Fixed point theorems for Altman type mappings
type: Item
instance of: scholarly article
title: Fixed point theorems for Altman type mappings
zbMATH Open document ID: 0633.54020
author: S. P. Singh
author: Antonio Carbone
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Let (X,d) be a metric space. A map \(f: X\to X\) is called a generalized contraction if d(fx,fy)\(\leq Q(d(x,y))\), for all x,y\(\in X\), where Q is a real valued function satisfying: (i) \(0<Q(s)<s\), for \(s\in (0,s_ 1],\) (ii) \(g(s)=(s/s-Qs)\) is nonincreasing and (iii) \(\int^{s_ 1}_{0}g(s)ds<+\infty.\) Some fixed point theorems and the coincidence theorems for generalized contractions are given. The obtained results generalize some earlier results of M. Altman, G. Jungck, B. Watson, B. Meade, C. Norris, V. N. Sehagal and R. Sen.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 4030493
zbMATH Keywords: generalized contraction
zbMATH Keywords: fixed point theorems
zbMATH Keywords: coincidence theorems
reviewed by: Lech Górniewicz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4030493