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Asian Research Journal of Mathematics

Asian Research Journal of Mathematics, 2456-477X,Vol.: 6, Issue.: 4

 

Original-research-article

 

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

 

 

A. S. Oke1* and D. J. Kayode1
1Department of Mathematical Sciences, Faculty of Science, Adekunle Ajasin University Akungba Akoko, Ondo State, Nigeria.

 

Abstracts

 

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.

 

Keywords :

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

 

Full Article - PDF    Page 1-7    Article Metrics

 

DOI : 10.9734/ARJOM/2017/36218

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