Common fixed points of hybrid maps and an application

被引:11
作者
Ahmed, M. A. [1 ]
机构
[1] Assiut Univ, Dept Math, Fac Sci, Assiut 71516, Egypt
关键词
Hybrid maps; Coincidence point; Fixed point; S-weak commutativity; J-tangential; THEOREMS; CONTRACTIONS; COINCIDENCE; MAPPINGS; SPACES;
D O I
10.1016/j.camwa.2010.07.022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a new notion that is a generalization of Definition 2.1, Kamran and Caki (2008) [3]. Using this notion, we establish a new result, that is, coincidence and fixed points for two hybrid pairs of nonself-maps satisfying an implicit relation. This result generalizes the multivalued version of some known results (see, lmdad and Ali (2007) [12] and the references therein). Also, the same result generalizes Theorem 2.8, Liu et al. (2005) [4] As application, we prove a coincidence point theorem for hybrid nonself-maps in product spaces. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1888 / 1894
页数:7
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