SOME REMARKS ON F − g−CONTRACTIONS IN METRIC SPACES | ||||
| Electronic Journal of Mathematical Analysis and Applications | ||||
| Volume 13, Issue 1, 2025, Page 1-7 PDF (206.96 K) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/ejmaa.2025.297733.1226 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Nora Fetouci  1; Stojan Radenovic2
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| 1Jijel University | ||||
| 2Faculty of Mechanical Engineering, University of Belgrade, Serbia. | ||||
| Abstract | ||||
| In the last little more than a hundred years, many research mathematicians have tried to generalize the mentioned Banach theorem. A large number of beautiful papers were written that continue to motivate many mathematicians. One of the significant results that generalizes Banach’s famous theorem is also the result of the Polish mathematician D. Wardowski [11]. After that result, more new ones were created, which now generalize Wardowski. The aim of this paper is to significantly improved and supplement the recently established results from the papers (R. Batra, S. Vashistha, Coincidence Point Theorem for a New Type of Contraction on Metric Spaces, Int. Journal of Math. Analysis, Vol. 8, 2014, no. 27, 1315 - 1320 and D. Wardowski, N. Van Dung, Fixed points of F−weak contractions on complete metric spaces, Demonstratio Mathematica Vol. XLVII No 1. 2014, 146-155, about F − g−contractions and F−weak contractions. In the entire paper, for the Wardowski function F, we assume only its strict increasing on (0,+1) i.e., the property F1. In both papers, the authors assume all three properties F1, F2 and F3 of the mappings F. | ||||
| Keywords | ||||
| fixed point; compatible; weakly compatible; coincidence point; point of coincidence | ||||
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