Results 31 to 40 of about 152,676 (293)
Optimality and duality in set-valued optimization utilizing limit sets
This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality ...
Kong Xiangyu, Zhang Yinfeng, Yu GuoLin
doaj +1 more source
In this study, set-valued optimization problems are considered with respect to -order relation, which is a partial order relation on the family of nonempty and bounded sets. Four subdifferentials are defined for set-valued optimization maps.
Soyertem, Mustafa +2 more
core +1 more source
A relaxation approach to vector-valued Allen-Cahn MPEC problems [PDF]
In this paper we consider a vector-valued Allen-Cahn MPEC problem. To derive optimality conditions we exploit a regularization-relaxation technique. The optimality system of the regularized-relaxed subproblems are investigated by applying the classical ...
Farshbaf-Shaker, Hassan +1 more
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We first introduce a new notion of the partial and generalized cone subconvexlike set-valued map and give an equivalent characterization of the partial and generalized cone subconvexlike set-valued map in linear spaces.
Zhi-Ang Zhou, Jian-Wen Peng
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Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps
The concept of the well posedness for a special scalar problem is linked with strictly efficient solutions of vector optimization problem involving nearly convexlike set-valued maps.
Xiaohong Hu, Zhimiao Fang, Yunxuan Xiong
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Optimization of Set-Valued Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces
The fixed point theory of the set-valued mappings has important applications in many branches such as modern variation problems,optimization problems and economic equilibrium problems,and it has been an essential part of nonlinear functional analysis ...
CHEN Li-li, GAO Lu, ZHOU Jing
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The Role of Hematopoietic Cell Transplantation in Ataxia‐Telangiectasia
ABSTRACT Background Ataxia‐telangiectasia (A‐T) is a DNA repair disorder characterized by neurodegeneration, immunodeficiency, and cancer predisposition. Hematopoietic cell transplantation (HCT) is an established therapy in related disorders such as Fanconi anemia (FA) and Nijmegen breakage syndrome (NBS), but its role in A‐T is unclear.
Laila Alkhouli +3 more
wiley +1 more source
Optimality conditions for a nonconvex set-valued optimization problem
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
María Alonso, Luis Rodríguez-Marín
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ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley +1 more source

