TY - JOUR AU - Bachar, M. AU - Khamsi, Mohamed A. AU - Kozlowski, W. M. AU - Bounkhel, M. PY - 2018 TI - Common fixed points of monotone Lipschitzian semigroups in Banach spaces JO - Journal of Nonlinear Sciences and Applications SP - 73--79 VL - 11 IS - 1 AB - In this paper, we investigate the existence of common fixed points of monotone Lipschitzian semigroup in Banach spaces under the natural condition that the images under the action of the semigroup at certain point are comparable to the point. In particular, we prove that if one map in the semigroup is a monotone contraction mapping, then such common fixed point exists. In the case of monotone nonexpansive semigroup we prove the existence of common fixed points if the Banach space is uniformly convex in every direction. This assumption is weaker than uniform convexity. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.01.06 DO - 10.22436/jnsa.011.01.06 ID - Bachar2018 ER -