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A New Method for Proving Existence Theorems for Abstract Hammerstein Equations

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Listed:
  • C. E. Chidume
  • C. O. Chidume
  • Ma’aruf Shehu Minjibir

Abstract

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 Hilbert space and does not involve the use of deep variational techniques.

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Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:627260
DOI: 10.1155/2015/627260
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