• 제목/요약/키워드: Differential inequality

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INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass;Ojen K. Narain;Olayinka M. Onifade
    • Nonlinear Functional Analysis and Applications
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    • 제28권2호
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    • pp.497-520
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    • 2023
  • Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

부산시 거주공간분화의 시대사적 함의 (Historical Implications of Residential Segregation in Busan, Korea)

  • 배미애
    • 한국지역지리학회지
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    • 제13권5호
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    • pp.477-494
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    • 2007
  • 본 논문은 부산시를 대상으로 1900년대 초(구한말)부터 현재에 이르기까지 거주지역의 불평등한 현상을 거주분화의 개념을 중심으로 사회공간적으로 분석한다. 부산은 1900년대 초 조선 전통사회의 성격을 이어받아 신분사회의 계층질서에 의한 거주선택의 제한으로 불평등한 거주공간이 형성되었다. 이후 일제에 의한 신시가지의 형성으로 기존의 한국인 거주지와 분리되는 현상을 경험하였으며 일본인과 한국인, 그리고 중국인 거주지역으로 구분되는 민족별 분화 현상도 나타났다. 해방과 한국전쟁 이후 급속하게 인구가 증가함으로써 새로운 빈민거주지역이 등장하였고 이는 이후에 전개될 거주지 분화의 주요 요인으로 작용하게 된다. 빈민지역의 문제를 해소하기 위해 1960년대부터 실시한 정책이주는 제도상의 결점으로 인하여 큰 효과를 보지 못하였다. 1990년 이후 주민의 사회경제적 지위는 주택선택에 영향을 주어 주택계층에 의한 거주지역분화를 가능하게 하였다. 중간주택계층보다는 상 하위 주택계층이 거주공간의 불평등한 분포에 큰 영향을 주었다. 맥락적이고 시계열적인 접근방법을 시도하여 거주공간의 사회공간적 불평등에 관한 인과성을 파악하려고 시도한 본 연구는 미래에 전개될 거주공간패턴을 예측하고 다른 도시들의 거주공간연구에 도움을 줄 것으로 예상된다.

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중국 도·농 간 소득격차에 영향을 미치는 요인 (Factors Effect on Income-Gap Between Urban and Rural Area in China)

  • 남설봉;나승화
    • 한국프랜차이즈경영연구
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    • 제6권1호
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    • pp.21-41
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    • 2015
  • The purpose of the study is to review the real situations of the income-gap between urban and rural areas which is focused on as one of the biggest issues revealed in the process of Chinese economic development and to find out which factors will alleviate or deteriorate such income-gap, also to find out such factors will effect differently on the regional characteristics. To analyze it, six factors such as industrialization-ratio, urbanization-ratio, tertiary industry-ratio, the level of both governmental educational support and agricultural support, and Chinese dual-economic structure are considered as explanatory variables, and OLS regression analysis was implemented to the factor data for the period of 1986-2007 about Chinese 31 districts(castles and cities). The results of the analysis show that both industrialization factors and urbanization factors affect significantly to alleviate income-gap between urban and rural areas, and as predicted, they also shows that dual-economic structure between urban and rural areas is the most biggest factors to enlarge the above mentioned income-gap. However, in accordance to the different level of economic development in eastern, central, and western districts the study shows that such factors will affect them differently respectively. The contents are as follows; In eastern district governmental educational support factor will affect the most great influence to alleviate the income-gap, in central district industrialization factor will affect the most great influence to alleviate the gap, and western district governmental agricultural support factor will affect the most great influence to alleviate the gap. Therefore, in solving the issue of income-gap between urban and rural areas in China we recommend that it is necessary for more differential policy in considering regional characteristics than unilateral policy to Chinese whole areas.

생산자서비스 산업의 차별적 성장과 공무적 분업화에 관한 연구 (Regional Differential Growth and Spatial Division of Labor in Producer Service Industries)

  • 이희연
    • 지역연구
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    • 제6권2호
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    • pp.123-147
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    • 1990
  • This paper examines the changing geography of producer service industries in the 1980s. The foci of this study are to analyze the regional distribution of each producer services, and to reveal the spatial linkage of producer services. Further this paper asserts the potential role of producer services for reducing the potential endogenous development in the periphery. During the 1981-86 period, producer service industries grew more rapidly than other service sectors and manufacturing sector. The main reason of the raid growth of producer services is attributable to an increase in demand for intermediate services from manufacturing firms. In order to compete an increasingly complex business environment, firms have expanded the amount of effort devoted to activities such as planning, coordination and control, and consequently have increased their use of producer services. The most distinctive feature of the location of producer services is spatial concentration into Seoul and surrounding region. Especially the degree of the concentration o business services into the Capital Region has been accelerating during the 1990s. The pattern of employment growth and regional distribution of producer services show a clear core / periphery disparity. Much of the regional inequality in producer services is largely due to variation in demand associated with the pattern of corporation headquarters with the pattern of corporation headquarters and branch plants location with large manufacturing firms. The analysis of spatial division of labor reflects that producer services are related to the location of headquarters in manufacturing industry. Headquarters in manufacturing firms and business service firms tend to cluster each other. Most of the headquarters spatially separated from branch offices are clustered heavily in Seoul. Especially headquarters of business services and insurance services are overwhelmingly concentrated into Seoul. The firms whose headquarters are located in Seoul have a linkage pattern on a nationwide scale. It is viewed have little potential for generating local multiplier effects and regional development. In the light of the result of this study, producer services are not likely to disperse soon to peripheral regions. Consequently the absence of policies directed at enhancing producer sevice in the periphery, concentration tendency would continue to reinforce the core's dominance at the expense of peripheral regions. From a regional perspective, the quality of a region's producer service sector is a key determinant of economic growth, since manu industrial location decisions are influenced by the differential availability of producer services among regions. Poor performance of producer services in peripheral regions seemed to be linked to the region's manufacturing base. Low-wage, standardized branch plants are not likely to induce the growth in knowledge intensive services associated with high-technology corporate headquarters. Producer services may help to create and attract new business including manufacturing firms, and also to enhance the productivity and competitiveness of local firms. Therefore the provision of service producing activities would be lead not only to generate and retain endogenous development but also to attract external firms, especially small and medium sized firms which have a lower propensity of internalized services. Hence, it may be more efficient to create and expanse new locally owned producer services rather than to attract branch plants of mult-locational firms in order to make indigenous economic development.

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