A New Approach of Proinov-Type Contractions on Metric Spaces
Rahrovi S. Piri H. Tisdell C.C. Raikhan M.
April 2025University of Maragheh
Sahand Communications in Mathematical Analysis
2025#22Issue 2175 - 200 pp.
In this paper, we define the classes of Proinov D−contraction and generalized Proinov D−contraction which are properly larger than the classes of (ψ, φ)−contraction and generalized (ψ, φ)−contraction studied by Proinov (2020) and improved and corrected by Popescu (2021). Also, the given results are a real generalization of Banach’s contraction principle, Ćirić (1971) and Boyd and Wong (1969). The given examples demonstrate that our results generalize the results announced by Popescu and Proinov effectively and robustly.
Banach contraction principle , fixed point , Metric space , Picard iteration
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Department of Mathematics, Faculty of Science, University of Bonab, Bonab, Iran
School of Mathematics and Statistics, The University of New South Wales, UNSW, Sydney, 2052, Australia
Astana IT University, Kazakhstan
Department of Mathematics
School of Mathematics and Statistics
Astana IT University
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