Open AccessFixed point theorem between cone metric space and quasi-cone metric space
Author(s) -
Abdullah Al-Yaari,
Hamzah Sakidin,
Yousif Alyousifi,
Qasem Al-Tashi
Publication year - 2022
Publication title -
indonesian journal of electrical engineering and computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.241
H-Index - 17
eISSN - 2502-4760
pISSN - 2502-4752
DOI - 10.11591/ijeecs.v25.i1.pp540-549
Subject(s) - cone (formal languages) , metric space , mathematics , uniform continuity , hausdorff distance , dual cone and polar cone , metric (unit) , hausdorff space , space (punctuation) , pure mathematics , fixed point theorem , point (geometry) , mathematical analysis , geometry , computer science , algorithm , operations management , regular polygon , economics , operating system
This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples. In addition, these new continuities were compared with various types of continuities of mapping between two QCMSs. The continuity types are -continuous, -continuous, -continuous, and -continuous. The results demonstrated that the new notions of continuity could be generalized to the continuity of mapping between two QCMSs. It also showed a fixed point for this continuity map between a complete Hausdorff CMS and QCMS. Overall, this study supports recent research results.