On qpb–Condensed Ciri´c–Reich–Rus type contractions in ˇ Quasi-Partial b-metric Spaces

Fixed point theory in generalized metric spaces has received considerable attention due to its wide applicability in nonlinear analysis. In this work, we introduce a new class of nonlinear contractions, termed qpb–Condensed Ciri´c–Reich–Rus type ˇ contractions (qpb − CCRR), defined on complete quasi-partial b-metric spaces. The proposed contraction incorporates asymmetric self-distances and the coefficient of the underlying b-metric, features absent in existing Condensed Reich–Rus–Ciri´c-type ´ Contraction (CRRC) and Interpolative Reich–Rus–Ciri´c-type ´ conditions (IRRC). By combining lower–upper condensed bounds with quasi-partial geometry, we establish fixed point existence and uniqueness theorems that strictly extend several known results in partial metric, partial b−metric and quasi-partial b−metric settings. Finite illustrative examples are provided to validate our new results and to show that the obtained results are extension of existing fixed point theorems.