Fixed Point Theorems AnalysisNonlinear Differential Equations AnalysisOptimization and Variational Analysis

E. Karapınar, C. Păcurar, Priya Shahi

2026.5.1ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA

DOI: 10.2478/auom-2026-0009

Abstract

In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new results. Moreover, we give extend our results and provide a Meir-Keeler type fixed-point result in perturbed metric spaces.

Citation format

KARAPINAR, E.; PĂCURAR, C.; SHAHI, Priya. Interpolative contractions on perturbed metric spaces. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2026, 34(1): 169–181.