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Mathematica Moravica
2015, vol. 19, br. 1, str. 19-31
Convergence of modified S-iteration process for two generalized asymptotically quasi-nonexpansive mappings in CAT(0) spaces
(naslov ne postoji na srpskom)
Saluja Singh Gurucharan
Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur, India

e-adresa: saluja1963@gmail.com
Ključne reči: generalized asymptotically quasi-nonexpansive mapping; strong convergence; modified S-iteration process; common fixed point; CAT(0) space
Sažetak
(ne postoji na srpskom)
In this paper, we give the sufficient condition of newly defined modified S-iteration process to converge to common fixed point for two generalized asymptotically quasi-nonexpansive mappings in the framework of CAT(0) spaces. Also we establish some strong convergence theorems of the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature.
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