Optimality conditions and duality for E-differentiable multiobjective programming involving V-E-type I functions

Optimality and Duality for an Efficient Solution of Multiobjective Nonlinear Fractional Programming Problem Involving Semilocally Convex Functions

In this paper, the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related functions. We have discussed the interrelation between the solution sets involving properly efficient solutions of multiobjective fractional programming and corresponding scalar fractional programming problem. Necessary and sufficient optimality...

Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions

1 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 2 Department of Mathematical Sciences, Florida Institute of Techynology, Melbourne 32901, USA 3 Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India 4 Department of Mathematics, Faculty of Applied Sciences, Integral University, Lucknow 226026, India 5 D...

OPTIMALITY AND DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS WITH n-SET FUNCTIONS AND GENERALIZED V -TYPE-I UNIVEXITY

Problems of multiobjective optimization are widespread in mathematical modelling of real world systems for a very broad range of applications. In particular, several classes of multiobjective problems with set and n-set functions have been the subject of several papers in the last few decades. For a historical survey of optimality conditions and duality for programming problems involving set an...

On some sufficient optimality conditions in multiobjective differentiable programming

Sufficiency and duality in multiobjective fractional programming problems involving generalized type I functions

*Correspondence: [email protected] Chung-Jen Junior College of Nursing, Health Sciences and Management, Dalin, 62241, Taiwan Abstract In this paper, we establish sufficient optimality conditions for the (weak) efficiency to multiobjective fractional programming problems involving generalized (F,α,ρ ,d)-V-type I functions. Using the optimality conditions, we also investigate a parametric-type dua...