TY - JOUR
T1 - Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces
AU - Ndlovu, Professer Vogani
AU - Jolaoso, Lateef Olakunle
AU - Aphane, Maggie
AU - Khan, Safeer Hussein
N1 - Publisher Copyright:
© 2022 by the authors.
PY - 2022/10
Y1 - 2022/10
N2 - In this paper, we aimed to introduce a new viscosity-type approximation method for finding the common fixed point of a class of quasi-pseudocontractive mapping and a system of monotone inclusion problems in CAT(0) spaces. We proved some fixed-point properties concerning the class of quasi-pseudocontractive mapping in CAT(0) spaces, which is more general than many other mappings such as nonexpansive, quasi-nonexpansive, pseudocontractive and demicontractive mappings which have been studied by other authors. A strong convergence result is proved under some mild conditions on the control sequences and some numerical examples were presented to illustrate the performance and efficiency of the proposed method.
AB - In this paper, we aimed to introduce a new viscosity-type approximation method for finding the common fixed point of a class of quasi-pseudocontractive mapping and a system of monotone inclusion problems in CAT(0) spaces. We proved some fixed-point properties concerning the class of quasi-pseudocontractive mapping in CAT(0) spaces, which is more general than many other mappings such as nonexpansive, quasi-nonexpansive, pseudocontractive and demicontractive mappings which have been studied by other authors. A strong convergence result is proved under some mild conditions on the control sequences and some numerical examples were presented to illustrate the performance and efficiency of the proposed method.
KW - CAT(0) spaces
KW - fixed-point problems
KW - monotone operators
KW - quasi pseudocontraction
KW - resolvent mappings
UR - http://www.scopus.com/inward/record.url?scp=85140360263&partnerID=8YFLogxK
U2 - 10.3390/axioms11100545
DO - 10.3390/axioms11100545
M3 - Article
AN - SCOPUS:85140360263
SN - 2075-1680
VL - 11
JO - Axioms
JF - Axioms
IS - 10
M1 - 545
ER -