2025/07/21 by Panthi, Prasun, Panthi, Dinesh
#47H10 #54E50 #54H25 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN)
paper · doi:10.48550/arxiv.2507.15635
In this article, a new class of operators, termed Ad-contractions, is introduced to extend the framework of A-contractions to the setting of dislocated metric spaces. Fixed point results are established for single mappings, sequences of mappings, integral type contractions, and for mappings on a set with two dislocated metrics. The demonstrated theorems generalize foundational results on A-contractions and their integral-type variations to the more challenging setting of dislocated metric spaces. The work is supported by illustrative examples.