Affiliations: School of Business, Jiangsu University of Technology, Changzhou, Jiangsu, China | Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX, USA
Note: [] Corresponding author. Haishu Lu, School of Business, Jiangsu University of Technology, Changzhou 213001, Jiangsu, China. Tel.: +8613961400840; Fax: +86051986953300; E-mails: luhaishu@126.com (H. Lu); qingwen@utdallas.edu (Q. Hu).
Abstract: We develop generalized selection theorems for fuzzy mappings in finite weakly convex spaces (in short, FWC-spaces) without any linear, convex, and topological structure. Applying the generalized selection theorems in noncompact FWC-spaces, we obtain new fuzzy collective coincidence point theorems and fuzzy collectively fixed point theorems. These results generalize many known theorems in the literature.
Keywords: FWC-space, generalized selection, fuzzy mapping, fuzzy collective coincidence point, fuzzy collectively fixed point
