منابع مشابه
Optimality Criteria and Duality in Multiobjective Programming Involving Nonsmooth Invex Functions
Abstract. In this paper a generalization of invexity is considered in a general form, by means of the concept of K-directional derivative. Then in the case of nonlinear multiobjective programming problems where the functions involved are nondifferentiable, we established sufficient optimality conditions without any convexity assumption of the K-directional derivative. Then we obtained some dual...
متن کاملOptimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions
1 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 2 Department of Mathematical Sciences, Florida Institute of Techynology, Melbourne 32901, USA 3 Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India 4 Department of Mathematics, Faculty of Applied Sciences, Integral University, Lucknow 226026, India 5 D...
متن کاملFurther Study on Strong Lagrangian Duality Property for Invex Programs via Penalty Functions
for Invex Programs via Penalty Functions J. Zhang Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China X. X. Huang School of Management, Fudan University, Shanghai 200433, China Abstract. In this paper, we apply the quadratic penalization technique to derive strong Lagrangian duality property for an inequality constrained invex program....
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In this paper, a geodesic α-invex subset of a Riemannian manifold is introduced. Geodesic α-invex and α-preinvex functions on a geodesic α-invex set with respect to particular maps are also defined. Further, we study the relationships between geodesic α-invex and α-preinvex functions on Riemannian manifolds. Some results of a non smooth geodesic α-preinvex function are also discussed using prox...
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The concept of a geodesic invex subset of a Riemannian manifold is introduced. Geodesic invex and preinvex functions on a geodesic invex set with respect to particular maps are defined. The relation between geodesic invexity and preinvexity of functions on manifolds is studied. Using proximal subdifferential, certain results concerning extremum points of a non smooth geodesic preinvex function ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1985
ISSN: 0263-6115
DOI: 10.1017/s1446788700022126