A New Method for Proving Existence Theorems for Abstract Hammerstein Equations

An abstract Hammerstein equation is an equation of the form u+KFu=0. A new method is introduced to prove the existence of a solution of this equation where K and F are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hi...

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Bibliographic Details
Main Authors: C. E. Chidume, C. O. Chidume, Ma’aruf Shehu Minjibir
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/627260