Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds
Joint Authors
O'Regan, Donal
Huang, Nan-Jing
Chen, Sheng-lan
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-26
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chen, Sheng-lan& Huang, Nan-Jing& O'Regan, Donal. 2014. Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-478560
Modern Language Association (MLA)
Chen, Sheng-lan…[et al.]. Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-478560
American Medical Association (AMA)
Chen, Sheng-lan& Huang, Nan-Jing& O'Regan, Donal. Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-478560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478560