2025/10/13 by Bekri, Zouaoui, Fabiano, Nicola
#47H09 #47H10 #54H25 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2510.11975
In this paper, we introduce a new contraction condition that combines the framework of Singh's extension with the classical Chatterjea contraction. This generalized form, called the Singh-Chatterjea contraction, is defined on the p-th iterate of a mapping. We establish fixed point theorems for such mappings in complete metric spaces and show that our results extend and unify both Singh's and Chatterjea's classical fixed point theorems. Illustrative examples and a simple numerical implementation are provided to demonstrate the applicability of the obtained results.