an:06409297
Zbl 1314.47068
Asaduzzaman, M.; Ali, M. Zulfikar; Khatun, M. Saleha
On some fixed point problems of non-expansive mapping and shrinking mapping
EN
JP J. Fixed Point Theory Appl. 9, No. 2, 67-85 (2014).
0973-4228
2014
j
47H09 47H10
fixed point; contraction mapping; non-expansive mapping; shrinking mapping
Summary: \textit{D. R. Smart} in his book [Fixed point theorems. London: Cambridge University Press (1974; Zbl 0297.47042)]' raised some problems to describing the fixed point properties of non-expansive mapping and shrinking mapping. In this paper, we have introduced and solved these fixed point problems connecting to non-expansive mapping and shrinking mapping. Here we have also introduced and solved two other fixed point problems of non-expansive mapping where the mapping is defined on the Hilbert space.
0297.47042