Nonlinear equations in Banach spaces are considered. Solvability conditions are obtained for them. These results are a generalization of the Hadamard diffeomorphism theorem. Additionally, conditions for the existence of coincidence points of two mappings acting on metric spaces are obtained.
机构:
RUDN Univ, Moscow 117198, Russia
Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, RussiaRUDN Univ, Moscow 117198, Russia
机构:
Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
Zhenjiang Coll, Danyang Normal Sch, Zhenjiang 212300, Jiangsu, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
Bu, Yucheng
Dong, Yujun
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Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China