Journal Of Applied Mathematical Analysis And Applications

Advances in Applied Mathematical Analysis and Applications

In recent years, applied mathematics has been used in all novel disciplines of scientific development. Advances in Applied Mathematical Problems summarizes interdisciplinary work within the field of applied mathematics. The topics discussed in the book include:• Similarity Solutions of Spherical Shock Waves in a Self-Gravitating Ideal Gas• Dual Solutions for Finite Element Analysis of Unsteady Hydromagnetic Stagnation Point Flow of Water Nanofluid Generated by Stretching Sheet• Multiparametric modeling of carbon cycle in temperate wetlands for regional climate change analysis using satellite data• An Intelligent Neuro Fuzzy System for Pattern Classification• Fuzzy inventory model with demand, deterioration and inflation: a comparative study through NGTFN and CNTFN• Summability and its application for the stability of the system• Design Of Manufacturing, Control, And Automation Systems• SEIR - Application for Crop through Water and Soil Texture• Advances in radial basis functions• Modeling For Time Period Of Natural Frequency For Non-Homogeneous Square Plate With Variable Thickness And Temperature Effect• A Study On Metric Fixed Point Theorems Satisfying Integral Type Contractions • Objective Function – In Radiometric Studies –Application to Agrs Surveys Associated With Radon• Modelling Kernel Function in Black body Radiation Inversion

International Journal of Applied Mathematical Analysis and Applications

Generalized Convexity and Vector Optimization

The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and in?nite dimensions. The problems include are nonlinear vector optimization problems, s- metric dual problems, continuous-time vector optimization problems, relationships between vector optimization and variational inequality problems. Nonlinear vector optimization problems arise in several contexts such as in the building and interpretation of economic models; the study of various technolo- cal processes; the development of optimal choices in ?nance; management science; production processes; transportation problems and statistical decisions, etc. In preparing this lecture note a special effort has been made to obtain a se- contained treatment of the subjects; so we hope that this may be a suitable source for a beginner in this fast growing area of research, a semester graduate course in nonlinear programing, and a good reference book. This book may be useful to theoretical economists, engineers, and applied researchers involved in this area of active research. The lecture note is divided into eight chapters: Chapter 1 brie?y deals with the notion of nonlinear programing problems with basic notations and preliminaries. Chapter 2 deals with various concepts of convex sets, convex functions, invex set, invex functions, quasiinvex functions, pseudoinvex functions, type I and generalized type I functions, V-invex functions, and univex functions.