Minimal Solutions and Scalarization in Set Optimization

عنوان به زبان ديگر

پديدآورندگان

Chinaie Mehdi m.chinaei@yahoo.com Department of Mathematics, University of Isfahan, Isfahan , Fakhar Fatemeh .fakhar@sci.ui.ac.ir Department of Mathematics, University of Isfahan, Isfahan , Fakhar Majid Department of Mathematics, University of Isfahan, Isfahan, Iran

تعداد صفحه

4

كليدواژه

algebraic interior , nonconvex scalarization , set , valued optimization , set , optimization , weak efficiency

سال انتشار

1397

عنوان كنفرانس

چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي

زبان مدرك

انگليسي

چكيده فارسي

In this paper, we characterize the weak minimal and weak ≺l-minimal solutions of set-valued optimization problem via certain nonconvex scalarization functionals when image space is not endowed with any particular topology. Then, we obtain some new existence results for set-valued optimization problem with weaker conditions of topological concepts.

چكيده لاتين

In this paper, we characterize the weak minimal and weak ≺l-minimal solutions of set-valued optimization problem via certain nonconvex scalarization functionals when image space is not endowed with any particular topology. Then, we obtain some new existence results for set-valued optimization problem with weaker conditions of topological concepts.

كشور

ايران