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On equations with continuous mappings in Banach spaces

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Publication:1966298
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DOI10.1007/BF02465150zbMath0953.47043MaRDI QIDQ1966298

Kamal N. Soltanov

Publication date: 17 January 2001

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemfixed pointinclusionlower semicontinuous mappingmany-valued continuous mappingsnonlinear second order partial differential equation


Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)


Related Items (5)

Nonlinear Operators, Fixed-Point Theorems, Nonlinear Equations ⋮ Some remarks on spectrum of nonlinear continuous operators ⋮ Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators ⋮ On noncoercive semilinear equations ⋮ Perturbation of the mapping and solvability theorems in Banach space



Cites Work

  • Continuous selections. I
  • Geometry of Banach spaces. Selected topics
  • Invariance of domain theorem for locally A-proper mappings and its implications
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