Existence Principles for Inclusions of Hammerstein Type Involving Noncompact Acyclic Multivalued Maps
Date
2002-01-03
Authors
Couchouron, Jean-Francois
Precup, Radu
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We apply Monch type fixed point theorems for acyclic multivalued maps to the solvability of inclusions of Hammerstein type in Banach spaces. Our approach makes possible to unify and improve the existence theories for nonlinear evolution problems and abstract integral inclusions of Volterra and Fredholm type.
Description
Keywords
Fixed point, Multivalued map, Acyclic set, Integral inclusion, Hammerstein equation, Evolution equation, Boundary value problem
Citation
Couchouron, J. F., & Precup, R. (2002). Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps. <i>Electronic Journal of Differential Equations, 2002</i>(04), pp. 1-21.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.