Ekiz Yazici, NilayEge, OzgurMlaiki, NabilMukheimer, Aiman2026-02-122026-02-1220232073-8994https://doi.org/10.3390/sym15051100https://hdl.handle.net/20.500.12885/6937In this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann-Liouville fractional integrals and Atangana-Baleanu fractional integrals.eninfo:eu-repo/semantics/openAccessfixed pointS-metriccontrolled metric typefractional integralArticle10.3390/sym15051100155WOS:0009980656000012-s2.0-85160525610Q2Q1