The Sehgal’s Fixed Point Result in the Framework of ρ -Space

Nicolae Adrian Secelean, Dariusz Wardowski and Mi Zhou
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Nicolae Adrian Secelean: Department of Mathematics and Computer Science, Faculty of Sciences, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
Dariusz Wardowski: Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łódź, 90-136 Łódź, Poland
Mi Zhou: School of Science and Technology & Center for Mathematical Research, University of Sanya, Sanya 572000, China

Mathematics, 2022, vol. 10, issue 3, 1-12

Abstract: In this paper, we prove a fixed point theorem of Sehgal type (see Sehgal, V.M., Proc Amer Math Soc 23: 631–634, 1969) in a more general setting of ρ -space (see Secelean, N.A. and Wardowski, D., Results Math, 72: 919–935, 2017). In this way, we can find, as particular cases, some results of Sehgal type in metric, b-metric and rectangular b-metric spaces.

Keywords: fixed point; Sehgal theorem; strong ?-space; rectangular b-metric space; dislocated metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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