Banach Space;
Open Subset;
Open Neighbourhood;
Implicit Function Theorem;
Topological Vector Space;
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摘要:
We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.
机构:
Fudan Univ, Sch Management, Shanghai 200433, Peoples R China
Luoyang Normal Univ, Dept Math, Luoyang 471022, Henan, Peoples R ChinaFudan Univ, Sch Management, Shanghai 200433, Peoples R China
Yang, Ming-ge
Xu, Yi-fan
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Fudan Univ, Sch Management, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Management, Shanghai 200433, Peoples R China
机构:
Rajalakshmi Engn Coll, Dept Math, Chennai 602105, Tamil Nadu, IndiaRajalakshmi Engn Coll, Dept Math, Chennai 602105, Tamil Nadu, India
Mageshwaran, Krishnamoorthy
Alessa, Nazeek
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Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi ArabiaRajalakshmi Engn Coll, Dept Math, Chennai 602105, Tamil Nadu, India
Alessa, Nazeek
Gopinath, Singaravelu
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Sri Sairam Inst Technol, Dept Math, Chennai 60004, Tamil Nadu, IndiaRajalakshmi Engn Coll, Dept Math, Chennai 602105, Tamil Nadu, India
Gopinath, Singaravelu
Loganathan, Karuppusamy
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机构:
Manipal Univ Jaipur, Dept Math & Stat, Jaipur 303007, Rajasthan, IndiaRajalakshmi Engn Coll, Dept Math, Chennai 602105, Tamil Nadu, India
机构:
Department of Financial Management and Accounting, Spiru Haret University, Brazda lui Novac Street, 4 Craiova 200690 Dolj,RomaniaDepartment of Mathematics, University of Craiova,A.I.Cuza Street, 13 Craiova 200585 Dolj, Romania