A new iteration scheme for a hybrid pair of generalized nonexpansive mappings

作者：Uddin Izhar; Abdou Afrah A N; Imdad Mohammad^*

来源：Fixed Point Theory and Applications, 2014, 2014(1): 205.

DOI：10.1186/1687-1812-2014-205

• Banach spaces
• fixed point
• condition (C)

In this paper, we construct an iteration scheme involving a hybrid pair of nonexpansive mappings and utilize the same to prove some convergence theorems. In the process, we remove a restricted condition (called end-point condition) in Sokhuma and Kaewkhao's results (Fixed Point Theory Appl. 2010:618767, 2010). Thus, our results generalized and improved several results contained in Sokhuma and Kaewkhao (Fixed Point Theory Appl. 2010:618767, 2010), Akkasriworn et al. (Int. J. Math. Anal. 6(19):923-932, 2012), Uddin et al. (Bull. Malays. Math. Soc., accepted) and Sokhuma (J. Math. Anal. 4(2):23-31, 2013).

• 出版日期2014-10-6