On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

Authors : Nazlı Kadioğlu Karaca

Pages : 223-228

Doi:10.51354/mjen.1361003

View : 47 | Download : 55

Publication Date : 2023-12-25

Article Type : Research Paper

Abstract :In this paper, we introduce the definition of a new class of generalized nonexpansive mappings in hyperbolic space. Additionally, we construct the rewritten version of the Mann iteration process in hyperbolic space. Then, using the iterative procedure we established, we prove convergence theorems for ????−????−generalized nonexpansive mappings in a uniformly convex hyperbolic space. Lastly, we offer a numerical example to illustrate our findings.
Keywords : Fixed point, generalized nonexpansive mappings, uniformly convex hyperbolic space