dc.contributor.author | Chen, Sheng-lan | |
dc.contributor.author | Huang, Nan-Jing | |
dc.contributor.author | O'Regan, Donal | |
dc.date.accessioned | 2018-09-20T16:03:05Z | |
dc.date.available | 2018-09-20T16:03:05Z | |
dc.date.issued | 2014-01-01 | |
dc.identifier.citation | Chen, Sheng-lan; Huang, Nan-Jing; O'Regan, Donal (2014). Geodesicb-preinvex functions and multiobjective optimization problems on riemannian manifolds. Journal of Applied Mathematics , | |
dc.identifier.issn | 1110-757X,1687-0042 | |
dc.identifier.uri | http://hdl.handle.net/10379/10752 | |
dc.description.abstract | We introduce a class of functions called geodesic B-preinvex and geodesic B-invex functions on Riemannian manifolds and generalize the notions to the so-called geodesic quasi/pseudo B-preinvex and geodesic quasi/pseudo B-invex functions. We discuss the links among these functions under appropriate conditions and obtain results concerning extremum points of a nonsmooth geodesic B-preinvex function by using the proximal subdifferential. Moreover, we study a differentiable multiobjective optimization problem involving new classes of generalized geodesic B-invex functions and derive Kuhn-Tucker-type sufficient conditions for a feasible point to be an efficient or properly efficient solution. Finally, a Mond-Weir type duality is formulated and some duality results are given for the pair of primal and dual programming. | |
dc.publisher | Hindawi Limited | |
dc.relation.ispartof | Journal of Applied Mathematics | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | multiple-objective optimization | |
dc.subject | vex functions | |
dc.subject | invex sets | |
dc.subject | nonsmooth analysis | |
dc.subject | duality | |
dc.title | Geodesicb-preinvex functions and multiobjective optimization problems on riemannian manifolds | |
dc.type | Article | |
dc.identifier.doi | 10.1155/2014/524698 | |
dc.local.publishedsource | http://doi.org/10.1155/2014/524698 | |
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