Work

A contractive approach in generalized suprametric spaces with applications to fractional boundary value and epidemiological problems

Year: 2025

Type: article

Abstract: This manuscript analyzes Reich, Ćirić, and Banach contractions in complete extended suprametric spaces by using the Fw-class of functions. We establish new fixed point theorems for these F w − contractions, extending classical results in a generalized metric setting. To validate the theoretical results, we construct illustrative examples and support them through both numerical computations and graphical simulations. As practical applications, we employ the F w − Reich contraction to investigate the existence and uniqueness of solutions to an epidemiological model describing the spread of infectious diseases. Furthermore, the F w − Banach contraction is utilized to investigate both the existence and uniqueness of solutions for a nonlinear fractional integral boundary value problem. These outcomes extend past classical fixed point theorems not just in the sense that they generalize classical fixed point theorems but also provide a context in which one can deal with weaker contractive conditions ( F w -type contractions) in more general exotic spaces like extended suprametric spaces and allow them to be applied to a wider range of not just nonlinear problems in analysis but applied sciences as well.

Source: Results in Physics

DOI: 10.1016/j.rinp.2025.108384

Authors: Haroon Ahmad, Aqsa Riaz, Mohammad Akram, Umar Ishtiaq, Ioan-Lucian Popa