Orbital b-metric spaces and related fixed point results on advanced Nashine–Wardowski–Feng–Liu type contractions with applications

Abstract In this article, we prove some novel fixed-point results for a pair of multivalued dominated mappings obeying new generalized Nashine–Wardowski–Feng–Liu-type contraction orbitally lower semi-continuous functions in complete orbital b -metric space. Furthermore, theorems are established the scenario ordered spaces. Some examples offered to demonstrate validity our results’ premise. To applicability findings, applications system nonlinear Volterra-type integral equations and fractional differential shown. These extend theoretical Nashine et al. (Nonlinear Anal., Model. Control 26(3):522–533, 2021).