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Far East Journal of Mathematical Sciences (FJMS)

Far East Journal of Mathematical Sciences (FJMS)
Volume 109, Issue 1, Pages 25 - 35 (December 2018)
http://dx.doi.org/10.17654/MS109010025

STRONG CONVERGENCE FOR BEST PROXIMITY PAIRS OF ASYMPTOTICALLY RELATIVELY NONEXPANSIVE MAPPINGS

S. Ithaya Ezhil Manna and A. Anthony Eldred

Abstract:

Let A and B be nonempty subsets of a normed linear space X. A mapping satisfying and is said to possess a best proximity pair if there exists a point such that and In this paper, we establish strong convergence for modified Ishikawa iteration of asymptotically relatively nonexpansive mappings.

Keywords and phrases:

best proximity pair, uniformly convex Banach space, asymptotically relatively non-expansive mapping, modified Ishikawa iteration.

Number of Downloads: 437 | Number of Views: 2533

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P-ISSN: 0972-0871

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