PICARD OPERATORS IN STRONG b-TVS CONE METRIC SPACES

Abstract

Let X be a topological space. A mapping T : X ! X is called a Picard operator if T has a unique fixed point ¯ x 2 X and for any x 2 X, the sequence of iterates fT nxg converge to ¯ x. In this paper, we give new results concerning the existence of Picard operators in strong b-TVS cone metric space. Our result is an extension of Sh. Rezapuor and R. Hamlbarani [19].