3 papers
math.FA2014
Endpoints of multi-valued weak contractions on the metric space valued in partially ordered groups
Congdian Cheng
We introduce the metric space valued in partially ordered groups, and define the convergence of sequences and the multi-valued weak contractions, etc., on the space. We then establ…
math.FA2011
A Class of Extended Ishikawa Iterative Processes in Banach Spaces for Nonexpansive Mappings
Congdian Cheng, Hongyan Guan
A class of extended Ishikowa Iterative processes is proposed and studied, which involves many kinds of Mann and Ishikawa iterative processes. The main conclusion of the present wor…
math.FA2011
Common fixed points and endpoints of multi-valued generalized weak contraction mappings
Congdian Cheng
Let (X, d) be a complete metric space, and let S, T : X to CB(X) be a duality of multi-valued generalized weak contraction mappings or a duality of generalized weak contraction map…