ISSN:1005-3026

A COMMON FIXED POINT THEOREM IN I-GENERALIZED METRIC SPACES

Sunny Kumara,1*, Ayaz Ahmadb,1

1 Department of Mathematics, National Institute of Technology, Patna (India)

asunnyk.phd19.ma@nitp.ac.in, bayaz@nitp.ac.in

Abstract

Here in, a common fixed point theorem of two self-mapping in the frame of generalized metric space under more generalized -weakly condition of contraction is presented, and then, an analogous version of this common fixed point theorem is presented in the frame of I-generalized metric space.

2020 Mathematics Subject Classification: 47H10; 54H25

Keywords: -weakly contraction, fixed point, rectangular metric space, coincidence point, common fixed point.