By Shashi Kant Mishra, Balendu Bhooshan Upadhyay
Pseudolinear capabilities and Optimization is the 1st ebook to concentration solely on pseudolinear services, a category of generalized convex capabilities. It discusses the homes, characterizations, and purposes of pseudolinear features in nonlinear optimization problems.
The ebook describes the characterizations of answer units of varied optimization difficulties. It examines multiobjective pseudolinear, multiobjective fractional pseudolinear, static minmax pseudolinear, and static minmax fractional pseudolinear optimization difficulties and their effects. The authors expand those effects to in the neighborhood Lipschitz features utilizing Clarke subdifferentials. in addition they current optimality and duality effects for h-pseudolinear and semi-infinite pseudolinear optimization problems.
The authors cross directly to discover the relationships among vector variational inequalities and vector optimization difficulties regarding pseudolinear features. They current characterizations of resolution units of pseudolinear optimization difficulties on Riemannian manifolds in addition to effects on pseudolinearity of quadratic fractional features. The e-book additionally extends n-pseudolinear services to pseudolinear and n-pseudolinear fuzzy mappings and characterizations of resolution units of pseudolinear fuzzy optimization difficulties and n-pseudolinear fuzzy optimization difficulties. The textual content concludes with a few functions of pseudolinear optimization difficulties to sanatorium administration and economics.
This ebook encompasses approximately the entire released literature at the topic in addition to new effects on semi-infinite nonlinear programming difficulties. it will likely be precious to readers from mathematical programming, commercial engineering, and operations management.