VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS
نویسندگان
چکیده
منابع مشابه
On interval-valued optimization problems with generalized invex functions
*Correspondence: [email protected] 1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia 2Permanent address: Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India Full list of author information is available at the end of the article Abstract This paper is devoted to study interval-valued optimization p...
متن کاملGeneralized Differentiable -Invex Functions and Their Applications in Optimization
E-convex function was introduced by Youness 1 and revised by Yang 2 . Chen 3 introduced Semi-E-convex function and studied some of its properties. Syau and Lee 4 defined E-quasi-convex function, strictly E-quasi-convex function and studied some basic properties. Fulga and Preda 5 introduced the class of E-preinvex and E-prequasi-invex functions. All the above E-convex and generalized E-convex f...
متن کاملDUALITY FOR NONLINEAR FRACTIONAL PROGRAMMING INVOLVING GENERALIZED ρ-SEMILOCALLY b-PREINVEX FUNCTIONS
We consider a nonlinear fractional programming problem with inequality constraints, where the functions involved are ρ-semilocally b-preinvex, ρ-semilocally explicitly b-preinvex, ρ-semilocally quasi b-preinvex, ρ-semilocally pseudo bpreinvex and ρ-semi-locally strongly pseudo b-preinvex functions. Necessary optimality conditions are obtained in terms of the right derivative of a function along...
متن کاملOptimality 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...
متن کاملA class of generalized invex functions and vector variational-like inequalities
In this paper, a class of generalized invex functions, called [Formula: see text]-invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming problem. Finally, the existence results for the discussed variational-like inequal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of applied mathematics & informatics
سال: 2015
ISSN: 1598-5857
DOI: 10.14317/jami.2015.235