A Note on a Special Metric Space with Triple Fixed Points

Yıl 2023, Cilt: 6 Sayı: 2, 1285 - 1295, 05.07.2023

Özen Özer

Öz

This work is focused on constructing a general concept of triple fixed point of a mapping in a C*-algebra valued metric space. We also include some significant consequences of the hypotheses of our work in this paper. In addition, we provide some numerical examples for readers to see the connections between our work and other fields such as the theory of Integral Equations, Systems of Algebraic and Differential Equations and Dynamic Systems.

Anahtar Kelimeler

C*-Algebra, Triple Fixed Point, Contraction Mapping, Complete Metric Space, Fixed Point Theory, Cauchy Sequence.

Üçlü Sabit Noktalı Özel Bir Metrik Uzay Üzerine Bir Not

Öz

Bu çalışma, bir C*-cebiri değerli metrik uzayda bir eşlemenin üçlü sabit noktasının genel bir kavramını oluşturmaya odaklanmıştır. Makaleye, çalışmamıza ait varsayımların bazı önemli sonuçları da dahil edilmiştir. Bunun yanı sıra, elde edilen sonuçlarımızın uygulanabilirliğini göstermek amacı ile birkaç sayısal örnek verilmiştir. Ayrıca Banach Büzülme Prensibinin integral denklemler teorisi, türevli fonksiyonlar teorisi, cebirsel veya diferansiyel denklemler sistemi, dinamik sistemler vb. gibi bazı alanlara yönelik uygulamaları, bu tür alanlardaki diğer çalışmalardan örneklerle verilmiştir.

Anahtar Kelimeler

C*-Cebir, Üçlü Sabit Nokta, Büzülme Dönüşümü, Tam Metrik Uzayı, Sabit Nokta Teorisi, Cauchy Dizisi.

Kaynakça

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