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DOI: 10.23952/cot.2025.52
Received June 14, 2024; Accepted December 27, 2024; Published online December 25, 2025
Abstract. In this paper, we introduce the concept of (RC)-condition and present some sufficient conditions for the (RC)-condition. We show that a sequence in a metric space satisfying the (RC)-condition is Cauchy. Some new fixed point theorems and new simultaneous generalizations of celebrated fixed point theorems for (RC)-condition are established.
How to Cite this Article:
W.S. Du, Some simultaneous generalizations of celebrated fixed point theorems induced by the (RC)-condition, Commun. Optim. Theory 2025 (2025) 52.