COMMON FIXED POINT OF SEMI-COMPATIBLE MAPS IN PARTIALLY ORDERED COMPLEX VALUED GENERALIZED METRIC SPACE

Authors

  • C.S. Chauhan (Department of Applied Mathematics, Institute of Engineering & Technology, Devi Ahilya University, Indore-452001 (M.P.), INDIA)
  • R.K. Sharma (Department of Mathematics, Govt. (Auto.) Holkar Science College, Devi Ahilya University, Indore-452001 (M.P.) INDIA)
  • V. Raich (Department of Mathematics, Govt. (Auto.) Holkar Science College, Devi Ahilya University, Indore-452001 (M.P.) INDIA)

Keywords:

Common fixed points, partially ordered set, complex-valued metric spaces, rational inequality, semi-compatible, weakly compatible, weak annihilator, dominating map

Abstract

In this paper, some common fixed point theorems for four semicompatible self-maps satisfying a rational type contraction in a recently generalization of the metric space namely, complex valued generalized metric space have been proved. The presented results generalize and extend the earlier results of Abbas et al. [2] and others.

 

Published

2023-06-15

Issue

Vol. 13 No. 02 (2017): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles