In this paper, our focus of attention is the introduction of a new iterative algorithm based on the resolvent operator method for approximating a common element of the set of fixed points of a generalized nearly asymp...
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In this paper, our focus of attention is the introduction of a new iterative algorithm based on the resolvent operator method for approximating a common element of the set of fixed points of a generalized nearly asymptotically nonexpansive mapping and the set of solutions of a system of variational inclusions in a real Banach space setting. We prove that, under some appropriate conditions, the sequence generated by our suggested iterative scheme converges strongly to a common element of the above-mentioned two sets.
A new system of set-valued variational inclusions involving generalized H(·, ·)-accretive mapping in real q-uniformly smooth Banach spaces is introduced, and then based on the generalized resolventoperator ...
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A new system of set-valued variational inclusions involving generalized H(·, ·)-accretive mapping in real q-uniformly smooth Banach spaces is introduced, and then based on the generalized resolventoperator technique associated with H(·, ·)-accretivity, the existence and approximation solvability of solutions using an iterative algorithm is investigated.
In this paper, we introduce and consider a new system of generalized mixed quasi-variational inclusions with (A, eta)-monotone mappings. We prove the convergence of a new iterative algorithm for this system of general...
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In this paper, we introduce and consider a new system of generalized mixed quasi-variational inclusions with (A, eta)-monotone mappings. We prove the convergence of a new iterative algorithm for this system of generalized mixed quasi-variational inclusions. Our results can be viewed as a refinement and improvement of the previously known results in the literature. (C) 2009 Elsevier Inc. All rights reserved.
A new class of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in a Hilbert space setting is introduced, and then based on the generalized resolventoperator technique associated with ...
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A new class of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in a Hilbert space setting is introduced, and then based on the generalized resolventoperator technique associated with (A, eta)-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm is investigated. (c) 2007 Elsevier Inc. All rights reserved.
First a new system of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in Hilbert spaces is introduced and then its solvability is explored. Based on the general resolventoperator meth...
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First a new system of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in Hilbert spaces is introduced and then its solvability is explored. Based on the general resolvent operator method associated with (A, eta)-monotone mappings, approximation solvability of this system of nonlinear set-valued variational inclusions is established. The convergence analysis is discussed in detail. The obtained results generalize a number of results on nonlinear variational inclusion systems. (C) 2006 Elsevier Ltd. All rights reserved.
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