Abstract
In this paper, a new class of functions called semilocal E-preinvex functions is introduced, which is generalization of semi-E-preinvex functions and semilocal E-convex functions. Some of its basic properties are obtained. Using E-η-semidifferentiability, some optimality conditions and duality results are established for a nonlinear multiobjective fractional programming with semilocal E-preinvex and related functions. The results presented in this paper extend and generalize previously known results in this area. Mathematics Subject Classification (2000): 90C26; 90C30; 90C46
Highlights
In this paper, a new class of functions called semilocal E-preinvex functions is introduced, which is generalization of semi-E-preinvex functions and semilocal E-convex functions
Convexity and generalized convexity play a vital role in the study of optimality and duality aspects of mathematical programming
Generalizations of convexity related to optimality and duality for nonlinear singleobjective or multiobjective optimization problems have been of much interest in the recent past, and many contributions have been made to this development
Summary
The results presented in this paper extend and generalize previously known results in this area.
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