变分分析
变分分析作者:[美] 洛克菲勒 (R.Tyrrell Rockafellar),[美] Roger J-B Wets 著 开 本:24开 书号ISBN:9787510061363 定价:99.0 出版时间:2013-10-01 出版社:世界图书出版公司 |
h* metric descriptions of convergence
i* operations on mappings
j* generic continuity and selections
commentary .
chapter 6. variational geometry
a. tangent cones
b. normal cones and clarke regularity
c. smooth manifolds and convex sets
d. optimality and lagrange multipliers
e. proximal normals and polarity
f. tangent-normal relations
g* recession properties
h* irregularity and convexification
i* other formulas
commentary
chapter 7. epigraphical limits
a. pointwise convergence
b. epi-convergence
c. continuous and uniform convergence
d. generalized differentiability
e. convergence in minimization
f. epi-continuity of function-valued mappings
g. continuity of operations
h* total epi-convergence
i* epi-distances
j* solution estimates
commentary
chapter 8. subderivatives and subgradients
a. subderivatives of functions
b. subgradients of functions
c. convexity and optimality
d. regular subderivatives
e. support functions and subdifferential duality
f. calmness
g. graphical differentiation of mappings
h* proto-differentiability and graphical regularity
i* proximal subgradients
j* other results
commentary
chapter 9. lipschitzian properties
a. single-valued mappings
b. estimates of the lipschitz modulus
c. subdifferential characterizations
d. derivative mappings and their norms
e. lipschitzian concepts for set-valued mappings
……
chapter 10. subdifferential calculus
chapter 11. dualization
chapter 12. monotone mappings
chapter 13. second-order theory
chapter 14. measurability
自然科学 数学 数学分析
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