Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Iterative Algorithms with Variable Coefficients for Multivalued Generalized | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010 Article ID 982352 13 pages doi 2010 982352 Research Article Iterative Algorithms with Variable Coefficients for Multivalued Generalized O-Hemicontractive Mappings without Generalized Lipschitz Assumption Ci-Shui Ge Department of Mathematics and Physics Anhui University of Architecture Hefei Anhui 230022 China Correspondence should be addressed to Ci-Shui Ge gecishui@ Received 17 August 2010 Accepted 8 November 2010 Academic Editor Tomonari Suzuki Copyright 2010 Ci-Shui Ge. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We introduce and study some new Ishikawa-type iterative algorithms with variable coefficients for multivalued generalized O-hemicontractive mappings. Several new fixed-point theorems for multivalued generalized O-hemicontractive mappings without generalized Lipschitz assumption are established in p-uniformly smooth real Banach spaces. A result for multivalued generalized O-hemicontractive mappings with bounded range is obtained in uniformly smooth real Banach spaces. As applications several theorems for multivalued generalized O-hemiaccretive mapping equations are given. 1. Introduction Let X be a real Banach space and X the dual space of X. denotes the generalized duality pairing between X and X . J is the normalized duality mapping from X to 2X given by J x J x f e X x f Ilf II x f II x x e X. Let D be a nonempty convex subset of X and CB D the family of all nonempty bounded closed subsets of D. H - denotes the Hausdorff metric on CB D defined by H A B max- supinf x - y supinf x - y ị A B e CB D . 2 Fixed Point Theory and Applications We use F T to denote the fixed-point set of T that is F T x x e Tx . N denotes the set of nonnegative integers. Recall that a mapping T D D is called to .
