TY - JOUR AU - Luo, Yinglin AU - Su, Yongfu AU - Gao, Wenbiao PY - 2017 TI - Homeomorphism metric space and the fixed point theorems JO - Journal of Nonlinear Sciences and Applications SP - 5132--5141 VL - 10 IS - 10 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.10.01 DO - 10.22436/jnsa.010.10.01 ID - Luo2017 ER - TY - JOUR TI - An essential remark on fixed point results on multiplicative metric spaces AU - R. P. Agarwal AU - E. Karapınar AU - B. Samet JO - Fixed Point Theory Appl. PY - 2016 DA - 2016// VL - 2016 ID - Agarwal2016 ER - TY - JOUR TI - Multiplicative calculus and its applications AU - A. E. Bashirov AU - E. M. Kurplnar AU - A. Ozyaplcl JO - J. Math. Anal. Appl. PY - 2008 DA - 2008// VL - 337 ID - Bashirov2008 ER - TY - JOUR TI - On modeling with multiplicative differential equations AU - A. E. Bashirov AU - E. Misirli AU - Y. Tandogdu AU - A. Ozyaplcl JO - Appl. Math. J. Chinese Univ. PY - 2011 DA - 2011// VL - 26 ID - Bashirov2011 ER - TY - JOUR TI - Contraction mappings in b-metric spaces AU - S. Czerwik JO - Acta Math. Inform. Univ. Ostraviensis PY - 1993 DA - 1993// VL - 1 ID - Czerwik1993 ER - TY - JOUR TI - Extensions of two fixed point theorems of F. E. Browder AU - K. Fan JO - Math. Z. PY - 1969 DA - 1969// VL - 112 ID - Fan 1969 ER - TY - JOUR TI - Multiplicative calculus in biomedical image analysis AU - L. Florack AU - H. Van Assen JO - J. Math. Imaging Vision PY - 2012 DA - 2012// VL - 42 ID - Florack2012 ER - TY - JOUR TI - Proximinal retracts and best proximity pair theorems AU - W. A. Kirk AU - S. Reich AU - P. Veeramani JO - Numer. Funct. Anal. Optim. PY - 2003 DA - 2003// VL - 24 ID - Kirk2003 ER - TY - JOUR TI - Further generalized contraction mapping principle and best proximity theorem in metric spaces AU - Y. Su AU - J.-C. Yao JO - Fixed Point Theory Appl. PY - 2015 DA - 2015// VL - 2015 ID - Su2015 ER - TY - JOUR TI - A note on ‘A best proximity point theorem for Geraghty-contractions’ AU - J. Zhang AU - Y. Su AU - Q. Cheng JO - Fixed Point Theory Appl. PY - 2013 DA - 2013// VL - 2013 ID - Zhang2013 ER - TY - JOUR TI - Best proximity point theorems for generalized contractions in partially ordered metric spaces AU - J. Zhang AU - Y. Su AU - Q. Cheng JO - Fixed Point Theory Appl. PY - 2013 DA - 2013// VL - 2013 ID - Zhang2013 ER -