Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces





Reich-Suzuki type nonexpansive mapping, hyperbolic metric space, iteration process, nonexpansive mapping


We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mappingss in hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative non-trivial examples have also been discussed.


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Author Biographies

Rajendra Pant, University of Johannesburg

Associate Professor,Department of Pure and Applied Mathematics

Rameshwa Pandey, Visvesvaraya National Institute of Technology

Department of Mathematics


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How to Cite

R. Pant and R. Pandey, “Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces”, Appl. Gen. Topol., vol. 20, no. 1, pp. 281–295, Apr. 2019.



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