PICARD OPERATORS IN STRONGb-TVSCONE 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
∈
X
and for any
x
∈
X
,
the sequence of iterates
{
T
n
x
}
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