INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, vol.23, 2025 (ESCI)
In this work, we present the concept of 6-Px-contraction, 0-Px-Suzuki contraction, 0-x-Kannan type contraction, and 60-x-expansion, and establish some novel fixed point theorems in the light of Banach space. In order to verify our results, we construct some examples. Furthermore, we use our results to check the existence of a solution to differential equations.