منابع مشابه
On perturbations of accretive mappings
In this paper, we study the following operator equation: p ∈ Ax + Cx in a Banach space X , where A : D(A) ⊆ X → 2X is an accretive mapping, C : D(C) ⊆ X → X is a nonlinear mapping and p ∈ X . Various existence results of solutions of nonlinear operator equations in Banach spaces are obtained under a countably condensing type condition. © 2004 Elsevier Ltd. All rights reserved.
متن کاملp-REGULAR MAPPINGS AND ALTERNATIVE RESULTS FOR PERTURBATIONS OF m-ACCRETIVE OPERATORS IN BANACH SPACES
In what follows, the symbol X stands for a real Banach space with norm ‖ · ‖ and (normalized) duality mapping J. Moreover, “continuous” means “strongly continuous” and the symbol “→” (“⇀”) means strong (weak) convergence. The symbol R (R+) stands for the set (−∞,∞) ([0,∞)) and the symbols ∂D, intD, D denote the strong boundary, interior and closure of the set D, respectively. An operator T : X ...
متن کاملImplicit Function Theorems for M-accretive and Locally Accretive Set-valued Mappings
In this paper we elaborate new methods to the theory of parametric generalized equations governed by accretive mappings. Two implicit function theorems will be proved, one for m-accretive and another for locally accretive and continuous set-valued mappings. Making use of the theorem for m-accretive mappings we will study parametric nonlinear evolution problems. It will be also shown that there ...
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Several mapping results are given involving compact perturbations and compact resolvents of accretive and m-accretive operators. A simple and straightforward proof is given to an important special case of a result of Morales who has recently improved and/or extended various results by the author and Hirano. Improved versions of results of Browder and Morales are shown to be possible by studying...
متن کاملA new iterative algorithm for the sum of infinite m-accretive mappings and infinite μi$\mu_{i}$-inversely strongly accretive mappings and its applications to integro-differential systems
A new three-step iterative algorithm for approximating the zero point of the sum of an infinite family ofm-accretive mappings and an infinite family ofμi-inversely strongly accretive mappings in a real q-uniformly smooth and uniformly convex Banach space is presented. The computational error in each step is being considered. A strong convergence theorem is proved by means of some new techniques...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2005
ISSN: 0893-9659
DOI: 10.1016/j.aml.2004.06.023