Common fixed points of single-valued and multivalued maps

Author:

Liu Yicheng1,Wu Jun2,Li Zhixiang1

Affiliation:

1. Department of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha 410073, China

2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China

Abstract

We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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