Youji Nagahisa
Abstract
Abstract.This paper is devoted to show that a given element, set,cone and functions satisfy the proposed condition if､ and only if､ a Lagrange multiplier rule is satisfied, and that a Lagrange multiplier rule is satisfied by a solution of an optimization problem defined in Banach spaces.
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Abstract.This paper is devoted to show that a given element, set,cone and functions satisfy the proposed condition if､ and only if､ a Lagrange multiplier rule is satisfied, and that a Lagrange multiplier rule is satisfied by a solution of an optimization problem defined in Banach spaces.
Key concepts: Lagrange multiplier, Multiplier (economics), Mathematics, Mathematical optimization, Computer science, Calculus (dental), Mathematical economics, Economics