Common fixed points of biased maps of type \((A)\) and applications
type: Item
instance of: scholarly article
title: Common fixed points of biased maps of type \((A)\) and applications
zbMATH Open document ID: 0920.47051
DOI: 10.1155/S0161171298000945
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-09-16T00:00:00Z
full work available at URL: https://eudml.org/doc/48222
review text: Summary: A generalization of compatible maps of type \((A)\) called ``biased maps of type \((A)\)'' is introduced and used to prove fixed point theorems for certain contractions of four maps. Extensions of known results are thereby obtained, i.e., the results of Pathak, Prasad, Jungck et al. are improved. Some problems on convergence of selfmaps and fixed points are also discussed. Further, we use our main results to show the existence of solutions of nonlinear integral equations.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1230042
zbMATH Keywords: \(S\)-biased maps
zbMATH Keywords: common fixed point
zbMATH Keywords: simultaneous Volterra-Hammerstein equation
zbMATH Keywords: biased maps of type \((A)\)
zbMATH Keywords: compatible maps of type \((A)\)
zbMATH Keywords: fixed point theorems
zbMATH Keywords: contractions of four maps
zbMATH Keywords: nonlinear integral equations
author: H. K. Pathak
author: Yeol Je Cho
author: Shin Min Kang
MaRDI profile type: Publication
OpenAlex ID: W2151047336
description: scientific article; zbMATH DE number 1230042