On General Class of Z-Contractions with Applications to Spring Mass Problem

One of the latest techniques in metric fixed point theory is interpolation approach. This notion has so far been examined using standard functional equations. A hybrid form this concept yet to be uncovered by observing available literature. With background information, and based on symmetry rectangular properties generalized spaces, paper introduces a novel unified under name interpolative Y-Hardy–Rogers–Suzuki-type Z-contraction establishes sufficient conditions for existence points such contractions. As an application, one obtained results was employed examine new criteria solution boundary valued problem arising oscillation spring. The ideas proposed herein advance some recently announced important corresponding comparative example constructed justify abstractions pre-eminence our results.