On multiplicative metric spaces: survey

Fixexd point theory and applications

enović¹  Tatjana Doš²  Mihai Postolache^{3  4} 

[1] Faculty of Applied Sciences, University PolitehnicaĭFaculty of Technology, University of Novi Sad, Novi Sad, Serbia;Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;of Bucharest, Bucharest, Romania

关键词: multiplicative metric space;    fixed point;    continuous;    nondecreasing;    lower semi-continuous mapping;    47H10;    54H25;   

DOI  :  10.1186/s13663-016-0584-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this survey is to prove that the fixed point results for various multiplicative contractions are in fact equivalent to the corresponding fixed point results in (standard) metric spaces. For example, such are recent results established by He et al. (Fixed Point Theory Appl. 2014:48, 2014), Mongkolkeha and Sintunavarat (J. Nonlinear Sci. Appl. 8:1134-1140, 2015) and Abdou (J. Nonlinear Sci. Appl. 9:2347-2363, 2016) and all others from the list of references. Our results here generalize, complement, and improve recent ones from existing literature.

【 授权许可】

CC BY