Remarks on Abstract Subdifferential

Zakieh Farabi; Mohsen Alimohammady; Mehdi Roohi

Remarks on Abstract Subdifferential

Authors

Zakieh Farabi
Mohsen Alimohammady
Mehdi Roohi

Keywords:

Abstract convexity, abstract linear functional, subdifferential.

Abstract

In this paper, the notion of subdifferential is extended in the framework of abstract convexity and some basic properties of this new concept is considered. Also, a representation based on maximal elements is given. Our results is supported by some examples.

Key words and phrases. Abstract convexity, abstract linear functional, subdifferential.

2000 Mathematics Subject Classification. 52A41, 26A51

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Published

2025-05-18

How to Cite

Zakieh Farabi, Mohsen Alimohammady, & Mehdi Roohi. (2025). Remarks on Abstract Subdifferential. Jordan Journal of Mathematics and Statistics, 13(2), 189–202. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/875