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CONVERGENCE THEOREMS ON ASYMPTOTICALLY GENERALIZED Phi-PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE

Abstract

In this study, we introduce the class of asymptotically generalized Phi-pseudocontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes the results of Kim et al. [J. K. Kim, D. R. Sahu, Y. M. Nam, Convergence theorem for fixed points of nearly LLipschitzian mappings, Nonlinear Analysis 71 (2009) 28332838] and several others

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