Upper semicontinuous selections for fuzzy mappings in noncompact $ WPH $-spaces with applications

• DOI: 10.3934/math.2022773
• Publication Date: 2022-05-28T10:13:13Z
• Authors: Haishu Lu; Xiaoqiu Liu; Rong Li
• Keywords: Maximal element

<abstract><p>In this paper, we introduce the concept of a $ WPH $-space without linear structure and proceed to establish new upper semicontinuous selection theorem for fuzzy mappings in framework noncompact $-spaces as well special form crisp settings. As applications, collective coincidence point theorems, collectively fixed existence theorems equilibria generalized games with three constraint set-valued qualitative are obtained. their cases settings, derive games. Finally, construct multiobjective game model water resource allocation prove Pareto based on games.</p></abstract>