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Research Article Open access CC BY 4.0

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.

Cited by 3

Inertial hybrid algorithm for generalized mixed equilibrium problems, zero problems, and fixed points of some nonlinear mappings in the intermediate sense

Abdulwahab Ahmad, Poom Kumam, Murtala Haruna Harbau · Mathematical Methods in the Applied Sciences · 2024

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