Local solvability of a constrainedgradient system of total variation

C. E. Chidume and H. Zegeye

Abstract and Applied Analysis, 2003, vol. 2003, 1-13

Abstract:

Suppose X is a real q -uniformly smooth Banach space and F , K : X → X with D ( K ) = F ( X ) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + K F u has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X . Our method of proof is of independent interest.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:431754

DOI: 10.1155/S1085337503209052

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