Homeomorphism metric space and the fixed point theorems


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.


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ISRP Style

Yinglin Luo, Yongfu Su, Wenbiao Gao, Homeomorphism metric space and the fixed point theorems, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5132--5141

AMA Style

Luo Yinglin, Su Yongfu, Gao Wenbiao, Homeomorphism metric space and the fixed point theorems. J. Nonlinear Sci. Appl. (2017); 10(10):5132--5141

Chicago/Turabian Style

Luo, Yinglin, Su, Yongfu, Gao, Wenbiao. "Homeomorphism metric space and the fixed point theorems." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5132--5141


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