Characterizations and Applications of Prequasi-Invex Functions

On the relationships between G-preinvex functions and semistrictly G-preinvex functions

“…Therefore, to consider wider and wider classes of generalized convex functions is important, but it is also important to seek practical criteria for convexity or generalized convexity (see [1][2][3][4][5][6][7][8][9][10] and the references therein). Two significant generalizations of convex functions are the so-called preinvex functions introduced in [7] and prequasi-invex functions given in [6].…”

Generalized vector variational-like inequalities and vector optimization

“…Obviously, the map η(y, x) = y − x satisfies Condition C. The examples of the map η that satisfies Condition C are given in [17,18].…”

Further Study on Semi-prequasi-invex Type Programming

“…In [9], Yang introduced the prequasi-invex type functions and discussed prequasi-invex type multiobjective optimization problem as applications. Yang et al [10], Luo and Xu [11] presented some properties of prequasi-invex functions and discussed some of its applications in optimization problem. Recently, Peng et al [12] studied characterizations and criterions of vector-valued D−semiprequasi-invex mappings and obtained an important application in vector optimization problem.…”