3 papers
math.FA2025
A Study of Kirk's Asymptotic Contractions via Leader Contractions
Hassan Khandani
This paper investigates asymptotic fixed point results for nonlinear contractions, with emphasis on Kirk-type theorems and their generalizations. A central difficulty in the litera…
math.MG2025
Interpolative Metrics Are Not New: A Study of Generalized Contractions in b-Suprametric Spaces
Hassan Khandani
{Researchers recently introduced interpolative metric spaces and established fixed-point theorems in this setting. We demonstrate that these metrics are a special case of b-metrics…
math.MG2025
Fixed Points of Meir-Keeler and Leader Contractions with bounded orbits in b-Metric Spaces
Hassan Khandani
We establish fixed-point theorems for Meir-Keeler-type contractions in b-metric spaces. While Lu et al. demonstrated via an explicit counterexample that classical Meir-Keeler contr…