WEAK CONVERGENCE OF FIXED POINT ITERATIONS IN METRIC SPACES

S. IRUTHAYA RAJ; C. GANESA  MOORTHY

WEAK CONVERGENCE OF FIXED POINT ITERATIONS IN METRIC SPACES

Authors

S. IRUTHAYA RAJ Department of Mathematics, Alagappa University, Karaikudi - 630 004, Tamil Nadu, India
C. GANESA MOORTHY Department of Mathematics, Alagappa University, Karaikudi - 630 004, Tamil Nadu, India

Keywords:

Directed set, Fixed point iteration, Semi metric

Abstract

The concept of convergence in normed spaces is extended to metric spaces; and weak convergence of fixed point iterations of contractions on metric spaces is obtained in this article.