Title of article
Fixed point approximation of Picard normal S-iteration process for generalized nonexpansive mappings in hyperbolic spaces
Author/Authors
Imdad، Mohammad نويسنده Department of Mathematics,Aligarh Muslim University,Aligarh Uttar Pradesh,India , , Dashputre، Samir نويسنده Department of Applied Mathematics, Shri Shankaracharya,Shri Shankaracharya Group of Institutions (F.E.T), Shri Shankaracharya Technical Campus,Bhilai,India ,
Issue Information
فصلنامه با شماره پیاپی سال 2016
Pages
8
From page
131
To page
138
Abstract
In this paper, we establish strong and D-convergence theorems for a relatively new iteration process generated by generalized nonexpansive mappings in uniformly convex hyperbolic spaces. The theorems presented in this paper generalizes corresponding theorems for uniformly convex normed spaces of Kadioglu and Yildirim (Approximating fixed points of nonexpansive mappings by faster iteration process, arXiv:1402.6530v1 [math.FA], 2014) and CAT(0)-spaces of Abbas et al. (J Inequal Appl 2014:212, 2014) and many others in this direction.
Keywords
Uniformly convex hyperbolic spaces , Picard normal S-iteration process , Generalized nonexpansive mappings , Strong and D-convergence
Journal title
Mathematical Sciences
Serial Year
2016
Journal title
Mathematical Sciences
Record number
2403069
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