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Pseudolinear Functions and Optimization (Paperback)
Loot Price: R1,967
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Pseudolinear Functions and Optimization (Paperback)
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Pseudolinear Functions and Optimization is the first book to focus
exclusively on pseudolinear functions, a class of generalized
convex functions. It discusses the properties, characterizations,
and applications of pseudolinear functions in nonlinear
optimization problems. The book describes the characterizations of
solution sets of various optimization problems. It examines
multiobjective pseudolinear, multiobjective fractional
pseudolinear, static minmax pseudolinear, and static minmax
fractional pseudolinear optimization problems and their results.
The authors extend these results to locally Lipschitz functions
using Clarke subdifferentials. They also present optimality and
duality results for h-pseudolinear and semi-infinite pseudolinear
optimization problems. The authors go on to explore the
relationships between vector variational inequalities and vector
optimization problems involving pseudolinear functions. They
present characterizations of solution sets of pseudolinear
optimization problems on Riemannian manifolds as well as results on
pseudolinearity of quadratic fractional functions. The book also
extends n-pseudolinear functions to pseudolinear and n-pseudolinear
fuzzy mappings and characterizations of solution sets of
pseudolinear fuzzy optimization problems and n-pseudolinear fuzzy
optimization problems. The text concludes with some applications of
pseudolinear optimization problems to hospital management and
economics. This book encompasses nearly all the published
literature on the subject along with new results on semi-infinite
nonlinear programming problems. It will be useful to readers from
mathematical programming, industrial engineering, and operations
management.
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