STRONG AND WEAK CONVERGENCE THEOREMS FOR SOLUTIONS EQUATIONS OF HAMMERSTEIN-TYPE

Eric Uwadiegwu Ofoedu, Chimezie Bona Osigwe, Kingsley Obinna Ibeh, Lovelyn Ogechukwu Madu

Abstract


In this paper, it is our aim  to introduce a new iterative algorithm for approximation of     solution of an equation of  Hammerstein-type. The proposed scheme does not involve computation of inverse of operators under study; it does not involve passing through computation of a certain set  that must contain a solution of the equation of Hammerstein-type  before convergence takes place. The proposed scheme requires only one parameter satisfying verifiable mild conditions. Moreover, the mappings involved are neither defined on compact subset of the space under study, nor assumed to be angle bounded. Our theorems complement several results that have been obtained in this direction.


Refbacks

  • There are currently no refbacks.