On equations with continuous mappings in Banach spaces
type: Item
instance of: scholarly article
title: On equations with continuous mappings in Banach spaces
zbMATH Open document ID: 0953.47043
DOI: 10.1007/BF02465150
publication date: 2001-01-17T00:00:00Z
review text: Certain properties of single-valued and many-valued continuous mappings of Banach spaces are studied and solvability conditions of certain equations and inclusions involving such mappings are obtained using the earlier results of the author [Dokl. Akad. Nauk SSSR \textbf{289}, No.~6, 1318-1323 (1986); translation in Sov. Math. Dokl. 34, 242-246 (1987; Zbl 0623.47076)]. An application to the Dirichlet problem for a nonlinear second order partial differential equation is presented.
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47N10
zbMATH DE Number: 1407621
zbMATH Keywords: many-valued continuous mappings
zbMATH Keywords: lower semicontinuous mapping
zbMATH Keywords: fixed point
zbMATH Keywords: inclusion
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: nonlinear second order partial differential equation
author: K. Soltanov
reviewed by: A. Rontó
MaRDI profile type: Publication
cites work: Geometry of Banach spaces. Selected topics
cites work: Invariance of domain theorem for locally A-proper mappings and its implications
cites work: Continuous selections. I
cites work: Q5730999
cites work: Q5802377
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1407621