TY - JOUR AU - Babu, G. V. R. AU - Alemayehu, G. N. PY - 2011/03/22 Y2 - 2024/03/29 TI - Fixed points of nodal contractions in cone metric spaces JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 42 IS - 1 SE - Papers DO - 10.5556/j.tkjm.42.2011.595 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/595 SP - 39-51 AB - We introduce local power contractions and nodal contractions in cone metric spaces and prove the existence of fixed points of such contractions in cone metric spaces. Our theorems generalize the results of Haung and Zhang [L-G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468-1476]. ER -