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Authors
Affiliations
1 Hajvery University, 43-52 Industrial Area, Gulberg-III, Lahore, PK
2 Department of Mathematics, Aligarh Muslim University, Aligarh - 202 002, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 1-2 (2014), Pagination: 147-153
Abstract
The purpose of this paper is to characterize conditions for the convergence of the implicit Mann iterative scheme due to Xu and Ori (An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001), (767-773) to the unique fixed point of φ-hemicontractive mappings defined on a nonempty convex subset of an arbitrary Banach space.
Keywords
Implicit Iterative Scheme, φ-Hemicontractive Mappings, Banach Spaces.