Abstract: For a maximal monotone operator $T$ in a Banach space an iterative solution of $0\in Tx$ has been found through weak and strong convergence of resolvents of these operators. Identity mapping in the definition of resolvents has been replaced by the duality mapping. Solution after finite steps has also been established.
Keywords: Resolvent, maximal monotone operator, weak convergence, strong convergence, iteration scheme.
Classification (MSC2000): 47H05; 49M05
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