On strongly α-preinvex functions |
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| Authors: | Liya Fan Yunlian Guo |
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| Affiliation: | aSchool of Mathematics Science, Liaocheng University, Liaocheng, 252059 Shandong, PR China;bSchool of Science, TianJin Polytechnic University, 300160, PR China |
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| Abstract: | In this paper, by means of a series of counterexamples, we study in a systematic way the relationships among (pseudo, quasi) α-preinvexity, (strict, strong, pseudo, quasi) α-invexity and (strict, strong, pseudo, quasi) αη-monotonicity. Results obtained in this paper can be viewed as a refinement and improvement of the results of Noor and Noor [M.A. Noor, K.I. Noor, Some characterizations of strongly preinvex functions, J. Math. Anal. Appl. 316 (2006) 697–706]. |
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| Keywords: | Relations (Pseudo, quasi) α -preinvexity (Pseudo, quasi) α -invexity (Pseudo, quasi) α η -monotonicity |
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