TY - JOUR
AU - Babu, C. V. R.
AU - Kameswari, M. V. R.
PY - 2005/03/31
Y2 - 2022/08/18
TI - Some fixed point theorems relating to the orbital continuity
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 36
IS - 1
SE - Papers
DO - 10.5556/j.tkjm.36.2005.138
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/138
SP - 73-80
AB - In this paper, we prove a fixed point theorem for asymptotically regular mappings on a metric space using orbital continuity of the selfmap. As an application of this result, a fixed point theorem is established in $T$-orbitally complete metric spaces. Our results extend Mukherjee's theorem [4] to $T$-orbitally complete metric spaces, and generalize the theorems of Jotic [5] and Neu{s}i'{c} [6].
ER -