Perturbation of the mapping and solvability theorems in Banach space


Soltanov K. N.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.72, sa.1, ss.164-175, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Konu: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.na.2009.06.067
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Sayfa Sayıları: ss.164-175

Özet

Here we consider perturbations of continuous mappings on Banach spaces, and investigate their images under various conditions. Consequently we study the solvability of some classes of equations and inclusions. For these we start by the investigation of local properties of the considered mapping and local comparisons of this mapping with certain smooth mappings. Moreover, we study different mixed problems. (C) 2009 Elsevier Ltd. All rights reserved.