Homeomorphism metric space and the fixed point theorems

Volume 10, Issue 10, pp 5132--5141 http://dx.doi.org/10.22436/jnsa.010.10.01 Publication Date: October 12, 2017

Authors

Yinglin Luo - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
Yongfu Su - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
Wenbiao Gao - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China


Abstract

The purpose of this paper is to introduce the concept of the homeomorphism metric space and to prove the fixed point theorems and the best proximity point theorems for generalized contractions in such spaces. The multiplicative metric space is a special form of the homeomorphism metric space. The results of this paper improve and extend the previously known ones in the literature.


Keywords


References

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