Optimality Conditions and Subdifferential Calculus for Infinite Sums of Functions
将优化理论中常用的解耦技术扩展到无穷函数集合，给出了无穷和函数局部极小的模糊次微分必要条件（乘子规则）和模糊次微分和规则，无需传统Lipschitz连续性假设。
Abstract The paper extends the widely used in optimisation theory decoupling techniques to infinite collections of functions. Extended concepts of uniform lower semicontinuity and firm uniform lower semicontinuity are discussed. The main theorems give fuzzy subdifferential necessary conditions (multiplier rules) for a local minimum of the sum of an infinite collection of functions and fuzzy subdifferential sum rules without the traditional Lipschitz continuity assumptions. More subtle “quasi” versions of the uniform infimum and uniform lower semicontinuity properties are also discussed.