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Some Theorems on Fixed Points Set of Asymptotically Demicontractive Mappings in the Intermediate Sense

A. S. Oke, D. J. Kayode

Asian Research Journal of Mathematics · pp. 1–7 · Published 10 Oct 2017

10.9734/ARJOM/2017/36218

Abstract

In this paper, we establish the closedness and convexity of the fixed point set of asymptotically demicontractive mappings in the intermediate sense introduced by Olaleru and Okeke [Convergence theorems on asymptotically demicontractive and hemi-contractive mappings in the intermediate sense. Fixed Point Theory and Applications 2013, 2013:352]. We also establish the equality of the fixed point set and asymptotic fixed point set.

Convex sets demiclosed demicontractive mappings in the intermediate sense fixed point set asymptotic fixed point set.

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