The Sehgal’s Fixed Point Result in the Framework of <i>ρ</i>-Space

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 ρ-space
• rectangular b-metric space
• dislocated metric space