Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions

This manuscript introduces the concept of Pairwise and Polynomial contractions within the framework of b-metric spaces. In this context, various concepts and propositions are defined, and novel fixed-point results are established. Moreover, corollaries are deduced, and examples are presented to reinforce the validity of the obtained results. Furthermore, applications of such contractions to boundary value problems in chemical sciences and integral-type contractions are discussed using the established results.