TY - JOUR AU - Babu, C. V. R. AU - Kameswari, M. V. R. PY - 2005/03/31 Y2 - 2024/03/28 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 -