1 |
T. Weir and B. Mond, Preinvex functions in multiobjective optimization, J. Math. Anal. Appl. 136 (1988), 29-38.
DOI
|
2 |
X. Yang and D. Li, Semistrictly preinvex functions, J. Math. Anal. Appl. 258 (2001), 287-308.
DOI
|
3 |
B.D. Craven, Duality for Generalized Convex Fractional Programs, in: Generalized concavity in optimization and Economic, Academic Press, New York, 1981.
|
4 |
D.I. Duca, E. Duca, L. Lupsa and R. Blaga, E-convex functions, Bull. Appl. Comput. Math. 43 (2000), 93-102.
|
5 |
D.I. Duca and L. Lupsa, On the E-epigraph of an E-convex function, J. Optim. Theory Appl. 120 (2006), 341-348.
|
6 |
G.M. Ewing, Sufficient conditions for global minima of suitably convex functionals from variational and control theory, SIAM Review 19, no. 2(1977), 202-220.
DOI
|
7 |
C. Fulga and V. Preda, Nonlinear programming with E-preinvex and local E-preinvex functions, Eur J Oper Res. 192 (2009), 737-743.
DOI
|
8 |
M.A. Hanson, On sufficiency of the KuhnTucker conditions, J. Math. Anal. Appl. 80 (1981), 545-550.
DOI
|
9 |
A. Iqbal, S. Ali and I. Ahmad, On geodesic E-convex sets, geodesic E-convex functions and E-epigraphs, J. Optim Theory Appl. 155 (2012), 239-251.
DOI
|
10 |
T. Weir and V. Jeyakumar, A class of nonconvex functions and mathematical programming, Bull. Aust. Math. Soc. 38 (1988), 177-189.
DOI
|
11 |
A. Iqbal, I. Ahmad and S. Ali, Some properties of geodesic semi E- convex functions, Nonlinear Analysis 74 (2011), 6805-6813.
DOI
|
12 |
Hu, QJ, Jian, JB, Zheng, HY, Tang, CM, Semilocal E-convexity and semilocal E-convex programming, Bull Aust Math Soc. 75 (2007), 59-74 .
DOI
|
13 |
H. Jiao, A class of semilocal E-preinvex maps in Banach spaces with applications to nondifferentiable vector optimization, IJOCTA 4 (2014), 1-10.
|
14 |
A. Ben-Israel and B. Mond, What is invexity?, J. Aust. Math. Soci., Series B 28 (1986), 1-9.
DOI
|
15 |
X.S. Chen, Some properties of semi E-convex functions, J Math Anal Appl. 275 (2002), 251-262.
DOI
|
16 |
R.N. Kaul and S. Kaur, Generalizations of convex and related functions, European Journal of Operational Research 9, no. 4(1982), 369-377 .
DOI
|
17 |
R.N. Kaul and S. Kaur, Sufficient optimality conditions using generalized convex functions, Opsearch 19, no. 4(1982), 212-224 .
|
18 |
S. Kaur, Theoretical studies in mathematical programming, Ph.D. Thesis, University of Delhi, New Delhi, India, 1983.
|
19 |
A. Barani and M.R. Pouryayevali, Invex sets and preinvex functions on Riemannian manifolds, J. Math. Anal. Appl. 328 (2007), 767-779.
DOI
|
20 |
A. Barani and M.R. Pouryayevali, Invariant monotone vector fields on Riemannian manifolds, Nonlinear Anal.: Theory Methods Appl. 70 (2009), 1850-1861.
DOI
|
21 |
C. Li, B.S. Mordukhovich, J. Wang, and J.C. Yao, Weak sharp minima of Riemannian manifolds, SIAM J. Optim. 21 (2011), 1523-1560.
DOI
|
22 |
Z.M. Luo and J.B. Jian, Some properties of semi E-preinvex maps in Banach spaces, Nonlinear Anal. Real World Appl. 12 (2011), 1243-1249 .
DOI
|
23 |
O.L. Mangasarian, Nonlinear Programming, McGraw Hill Book Company, New York, 1969.
|
24 |
S. Mititelu, Generalized invexity and vector optimization on differentiable manifolds, Differ. Geom. Dyn. Syst. 3 (2001), 21-31.
|
25 |
R. Pini, Convexity along curves and invexity, Optimization 29 (1994), 301-309.
DOI
|
26 |
V. Preda, I.M. Stancu-Minasian, and A. Batatorescu, Optimality and duality in nonlinear programming involving semilocally preinvex and related functions, Journal of Information & Optimization Sciences 17, no. 3(1996), 585-596 .
DOI
|
27 |
V. Preda and I.M. Stancu-Minasian, Duality in multiple objective programming involving semilocally preinvex and related functions, Glasnik Matematicki. Serija III, 32, no. 1(1997), 153-165 .
|
28 |
T. Rapcsak, Smooth Nonlinear Optimization in , Kluwer Academic Publishers, Dordrecht, 1997.
|
29 |
Yu-Ru Syau and E.S. Lee, Some properties of E-convex functions, Appl. Math. Lett. 18 (2005), 1074-1080.
DOI
|
30 |
C. Udriste, Convex Functions and Optimization Methods on Riemannian Manifolds, Kluwer Academic Publishers, Dordrecht, Netherlands, 1994.
|
31 |
W. Klingenberg, Riemannian geometry, Walter de Gruyter Studies in Mathematics, Walter de Gruyter, Berlin, 1982.
|
32 |
S. Lang, Fundamentals of Differential Geometry, Graduate Texts in Mathematics, Springer-Verlag, New York, 1999.
|
33 |
X.M Yang, On E-convex sets, E-convex functions and E-convex programming, J. Optim. Theory Appl. 109 (2001), 699-704.
DOI
|
34 |
E.A. Youness, E-convex sets, On E-convex functions and E-convex programming, J. Optim Theory Appl. 102 (1999), 439-450.
DOI
|