Strong Convergence Theorem for Fixed Points of Nearly Uniformly L−Lipschitzian Asymptotically Generalized Φ-Hemicontractive Mappings
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چکیده
Let C be a nonempty convex subset of a real Banach space E in which the normalized duality map is norm-to-norm uniformly continuous on bounded subsets of E. Let T be a nearly uniformly L−Lipschitzian asymptotically generalized Φ-hemicontractive map in the intermediate sense. An iterative process of the Manntype is proved to converge strongly to the unique fixed point of T . Under this setting, our theorem is a significant improvement on the results of Kim et al. (Nonlinear Analysis 71(2009), 2833-2838), Okeke et al. (International Journal of Mathematical Analysis, Vol. 7, 2013, No. 40, 1991-2003), and a host of other results. Mathematics Subject Classification: 47H04, 47H06, 47H15, 47J25
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تاریخ انتشار 2015