Document Details Document Type : Article In Journal  Document Title : Convergence theorems for ψ-expansive and accretive mappings Convergence theorems for ψ-expansive and accretive mappings   Subject : Mathematics  Document Language : English  Abstract : Let E be a real Banach space, and let A : D (A) ⊆ E → E be a Lipschitz, ψ-expansive and accretive mapping such that over(c o, -) (D (A)) ⊆ ∩λ > 0 R (I + λ A). Suppose that there exists x0 ∈ D (A), where one of the following holds: (i) There exists R > 0 such that ψ (R) > 2 {norm of matrix} A (x0) {norm of matrix}; or (ii) There exists a bounded neighborhood U of x0 such that t (x - x0) ∉ A x for x ∈ ∂ U ∩ D (A) and t < 0. An iterative sequence {xn} is constructed to converge strongly to a zero of A. Related results deal with the strong convergence of this iteration process to fixed points of ψ-expansive and pseudocontractive mappings in real Banach spaces. The convergence results established in this paper are new for this more general class of ψ-expansive and accretive or pseudocontractive mappings.  ISSN : 0362-546X  Journal Name : Nonlinear Analysis, Theory, Methods and Applications  Volume : 66  Issue Number : 1  Publishing Year : 1428 AH 2007 AD  Article Type : Article  Added Date : Saturday, December 17, 2011  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email H Zegeye Zegeye, H Researcher Master habtuzh@yahoo.com نصير شهزاد Shahzad, Naseer Researcher Doctorate nshahzad@kau.edu.sa Files File Name Type Description  31680.pdf pdf Abstract Back To Researches Page