By Shashi Kant Mishra

ISBN-10: 1482255758

ISBN-13: 9781482255751

**Pseudolinear features and Optimization** is the 1st booklet to concentration completely on pseudolinear capabilities, a category of generalized convex features. It discusses the houses, characterizations, and purposes of pseudolinear capabilities in nonlinear optimization problems.

The ebook describes the characterizations of resolution units of assorted 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 community Lipschitz services utilizing Clarke subdifferentials. in addition they current optimality and duality effects for *h*-pseudolinear and semi-infinite pseudolinear optimization problems.

The authors pass directly to discover the relationships among vector variational inequalities and vector optimization difficulties regarding pseudolinear features. They current characterizations of answer units of pseudolinear optimization difficulties on Riemannian manifolds in addition to effects on pseudolinearity of quadratic fractional services. The e-book additionally extends *n*-pseudolinear services to pseudolinear and *n*-pseudolinear fuzzy mappings and characterizations of answer units of pseudolinear fuzzy optimization difficulties and *n*-pseudolinear fuzzy optimization difficulties. The textual content concludes with a few purposes of pseudolinear optimization difficulties to clinic administration and economics.

This booklet encompasses approximately the entire released literature at the topic in addition to new effects on semi-infinite nonlinear programming difficulties. it is going to be important to readers from mathematical programming, commercial engineering, and operations management.