Because the expected gain is 1, player must pay one yuan as the entrance fee for each trial. Although this game seemed "fair", Feller [2] proved that when the total trial number n is large enough, player will loss n yuan with its probability approximate 1. So it's an "unfair" game. In this paper, we study in depth its convergence in probability, almost sure convergence and convergence in distribution. Furthermore, we try to take 2k = m to reduce the values of random variables and their corresponding probabilities at the same time, thus a new probability model is introduced, which is called as the related model of Feller's unfair-fair-game. We find out that this new model follows a long-tailed distribution. We obtain its weak law of large numbers, strong law of large numbers and central limit theorem. These results show that their probability limit behaviours of these two models are quite different.

Revisiting Managerial Ownership and Firm Value in the Absence of Market Forces: Evidence from Singapore and Thailand

  • POLWITOON, Sirapat;TAWATNUNTACHAI, Oranee
    • The Journal of Asian Finance, Economics and Business
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    • 제7권8호
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    • pp.1-13
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    • 2020
  • This study examines the effect of managerial ownership on firm value in capital markets where outside governance mechanisms to discipline managers are weak or non-existent. We hypothesize that strong market forces in the U.S. confound the effect of managerial ownership on firm value, i.e., the convergence of interest argument. We test the hypothesis using data from 112 firms from Singapore Stock Exchange and 205 firms from the Stock Exchange of Thailand prior to the Asian financial crisis in 1997 when the market forces were weak, yet the investor protection was sufficient to prevent outright appropriation from management. For ease of comparison, we use methodologies from studies done on the U.S. sample firms during the same study period as ours. We find that, both in Singapore and Thailand, firm value is a function of managerial ownership, and the relation is of the famous inverted U-shaped. Moreover, the relation is robust under different model specifications. The results from Thai sample, with weaker market forces than in Singapore, lend support to many agency cost hypotheses advanced in the U.S. Our results provide useful implication for investors in emerging and frontier markets where outside governance mechanisms are yet to be fully developed.

한국과 미국 e-비즈니스 모델의 종단적 비교 분석에 관한 연구 (A Longitudinal Study on the e-Business Models of Korea and U.S.)

  • 신형배;황경태
    • Journal of Information Technology Applications and Management
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    • 제13권3호
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    • pp.107-127
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    • 2006
  • Understanding characteristics of Internet businesses from cross-cultural perspective could offer valuable insights on developing business strategy and policy. This work is concerned with revealing divergence and convergence of Internet business models in their financial performance, given organizational conditions and cultural context. For this, we studied the association between organizational attributes (core activity, origination, firm age, and industry) and their effects on a firm's financial performance (gross revenue and net income). Relevant data was gathered from representative Internet firms in Korea and U.S. Data analysis indicated that there exist both similarities and differences between Korea and U.S and year 2003 and 2006. While core activities and industry types of U.S. firms has not been changed much between the periods, Korean firms show much difference. In addition, while core activities and industry type were found to have strong relationship with financial performance, age and origination of a firm weak connections with financial performance. This study is expected to provide a foundation for developing more robust and systematic research model and performing further empirical research in this area.

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TCP 세션을 활용한 사설망 구간 CCTV 단말의 생사판별 알고리즘 (Device Alive Check Algorithm using TCP Session under CCTV Network based on NAT)

  • 신해준;정연기
    • 한국멀티미디어학회논문지
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    • 제18권5호
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    • pp.631-640
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    • 2015
  • Recently CCTV system is installed widely purpose to enhanced physical security, gathering criminal evidence and management of facilities. In spite of supporting strong management function, CCTV system has weak security function. Therefore high security management function is required. Generally it's not easy to control the devices under NAT using a NMS(Network Management System). So we design and implement alive check algorithm of CCTV devices under NAT using DVRNS address resolution and TCP session check. We evaluated and analyzed of developed system on real environment which includes about 100 DVRs under NAT. As a result of test, it showed that device alive check and DVRNS address resolution were well performed without any error.

A New Incremental Learning Algorithm with Probabilistic Weights Using Extended Data Expression

  • Yang, Kwangmo;Kolesnikova, Anastasiya;Lee, Won Don
    • Journal of information and communication convergence engineering
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    • 제11권4호
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    • pp.258-267
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    • 2013
  • New incremental learning algorithm using extended data expression, based on probabilistic compounding, is presented in this paper. Incremental learning algorithm generates an ensemble of weak classifiers and compounds these classifiers to a strong classifier, using a weighted majority voting, to improve classification performance. We introduce new probabilistic weighted majority voting founded on extended data expression. In this case class distribution of the output is used to compound classifiers. UChoo, a decision tree classifier for extended data expression, is used as a base classifier, as it allows obtaining extended output expression that defines class distribution of the output. Extended data expression and UChoo classifier are powerful techniques in classification and rule refinement problem. In this paper extended data expression is applied to obtain probabilistic results with probabilistic majority voting. To show performance advantages, new algorithm is compared with Learn++, an incremental ensemble-based algorithm.

Efficient Algorithms for Approximating the Centroids of Monotone Directions in a Polyhedron

  • Ha, Jong-Sung;Yoo, Kwan-Hee
    • International Journal of Contents
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    • 제12권2호
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    • pp.42-48
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    • 2016
  • We present efficient algorithms for computing centroid directions for each of the three types of monotonicity in a polyhedron: strong, weak, and directional monotonicity, which can be used for optimizing directions in many 3D manufacturing processes. Strongly- and directionally-monotone directions are the poles of great circles separating a set of spherical polygons on the unit sphere, the centroids of which are shown to be obtained by applying the previous result for determining the maximum intersection of the set of their dual spherical polygons. Especially in this paper, we focus on developing an efficient method for approximating the weakly-monotone centroid, which is the pole of one of the great circles intersecting a set of spherical polygons on the unit sphere. The original problem is approximately reduced into computing the intersection of great bands for avoiding complicated computational complexity of non-convex objects on the unit sphere, which can be realized with practical linear-time operations.

GENERALIZED 𝛼-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

  • Kim, Jong Kyu;Dashputre, Samir;Padmavati, Padmavati;Sakure, Kavita
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.449-469
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    • 2022
  • This paper deals with the new iterative algorithm for approximating the fixed point of generalized 𝛼-nonexpansive mappings in a hyperbolic space. We show that the proposed iterative algorithm is faster than all of Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur and Piri iteration processes for contractive mappings in a Banach space. We also establish some weak and strong convergence theorems for generalized 𝛼-nonexpansive mappings in hyperbolic space. The examples and numerical results are provided in this paper for supporting our main results.