We introduce supsets and infsets for subsets of a partially ordered topological linear space, These notions generalize the usual notions of supremum and infimum in Riesz spaces, We shall investigate properties of supsets and infsets in this paper.
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Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USAShawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
Li, Jinlu
Wang, Yuehu
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Nanjing Univ Finance & Econ, Sch Management Sci & Engn, Nanjing 210023, Peoples R ChinaShawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
Wang, Yuehu
Wen, Ching-Feng
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Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan
Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
Kaohsiung Med Univ, Dept Med Res, Kaohsiung Med Univ Hosp, Kaohsiung 80708, TaiwanShawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
Wen, Ching-Feng
Yao, Jen-Chih
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Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung, TaiwanShawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
Yao, Jen-Chih
Zhang, Congjun
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Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Peoples R ChinaShawnee State Univ, Dept Math, Portsmouth, OH 45662 USA