FIXED POINT RESULTS VIA Ψ-CONTRACTION IN C*-ALGEBRA VALUED GENERALIZED METRIC SPACES WITH APPLICATIONS

Rahmat, Gul; Yousaf, Arshad; Sarwar, Muhammad; Shoaib, Muhammad; Tunç, Cemil

doi:10.54379/jma-2023-2-2

FIXED POINT RESULTS VIA Ψ-CONTRACTION IN C*-ALGEBRA VALUED GENERALIZED METRIC SPACES WITH APPLICATIONS

Rahmat G., Yousaf A., Sarwar M., Shoaib M., Tunç C.

Journal of Mathematical Analysis, cilt.14, sa.2, ss.12-24, 2023 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 2
Basım Tarihi: 2023
Doi Numarası: 10.54379/jma-2023-2-2
Dergi Adı: Journal of Mathematical Analysis
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.12-24
Anahtar Kelimeler: C*- Algebra Valued Generalized Metric Spaces, Fixed Point, Integral Equations.
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this manuscript, using the concept of C∗-algebra valued generalized metric spaces, fixed point results for self mappings with contractive conditions related to a nondecreasing function ψ: [0, +∞) −→ [0, +∞) such that limm→∞ ψm (s) = 0, ∀ s ∈ (0, +∞), are established. As an application, uniqueness and existence result for integral equation are also provided.