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 · pp. 1–12 · Published 13 Oct 2016
10.9734/BJMCS/2016/28720Abstract
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.
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