Topics in Contemporary Mathematical Analysis and Applications

12 Unified-Type Nondifferentiable Second-Order Symmetric Duality Results over Arbitrary Cones

Ramu Dubey

J.C. Bose University of Science and Technology

Vishnu Narayan Mishra

Indira Gandhi National Tribal University

CONTENTS

12.1   Introduction

12.2   Literature Review

12.3   Preliminaries and Definitions

12.3.1   Definition

12.3.2   Definition

12.3.3   Definition

12.3.4   Definition

12.4   Nondifferentiable Second-Order Mixed-Type Symmetric Duality Model Over Arbitrary Cones

12.4.1   Remarks

12.5   Duality Theorems

12.6   Self-Duality

12.7   Conclusion

Bibliography

12.1   Introduction

Multiobjective-type programming problems are common in mathematical modeling of realistic phenomenon for a greatly spectrum of utilization. Optimality conditions ...