International Journal of Mathematics and Mathematical Sciences 
Volume 4 (1981), Issue 1, Pages 201-207
doi:10.1155/S0161171281000148

A generalization of contraction principle

K. M. Ghosh

 Dept. of Pure Mathematics, Calcutta University, 35, Ballygunge Circular Road, Calcutta 700019, India
Received 6 December 1979; Revised 21 April 1980

Abstract

In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping. Using the generalized mean value contraction, some fixed point theorems are discussed.