International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 1, Pages 201-206
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
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.