We prove, using the fixed point approach, some results on hyperstability （in normed spaces） of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characteriza...We prove, using the fixed point approach, some results on hyperstability （in normed spaces） of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces.展开更多
In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the result...In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.展开更多
In [1],a family of angles are defined in normed linear spaces. In this paper,it is shown that if anyone of the angles satisfies certain euclidean triangle congruence properties,the space must be an inner product space.
Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz’s inequality is pro...Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz’s inequality is provided. The results obtained in the paper complement and improve some recent work about this topic.展开更多
In this paper,we obtain some new fixed point theorems in fuzzy-Banach spaces by considering the t-norms of h-type and a linear mapping of weakly demicompact.
The paper provides an interpretation of Leibniz＇s account of space that extends beyond the predominant interpretations in terms of the relativity of space, and the latter is mainly understood through the differential...The paper provides an interpretation of Leibniz＇s account of space that extends beyond the predominant interpretations in terms of the relativity of space, and the latter is mainly understood through the differential perspective of each monad＇s extrinsic denominators. This is attained by a thorough explication of the principle of indiscernibles, the abolition of the principle of locality, the advanced conception ofentelecheia in late Leibniz, and the character of the perception of each monad, which allow to discover in Leibniz＇s idea of space the notion of the hologram, and the holographic interconnectedness of things in the Universe.展开更多
A new concept of the X-M-PN space is introduced, and the acute angle principle in the X-M-PN space is proved. Meanwhile, some new results are obtained.
The presence of wrinkles in the membrane is the main factor to induce the reflector surface inaccuracy of the space inflatable antenna.Based on the commercial finite element package ABAQUS,a numerical procedure for me...The presence of wrinkles in the membrane is the main factor to induce the reflector surface inaccuracy of the space inflatable antenna.Based on the commercial finite element package ABAQUS,a numerical procedure for membrane wrinkle analysis was set up and used to analyze a space inflatable antenna which was under inner pressure to evaluate its wrinkle characteristics.First,the inner pressure effect on the reflector's wrinkle pattern was studied thoroughly.As inner pressure increases,both the number and the amplitude of the wrinkles decrease,but the total deformation of the whole reflector surface increases much.Second,the influence of the interactions between antenna's parts was investigated comprehensively.Any kind of unwanted interaction deteriorates reflector's wrinkle characteristics.The works are valuable to the development and research of the space inflatable antenna.展开更多
文摘We prove, using the fixed point approach, some results on hyperstability （in normed spaces） of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces.
基金Project supported by the Natural Science Foundation of Yibin University (No. 2009Z01)
文摘In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.
文摘In [1],a family of angles are defined in normed linear spaces. In this paper,it is shown that if anyone of the angles satisfies certain euclidean triangle congruence properties,the space must be an inner product space.
基金The NNSF (10271053) of China and the Science Foundation (HGDJJ03001) of Naval University of Engineering.
文摘Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz’s inequality is provided. The results obtained in the paper complement and improve some recent work about this topic.
文摘In this paper,we obtain some new fixed point theorems in fuzzy-Banach spaces by considering the t-norms of h-type and a linear mapping of weakly demicompact.
文摘The paper provides an interpretation of Leibniz＇s account of space that extends beyond the predominant interpretations in terms of the relativity of space, and the latter is mainly understood through the differential perspective of each monad＇s extrinsic denominators. This is attained by a thorough explication of the principle of indiscernibles, the abolition of the principle of locality, the advanced conception ofentelecheia in late Leibniz, and the character of the perception of each monad, which allow to discover in Leibniz＇s idea of space the notion of the hologram, and the holographic interconnectedness of things in the Universe.
文摘A new concept of the X-M-PN space is introduced, and the acute angle principle in the X-M-PN space is proved. Meanwhile, some new results are obtained.
基金the National Natural Science Foundation of China(Nos. 50878128 and 50808122)the Shanghai Committee of Science and Technology(No. 06DZ22105)
文摘The presence of wrinkles in the membrane is the main factor to induce the reflector surface inaccuracy of the space inflatable antenna.Based on the commercial finite element package ABAQUS,a numerical procedure for membrane wrinkle analysis was set up and used to analyze a space inflatable antenna which was under inner pressure to evaluate its wrinkle characteristics.First,the inner pressure effect on the reflector's wrinkle pattern was studied thoroughly.As inner pressure increases,both the number and the amplitude of the wrinkles decrease,but the total deformation of the whole reflector surface increases much.Second,the influence of the interactions between antenna's parts was investigated comprehensively.Any kind of unwanted interaction deteriorates reflector's wrinkle characteristics.The works are valuable to the development and research of the space inflatable antenna.
