MMN-2034

Fixed point theorems in uniform space endowed with graph

  • Muhammad Usman Ali, Department of Sciences and Humanities, National University of Computer and Emerging Sciences (FAST), muh_usman_ali@yahoo.com
  • . Fahimuddin, Department of Mathematics, Quaid-i-Azam University, fahamiiu@gmail.com
  • Tayyab Kamran, Department of Mathematics, Quaid-i-Azam University, tayyabkamran@gmail.com
  • Erdal Karapinar, Department of Mathematics, Atilim University, erdalkarapinar@yahoo.com

Abstract

In this paper, we shall introduce the concepts of F_G-contraction and psi_G-contraction in uniform space endowed with a graph to investigate the existence of a fixed point of mappings satisfying these notions. We shall also introduce a common fixed point theorem for pair of mappings satisfying the notion of psi_G-contraction in uniform, space endowed with the graph.


Vol. 18 (2017), No. 1, pp. 57-69
DOI: 10.18514/MMN.2017.2034


Download: MMN-2034