Existence and Uniqueness of Zeros for Vector-Valued Functions with <i>K</i>-Adjustability Convexity and Their Applications

Existence and Uniqueness of Zeros for Vector-Valued Functions with <i>K</i>-Adjustability Convexity and Their Applications

In this paper, we introduce the new concepts of <i>K</i>-adjustability convexity and strictly <i>K</i>-adjustability convexity which respectively generalize and extend the concepts of <i>K</i>-convexity and strictly <i>K</i>-convexity. We establish som...

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Bibliographic Details
Main Author: Wei-Shih Du
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
<i>K</i>-convexity
strictly <i>K</i>-convexity
<i>K</i>-adjustability convexity
strictly <i>K</i>-adjustability convexity
nonlinear scalarization function
(<i>e</i>, <i>K</i>)-lower semicontinuous
zero for a vector-valued function
minimization problem
fixed point problem
Online Access:https://www.mdpi.com/2227-7390/7/9/809

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