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RESEARCH PRODUCT

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

Dariusz WardowskiNicolae Adrian SeceleanMi Zhou

subject

Sehgal theoremrectangular b-metric spacefixed pointGeneral Mathematicsstrong ρ-spaceMathematicsofComputing_GENERALQA1-939Computer Science (miscellaneous)Engineering (miscellaneous)dislocated metric spaceMathematics

description

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.

https://doi.org/10.3390/math10030459