Let be a convex metric space,
a non-empty closed subset of
and
a non-self almost contraction. Berinde and Păcurar [Berinde, V. and Păcurar, M., Fixed point theorems for nonself single-valued almost contractions, Fixed Point Theory, 14 (2013), No. 2, 301–312], proved that if
has the so called property
and satisfies Rothe’s boundary condition, i.e., maps
(the boundary of
) into
, then
has a fixed point in
. In this paper we observe that property
can be removed and, hence, the above fixed point theorem takes place in a different setting.
Fixed points of non-self almost contractions
Alghamdi, Maryam A., Berinde, Vasile and Shahzad, Nasser
Abstract

Additional Information
Author(s) | Alghamdi, Maryam A., Berinde, Vasile, Shahzad, Nasser |
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