Completely monotone functionsThis paper concerns three classes of real-valued functions on intervals, operator monotone functions, operator convex functions, and strongly operator convex functions. Strongly ope
Convex Functions, Monotone Operators and Differentiability Lecture Notes in Mathematics Volume 1364, 1989, pp 17-39 Monotone operators, subdifferentials and Asplund spaces Robert R. Phelps $29.95 / €24.95 / £19.95 * * Final gross prices may vary according to local VAT. Get Access ...
“This book is devoted to a review of basic results and applications of convex analysis, monotone operator theory, and the theory of nonexpansive mappings in Hilbert spaces. … Each chapter concludes with an exercise section. Bibliographical pointers, a summary of symbols and notation, an index, ...
证明:由inff(C)的定义,存在序列(xn)n∈N⊆C使得f(xn)→inff(C)。 序列(xn)n∈N也为C中的网,因而由C是紧集得:存在子网(xk(b))b∈B→x∈C。 因而由f的下半连续性有f(x)⩽lim inff(xk(b))=limf(xk(b))=inff(C)。 又由x∈C有f(xk(b))→inff(C)⩽f...
1.The Construction of Practical Strengthening Buffer Operator Based on the Monotone Function基于单调函数的若干实用强化缓冲算子的构造 2.The method can not only rank fuzzy numbers with the membership functions taking some special forms,such as triangular,trapezoidal,etc,but also can compare those fuzzy ...
This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is presented, that allows for a wide range of algorithms to construct solutions to problems in optimization, ...
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Convex Functions, Monotone Operators and DifferentiabilityConvex Analysis and Monotone Operator Theory in Hilbert SpaceMonotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative SystemsThe computational structure of monotone monadic SNP and constraint satisfaction: A study through ...
convex functions. Set-Valued Anal. 13(1), 21–46 (2005) Article MathSciNet MATH Google Scholar Marques Alves, M., Svaiter, B.F.: Bronsted–Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces. J. Convex Anal. 15(4), ...
5) Harmconic convex function 调和凸函数6) monotone function 单调函数 1. The Construction of Practical Strengthening Buffer Operator Based on the Monotone Function 基于单调函数的若干实用强化缓冲算子的构造 2. The method can not only rank fuzzy numbers with the membership functions taking some ...