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キショウ キコウ キバン モデル オ カツヨウ シタ ヤガイ カンキョウ ニ オケル ショクブツ ノ イデンシ ハツゲン ノ ヨソク
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ITERATIVE SCHEME GENERATING METHOD FOR CONTRACTION TYPE MAPPINGS IN BANACH SPACES
Get PDFWe introduce an iterative scheme generating method (ISGM) for contraction type mappings in Banach spaces. This marks the first time ISGM has been demonstrated in a Banach space setting. Our main theorem can apply to contraction mappings, Kannan mappings, etc., enabling to generate infinitely many iterative schemes for finding fixed points. Several corollaries are presented to show a wide variety of iterative methods which can be generated from the main theorems. We also introduce an application to a variational inequality problem (VIP), highlighting how the various iterative schemes covered in this work are directly useful in optimization techniques.technical repor
The Usefulness of Various Eggplant Varieties as Teaching Materials for Cultivation Studies in Living Environment Studies at Elementary School
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Dynamic Optimization of Consumption and Foreign Debt, and Renewable Resource Export in MSY Policy
Get PDFThe present paper studies the problems of dynamic optimization of consumption and foreign debt, and (natural) renewable resource export in the MSY policy of a small (developing ) country. Its fundamental model is formulated by utilizing a dynamic macro-economic model based on the two differential equations of Rauscher [1989] with an extension introducing an ecological management policy, namely the maximum sustainable yield (MSY) policy, and some other alterations.
The basic dynamic system of Rauscher [1989] is the two differential equation system with regard to the population growth of a (natural) renewable resource to be exploited and exported by a firm, and the accumulation of foreign debt through the international trade of exported resources and imported goods (of consumption and users’ costs) by a small (developing) country.
The introduction of the MSY policy into the model makes the dynamic system of its fundamental model so simple mathematically that the two equation basic dynamic system is simplified to one differential equation as its basic dynamic system. This means that its main dynamic system consists of one state variable, foreign debt stock (that is the accumulation of foreign debt), and one control variable, consumption flow. The other state variable is controlled directly by the MSY policy.
The main results are two theorems based upon three lemmas earned by the dynamic optimizing study of the fundamental dynamic system which consists of (1), (2), (3), (4), (6), and (7) with concerning assumptions and functions. Theorem 1 is nominally simpler than the result of Rauscher [1989] and asserts that, supposing the levels of two important parameters are moderate values, the long-run equilibrium of the system becomes a saddle point and a unique path to approach monotonically from the initial condition and reach the only equilibrium point. Such a unique path is the optimal time path or the optimal trajectory while maintaining the MSY policy for the small country.
Theorem 2 asserts that there are some comparative static effects of the important parameters upon the only long-run equilibrium of the system. Its foreign debt stock is not affected by the levels of resource price and profit rate, and the MSY at all, but is affected positively only by the utility discount rate over time. And then its consumption level is affected positively by the levels of resource price and profit rate, the effect of the level of the MSY is positive or zero, but is affected negatively only by the utility discount rate over time.departmental bulletin pape
Annotated Research Materials : How Many National Higher Commercial Colleges were there in Japan in the 20th Century? (1)
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シンカン ショウカイ クラクション オ ナラセ カワラナイ チュウコシャ ギョウカイ エノ テイゲン ナカノ ユウサク チョ ラスト 1 ギョウ デ ワカル メイサク 300 セン サイトウ ミナコ チョ
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テキスト データ ト オンセイ データ オ リヨウ シタ マルチ モーダル ジュギョウ ナイ カイワ コウゾウ カシ カ ノ ケンキュウ
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