Local solvability of a constrainedgradient system of total variation

C. E. Chidume and H. Zegeye

Abstract and Applied Analysis, 2003, vol. 2003, issue 6, 353-365

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 + KFu 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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https://doi.org/10.1155/S1085337503209052

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:6:p:353-365

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