Lipschitz implicit function theoremSemi-inner productBanach spaceThis paper presents several Lipschitz implicit function theorems for maps between Banach spaces. The results use semi-inner products as a means fo
(3.1.10) Implicit Function Theorem Let X, Y, and Z be Banach spaces. Suppose f(x, y) is a continuous mapping of a neighborhood U of (x0, y0) in X× Y into Z, f(x0, y0) = 0, and fy(x0, y0) exists is continuous in x and is a linear homeomorphism of Y onto Z. Then...
2.The existence of classical solutions to non-divergence quasilinear parabolic equation of second order has been proved by basic knowledge of non-linear functional analysis and implicit function theorem in banach spaces.用非线性泛涵分析的基本知识和Banach空间上的隐函数定理证明了非散度型拟线性抛物型方程...
The existence of classical solutions to non-divergence quasilinear parabolic equation of second order has been proved by basic knowledge of non-linear functional analysis and implicit function theorem in banach spaces. 用非线性泛涵分析的基本知识和Banach空间上的隐函数定理证明了非散度型拟线性抛物型方程...
p pIn this paper, a new implicit iteration process with errors for finite families of strictly asymptotically pseudocontractive mappings and nonexpansive mappings is introduced. By using the iterative process, some strong convergence theorems to approximating a common fixed point of strictly asymptotically...
A generalized proximal point algorithm and implicit iterative schemes for a sequence of operators on Banch spaces, Set-Valued Anal - Kimura, Takahashi () Citation Context ... mapping. They proved that the sequence {xn} generated by (1.6) converges strongly to some point in F(S)∩VI(K,A)...
(x^). We prove an existence theorem in the setting of Banach spaces where no continuity or monotonicity assumption is required on the multifunction Ф. Our result extends to non-compact and infinite-dimensional setting a previous results of the authors (Theorem 3.2 of Cubbiotti and Yao [15]...
arXiv:math/0511218v2 [math.FA] 27 Apr 2007Finite order differentiability properties,fixed points and implicit functionsover valued fieldsHelge Gl¨ ocknerAbstractWe prove an implicit function theorem for Ck-maps from arbitrary topo-logical vector spaces over valued fields to Banach spaces (for k ...
在Banach空间中并在不具紧性的条件下,引入和研究了一类fuzzy多值隐拟变分包含及相应的fuzzy隐预解算子方程,借助预解算子技巧,建立了Banach空间中fuzzy多值隐拟变分包含与预解算子方程的等价性,得到了该类fuzzy多值隐拟变分包含的迭代算法与某些解的存在性定理及解的迭代逼近。3...
Random implicit function theorems in Asplund spaces with applications 2013, Journal of Nonlinear and Convex Analysis Stability of Implicit Multifunctions in Banach Spaces 2012, Journal of Optimization Theory and Applications Lyusternik-graves theorem and fixed points II 2012, Journal of Convex AnalysisVi...