EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 45(59), pp. 179--183 (1989)

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ON WEAK CONVERGENCE TO THE FIXED POINT OF A GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAP

R. N. Mukherjee, Tanmoy Som and Vandana Verma

Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221005, India

Abstract: Opial's type of convergence theorem [3] is extended to the case of a generalized asymptotically nonexpansive map in uniformly convex Banach space having a weak duality mapping. Bose's result would follow as a corollary to Theorem 3.1 of present work.

Classification (MSC2000): 54H25, 47H10; 54C60

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