Approximation of common fixed point of two asymptotically nonexpansive mappings in the intermediate sense for a new iteration process in CAT(0) spaces

Anurag Verma; B.P. Tripathi

doi:10.56947/amcs.v24.341

Authors

Anurag Verma Department of Mathematics, Govt. N. PG. College of Science, India
B.P. Tripathi Department of Mathematics, Govt. N. PG. College of Science, India

DOI:

https://doi.org/10.56947/amcs.v24.341

Keywords:

CAT(0) space, asymptotically nonexpansive mapping in the intermediate sense, ∆−convergence, strong convergence, iteration process, fixed point, common fixed point

Abstract

In this paper, we establish strong and ∆−convergence for a new iteration process containing two asymptotically nonexpansive mappings in the intermediate sense which is broader than the class of asymptotically nonexpansive mappings in the context of CAT(0) spaces. Our results extend, generalize, and improve many well-known results in the literature.