A New Four-Step Iterative Procedure for Approximating Fixed Points with Application to 2D Volterra Integral Equations

This work is devoted to presenting a new four-step iterative scheme for approximating fixed points under almost contraction mappings and Reich–Suzuki-type nonexpansive (RSTN mappings, short). Additionally, we demonstrate that the proposed algorithm converges faster than variety of other current schemes. Furthermore, scheme’s ?2—stability result established corroborating example given clarify concept ?2—stability. Moreover, weak as well number strong convergence results are demonstrated our approach RSTN mappings. Further, effectiveness strategy, also conduct numerical experiment. Our major finding applied two-dimensional (2D) Volterra integral equation has solution. comprehensive validating outcome application provided. expand generalize relevant in literature.