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- Logical metric space is an importent frame in approximate reasoning. 摘要邏輯度量空間是近似推理的重要框架。
- Let A(u),u U be perturbation subests of a linear metric space E and C(u), U be perturbation comex cones of E . 設A(u),uU,是線(xiàn)性度量空間E中的受擾動(dòng)的非空子集。 C(u),uE從是E中受優(yōu)動(dòng)的凸錐。
- Methods The commutative condition of selfmapping pairs are applied in metric space. 方法利用度量空間中自映象對的可交換性條件。
- Aim In order to develop and improve the fixed point theorem in metric space and extend the application. 摘要目的為了進(jìn)一步發(fā)展和完善度量空間中的不動(dòng)點(diǎn)理論,擴展不動(dòng)點(diǎn)定理的應用范圍。
- Metric space is a specific topological space, and it is an important process to understand topological space. 摘要度量空間是一類(lèi)特殊的拓撲空間,并且它是理解拓撲空間的一個(gè)重要過(guò)程。
- In section 2.2, it is proved that if an expansive homeomorphism of a compact metric space have the POTP, then it has the POTP in its basic sets. 2節證明了:對于緊致度量空間上的自同胚,若它有偽軌跟蹤性且是膨脹的,則它在鏈分支上保持偽軌跟蹤性。
- The reals are a contractible (hence connected and simply connected), separable metric space of dimension 1, and are everywhere dense. 由于實(shí)數集中只有可數集個(gè)數的元素可能是代數數,絕大多數實(shí)數是超越數。
- It is proved that a homeomorphism on a compact metric space with the average shadowing property has only one chain component which is the whole space. 證明了緊致度量空間上具有平均偽軌跟蹤性質(zhì)的同胚只有一個(gè)鏈分支,這個(gè)鏈分支就是全空間。
- In finite dimensional space form a bounded open domain, we study some open convex subsets and it's topology, then give a complete metric space. 摘要考慮了在有限維空間中包含在某一有界開(kāi)區域中的所有有界開(kāi)凸子集所成空間上的拓撲,給出了一個(gè)相關(guān)的完備的度量空間。
- The fixed point theorems on a class of contraction mappings on the metric space is proved,which contain Matkowski's,Boyd and Wong's,Dugundji and Granas' fixed point theorems. 證明了度量空間中一類(lèi)收縮映像的不動(dòng)點(diǎn)定理,它包含Matkowski不動(dòng)點(diǎn)定理、Boyd-Wong不動(dòng)點(diǎn)定理及Dugundji-Granas不動(dòng)點(diǎn)定理
- Results Three selfmappings theorem of existing and unique of common fixed point were buit, a new theorem of common fixed point in compact metric space was obtained. 結果建立了緊度量空間中3個(gè)自映象的公共不動(dòng)點(diǎn)的存在性和唯一性定理,得到了一個(gè)新的公共不動(dòng)點(diǎn)定理。
- By the parametric representation, fuzzy number means a bounded continuous curve in the two-dimensional metric space R2, so that it is easy to analyze fuzzy differential equations. 在此參數表示下,模糊數可直接視為二維度量空間R2中的有界連續曲線(xiàn),這給分析模糊微分方程帶來(lái)了便利。
- In this paper, common fixed point theorems for converse commuting selfmaps on a metric space have been proved. The theorems are different from the related results. 摘要通過(guò)引入度量空間中的反交換映射,證明了一個(gè)公共不動(dòng)點(diǎn)定理。這一結果不同于相關(guān)的文獻。
- Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of,while is complete metric space. 研究了在完備度量空間中一對模糊映象滿(mǎn)足一些特定不等式條件,以及當其截集是中非空有界閉集時(shí),該對模糊映象的公共不動(dòng)點(diǎn)的存在性問(wèn)題。
- Carisiti's coincidence theorems for fuzzy mappings in probabilistic metric space is given. The main theorems improve and generalize the corresponding results. 給出概率度量空間中模糊影射的克里斯蒂重合定理;這些結果提高和推廣了相應的結果.
- The existence of fixed points and approximate fixed points of a commutative family of nonexpansive maps and of continuous map in hyperconvex metric space is discussed. 研究超凸空間中非擴張映象及連續映象的不動(dòng)點(diǎn)、近似不動(dòng)點(diǎn)的存在性,推廣了部分現有的結果。
- These results improve and generalize the theories of images of generalized metric spaces. 這些結果改進(jìn)并推廣了廣義度量空間映射象的有關(guān)理論。
- In the present paper, some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces. 文章給出了超凸度量空間中的一些變分不等式定理和極大極小不等式定理.
- Xu, at el but also give an affirmative answer to the open question of Rhoades_Naimpally_Singh in convex metric spaces. Xu等人的相應結果 ,而且對Rhoades_Naimplally_Singh所提出的公開(kāi)問(wèn)題 ,在凸度量空間的框架下給出了肯定的答復·
- As their applications, we get the fixed point theorems of increasing mappings in the probabilistic metric spaces. 作為其應用,得到了概率度量空間中增映射的幾個(gè)不動(dòng)點(diǎn)定理。