M. A. Onyido

A Theorem for Zeros of Maximal Monotone and Bounded Maps in Certain Banach Spaces

M. A. Onyido, M. O. Uba, M. I. Uzochukwu, P. U. Nwokoro & E. E. Otubo · Journal of Advances in Mathematics and Computer Science · 2016

Let X be a p-uniformly convex and q-uniformly smooth real Banach space with dual space X*. Let T1 : X → 2X* and T2 : X → 2X* be bounded maximal monotone mappings. An iterative process is constructed and proved to converge strongly to a zero of sum of the two maps.

Open access Research Article 10.9734/BJMCS/2016/28720

Iterative Approximation of Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Banach Spaces

M. O. Uba, M. A. Onyido & P. U. Nwokoro · Journal of Advances in Mathematics and Computer Science · 2016

Let X be a uniformly convex and uniformly smooth real Banach space with dual space X*. Let F : X → X* and K : X* → X be bounded maximal monotone mappings. Suppose the Hammerstein equation u + KFu = 0 has a solution. An iteration sequence is constructed and proved to converge stro...

Open access Research Article 10.9734/BJMCS/2016/28691

An Algorithm for Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Classical Banach Spaces

M. O. Uba & M. A. Onyido · Journal of Advances in Mathematics and Computer Science · 2016

Let X = lp , 2 ≤ p < ∞. Let F : X → X* and K : X* → X be bounded maximal monotone mappings such that the Hammerstein equation u+KFu = 0 has a solution. An explicit iteration sequence is constructed and proved to converge strongly to a solution of this equation. Our method of p...

Open access Research Article 10.9734/BJMCS/2016/28512