Convergence, data dependence and T-stability of AK iteration procedure for contractive like operators

G. V. R. Babu; G. Satyanarayana

doi:10.26637/MJM0702/0023

Abstract

In this paper, we prove the strong convergence of AK iteration procedure to a fixed point of a contractive like operator defined on an arbitrary nonempty closed convex subset of a normed linear space. Further, we study data dependence and T -stability of this procedure. Our results generalize the results that are available in the existing literature.

Keywords:

Fixed point, contractive like operator, AK iteration procedure, Data dependence and T−stability

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

G. V. R. Babu Department of Mathematics, Andhra University, Visakhapatnam-530 003, India.
G. Satyanarayana Department of Mathematics, Dr. Lankapalli Bullayya college, Visakhapatnam-530 013, India.

Pages: 298-303
Date Published: 01-04-2019
Vol. 7 No. 02 (2019): Malaya Journal of Matematik (MJM)

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