Integral-type contraction on orthogonal S-metric spaces with common fixed-point results and applications to fractional integral equations

• Published in: Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; p. 10
• Main Authors: Samuel, Benitha Wises, Mani, Gunaseelan, Ramulu, Shoba Sree, Thabet, Sabri T. M., Kedim, Imed
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2025; Springer Nature B.V
• Subjects: Algorithms; Analysis; Applications of Mathematics; Applied mathematics; Differential Geometry; Fixed points (mathematics); Fractional calculus; Integral equations; Linear algebra; Mathematical and Computational Biology; Mathematics; Mathematics and Statistics; Metric Fixed Point Theory and Its Applications; Metric space; Topology; 47H10; Integral-type contraction; metric spaces; Orthogonal metric spaces; Riemann–Liouville fractional integral; 54H25

In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S -metric spaces. Examples are provided to illustrate the findings. This work extends and generalizes numerous results from existing literature. Furthermore, the theoretical r...