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Fan, Liya; Guo, Yunlian

On strongly \(\alpha\)-preinvex functions. (English) Zbl 1121.26010

J. Math. Anal. Appl. 330, No. 2, 1412-1425 (2007).
Authors’ abstract: By means of a series of counterexamples, the authors study in a systematic way the relationships among (pseudo, quasi) \(\alpha\)-preinvexity, (strict, strong, pseudo, quasi) \(\alpha \)-invexity and (strict, strong, pseudo, quasi) \(\alpha \eta\)-monotonicity. Results obtained in this paper can be viewed as a refinement and improvement of the results of M. A. Noor and K. I. Noor [J. Math. Anal. Appl. 316, No. 2, 697–706 (2006; Zbl 1093.26006)].
Reviewer: Ştefan Mititelu (Bucureşti)

Cited in 6 Documents

MSC:

26B25 Convexity of real functions of several variables, generalizations
90C25 Convex programming

Keywords:

relations; (pseudo, quasi) \(\alpha\)-preinvexity; (pseudo, quasi) \(\alpha\)-invexity; (pseudo, quasi) \(\alpha \eta\)-monotonicity

Citations:

Zbl 1093.26006
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\textit{L. Fan} and \textit{Y. Guo}, J. Math. Anal. Appl. 330, No. 2, 1412--1425 (2007; Zbl 1121.26010)
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References:

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