A convergence theorem of common fixed   points   of a countably infinite family of asymptotically quasi-$f_i$-expansive mappings  in convex metric spaces

Byung-Soo  Lee

doi:10.3934/naco.2013.3.557

Article Contents

2013, Volume 3, Issue 3: 557-565. Doi: 10.3934/naco.2013.3.557

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A convergence theorem of common fixed points of a countably infinite family of asymptotically quasi-$f_i$-expansive mappings in convex metric spaces

Byung-Soo Lee^1,

1.
Department of Mathematics, Kyungsung University, Busan 608-736

Received: July 2012

Revised: April 2013

Published: July 2013

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we introduce a countably infinite iterative scheme and consider a sufficient and necessary condition for the existence of common fixed points of a countably infinite family of asymptotically quasi-$f_i$-expansive mappings in convex metric spaces.

Keywords:

Asymptotically $f$-expansive mapping,
asymptotically quasi-$f$-expansive mapping,
common fixed point,
convex metric spaces,
iterative scheme.

Mathematics Subject Classification: 47H10, 47H17, 49J40.

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References

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