Fixed-point theorems for multifunctions in S-KKM class

Huang, Young-Ye; Jeng, Jyh-Chung

doi:10.1016/s0362-546x(99)00318-1

Cited by 23 publications

(14 citation statements)

References 18 publications

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“…(37) Since the Belinfante's energy momentum tensor is equivalent with the metric energy momentum tensor, we here employ the Belinfante's energy momentum tensor constructed by [12] T ab B = T…”

Section: Energy Momentum Tensor Via the Belinfante's Constructionmentioning

confidence: 99%

On the Quantum Theory of Massless Spin-3/2 Field in Minkowski Spacetime

Wei-gang

Sun

Zhang

2006

Int. J. Geom. Methods Mod. Phys.

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From the modern viewpoint and by the geometric method, this paper provides a concise foundation for the quantum theory of massless spin-3/2 field in Minkowski spacetime, which includes both the one-particle's quantum mechanics and the many-particle's quantum field theory. The explicit result presented here is useful for the investigation of spin-3/2 field in various circumstances such as supergravity, twistor programme, Casimir effect, and quantum inequality.

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Section: Energy Momentum Tensor Via the Belinfante's Constructionmentioning

confidence: 99%

On the Quantum Theory of Massless Spin-3/2 Field in Minkowski Spacetime

Wei-gang

Sun

Zhang

2006

Int. J. Geom. Methods Mod. Phys.

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“…In addition, we also note that corresponding results in the existing literature for Birkhoff-Kellogg problems and the Leray-Schauder alternative have been studied comprehensively by Granas and Dugundji [48], Isac [54], Park [89]- [91], Carbone and Conti [20], Chang and Yen [25], Chang et al [26]- [27], Kim et al [59], Shahzad [109]- [107],…”

Section: Best Approximation For the Classes Of 1-set Contractive Mapp...mentioning

confidence: 63%

Nonlinear Analysis by Applying Best Approximation Method in p-Vector Spaces

Yuan

2022

Preprint

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It is known that the class of p-vector spaces (0 < p ≤ 1) is an important generalization of usual norm spaceswith rich topological and geometrical structure, but the most tools and general principles with nature in nonlinearity have not been developed yet, the goal of this paper is to develop some useful tools in nonlinear analysisby applying the best approximation approach for the classes of 1-set contractive set-valued mappings in p-vectorspaces. In particular, we first develop the general fixed point theorems of condensing mappings which provideanswer to Schauder conjecture in 1930’s in the affirmative way under the setting of p-vector spaces. Then one bestapproximation result for upper semi-continuous and 1-set contractive set-valued is established, which is used as auseful tool to establish fixed points of non-self set-valued mappings with either inward or outward set conditions,and related various boundary conditions. AMS Classification: 47H04, 47H10, 46A16, 46A55, 49J27, 49J35, 52A07, 54C60, 54H25, 55M20

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“…Definition 1. 4. If E, C is an abstract convex space with a uniformity U, then we say that E, C is an abstract convex uniform space.…”

Section: Remark 12 It Is Clear That Ifmentioning

confidence: 99%