Author/Authors :
Zhang, Lihong Shanxi Normal University - School of Mathematics and Computer Science, China , Song, Guangxing China University of Petroleum - College of Science, China , Wang, Guotao Shanxi Normal University - School of Mathematics and Computer Science, China , Wang, Hongwei China University of Petroleum - College of Science, China
Abstract :
In this paper, we prove some new fixed point theorems for a mixed monotone mapping under more generalized nonlinear contractive conditions in a metric space endowed with partial order. Our results generalize and improve several results due to the work of Gnana Bhaskar and Lakshmikantham.
Keywords :
Coupled fixed point , Partially ordered set , Nonlinear contraction mapping , Monotone iterative technique