Perturbation of the mapping and solvability theorems in Banach space |
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Authors: | Kamal N Soltanov |
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Institution: | Department of Mathematics, Faculty of Sciences, Hacettepe University, Beytepe, Ankara, TR-06532, Turkey |
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Abstract: | 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. |
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Keywords: | primary 47J10 47H14 46E35 secondary 35G15 35Q55 |
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