Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces

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-pseudocont...

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Bibliographic Details
Published in:Axioms 2022-10, Vol.11 (10), p.545
Main Authors: Ndlovu, Professer Vogani, Jolaoso, Lateef Olakunle, Aphane, Maggie, Khan, Safeer Hussein
Format: Article
Language:English
Subjects:
Airway systems
Algorithms
Approximation
CAT spaces
Fixed point theory
fixed-point problems
Hilbert space
Iterative methods
Mapping
Mappings (Mathematics)
Mathematical research
monotone operators
Monotonic functions
Optimization
quasi pseudocontraction
resolvent mappings
Viscosity
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11100545