We introduce and explore two novel types of contractions, namely the (?,a,k)-SM-Bianchini and the generalized (?,a,k)-SM-Bianchini type contractions. These contractions represent an extension and generalization of existing contraction principles, allowing for a broader and more flexible framework within the study of fixed-point theory. By incorporating the functions ?, a, and k, we develop a more comprehensive approach that encompasses and extends various classical results. Moreover, to emphasize the practical significance of our theoretical contributions, we present an application of the generalized (?,a,k)-SM-Bianchini type contractions to the split feasibility problem.
Chamoli et al. (Wed,) studied this question.