1
Faculty of Sport and Health Sciences, Thailand National Sports University Lampang Campus, Lampang, Thailand
2
Department of Pharmaceutical Sciences, ”Vasile Goldis¸” Western University of Arad, Revolut¸iei Avenue, no. 94-96, 310025 Arad, Roumania
3
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-0204, South Africa
Abstract
We introduce $(\alpha_s,\mu_s,(Q,h))$-interpolative Kannan- and \v{C}iri'c--Reich--Rus-type contractions in $S$-metric spaces. The framework combines the admissible control function $\alpha_s$, the subadmissible control function $\mu_s$, and a pair of upper-class functions $(Q,h)$. Fixed point theorems are established under continuity and, alternatively, under weaker sequential assumptions. Suitable choices of $(Q,h)$ yield several power- and exponential-type consequences and clarify the connection with familiar Banach-type contractive conditions. Two examples illustrate the results; one of them has two distinct fixed points, showing that the existence theorems do not in general imply uniqueness.
WIRIYAPONGSANON,A , GURAN,L and Hojat Ansari,A . (2026). Fixed Point Theorems for $(\alpha_s,\mu_s,(Q,h))$-Interpolative Contractions in $S$-Metric Spaces. Journal of Applied Mathematics & Data Analytics, 2(2), 18-34.
MLA
WIRIYAPONGSANON,A , , GURAN,L , and Hojat Ansari,A . "Fixed Point Theorems for $(\alpha_s,\mu_s,(Q,h))$-Interpolative Contractions in $S$-Metric Spaces", Journal of Applied Mathematics & Data Analytics, 2, 2, 2026, 18-34.
HARVARD
WIRIYAPONGSANON A, GURAN L, Hojat Ansari A. (2026). 'Fixed Point Theorems for $(\alpha_s,\mu_s,(Q,h))$-Interpolative Contractions in $S$-Metric Spaces', Journal of Applied Mathematics & Data Analytics, 2(2), pp. 18-34.
CHICAGO
A WIRIYAPONGSANON, L GURAN and A Hojat Ansari, "Fixed Point Theorems for $(\alpha_s,\mu_s,(Q,h))$-Interpolative Contractions in $S$-Metric Spaces," Journal of Applied Mathematics & Data Analytics, 2 2 (2026): 18-34,
VANCOUVER
WIRIYAPONGSANON A, GURAN L, Hojat Ansari A. Fixed Point Theorems for $(\alpha_s,\mu_s,(Q,h))$-Interpolative Contractions in $S$-Metric Spaces. JAMDA. 2026;2(2):18-34.
