Common fixed points via b-simulation functions and digraphs

  • Sushanta Kumar Mohanta West Bengal State University
  • Deep Biswas

Abstract

The basic purpose of this article is to define a generalized G-contraction by using the notion of b-simulation functions and discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying such contractions in the setting of b-metric spaces endowed with a graph. Our result will extend and unify several existing results in the literature.

Published
May 28, 2018
How to Cite
MOHANTA, Sushanta Kumar; BISWAS, Deep. Common fixed points via b-simulation functions and digraphs. Nonlinear Studies, [S.l.], v. 25, n. 2, p. 345-357, may 2018. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1484>. Date accessed: 25 june 2018.