RESULTS ON C∗-ALGEBRA VALUED NORMED SPACES INCLUDING FIXED POINT THEOREMS WITH NEW DEVELOPMENTS AND APPLICATIONS
Advances in Mathematical Sciences and Applications, cilt.34, sa.1, ss.47-59, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 1
- Basım Tarihi: 2025
- Dergi Adı: Advances in Mathematical Sciences and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.47-59
- Anahtar Kelimeler: Banach Contraction Principle, C∗-algebra, Fixed Point Theory, Normed Space
- Kırklareli Üniversitesi Adresli: Evet
Özet
This paper presents a comprehensive exploration of C∗-algebra valued normed spaces and their profound implications in the domain of fixed point theory. Incorporating C∗-algebraic structures into normed space theory enhances the framework, connecting algebraic and topological properties for solving complex problems. The core objective of this study is to contribute new results that significantly enhance our understanding of C∗-algebra valued normed spaces. Leveraging a synthesis of techniques from functional analysis, algebra, and topology, we formulate and prove rigorous theorems that lay the foundation for a deeper comprehension of the structural characteristics of these spaces. These results offer both broader perspectives and new ideas in this developing field.