Existence of Fixed Points of Asymptotically Generalized Φ-Hemicontractive Mappings in the Intermediate Sense
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Date
2013
Authors
Olaleru, J.O
Okeke, G.A
Journal Title
Journal ISSN
Volume Title
Publisher
Hikari Ltd
Abstract
Let E be a real Banach space, C be a nonempty closed convex subset of E and T : C → C be a continuous generalized Φ-pseudocontractive mapping, Xiang [Chang He Xiang, Fixed point theorem for general- ized Φ-pseudocontractive mappings, Nonlinear Analysis 70 (2009) 2277- 2279] proved that T has a unique fixed point in C. It is our purpose in this study to extend the results of Xiang [11] to the class of asymptoti- cally generalized Φ-hemicontractive mappings in the intermediate sense, recently introduced by Okeke, Olaleru and Akewe [6].
Description
Keywords
Banach spaces , Fixed point
Citation
Applied Mathematical Sciences, 7(98), 4891 - 4898