Approximation results for generalized (α, β)-nonexpansive type 1 mapping in hyperbolic metric spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, Babu Pandhri Rao Kridatt Govt. College Silouti, Dhamtari

2 Principal, Govt. Nagarjuna P.G. College of Science, Raipur

Abstract

The aim of this paper is to modify the Thakur iteration process into hyperbolic metric space where the symmetry condition is satisfied and establish the weak w2-stability and data dependency results for contraction mappings. Next, we establish Δ-convergence and strong convergence theorems for generalized (α, β)-nonexpansive type 1 mappings. We give an example of generalized (α, β)-nonexpansive type 1 mapping which is not nonexpansive mapping.

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Main Subjects


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