Tinjauan Teorema Titik Tetap pada Beberapa Kontraksi Tipe Chatterjea di Ruang Metrik Klasik
Keywords:
Fixed Point, Chatterjea Contraction, Metric Space, Weak C-Contraction, ImplicationAbstract
This paper reviews fixed point theorems for five variants of Chatterjea-type contractions in classical metric spaces: Zamfirescu, Ćirić, weak C-contraction, Singh-Chatterjea, and Suzuki-Chatterjea. Through a comparative literature study approach, we map the logical implication relationships among these contraction classes in a table format. The results show that the classical Chatterjea contraction implies all the discussed variants, but not vice versa. Furthermore, it is emphasized that Chatterjea contraction is not a generalization of Banach contraction; rather, it stands as an independent class characterized by cross-distance. This review also highlights the theoretical advantage of Chatterjea contraction in characterizing metric space completeness, a property not possessed by Banach contraction. This article is expected to serve as a systematic initial reference for novice researchers in navigating the hierarchy of Chatterjea-type fixed point theorems.
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