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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/11/10/545 |
| _version_ | 1827651664445702144 |
|---|---|
| author | Professer Vogani Ndlovu Lateef Olakunle Jolaoso Maggie Aphane Safeer Hussein Khan |
| author_facet | Professer Vogani Ndlovu Lateef Olakunle Jolaoso Maggie Aphane Safeer Hussein Khan |
| author_sort | Professer Vogani Ndlovu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T20:42:47Z |
| format | Article |
| id | doaj.art-7002e58e9708460ba4a5cf17c74ddaa9 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T20:42:47Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-7002e58e9708460ba4a5cf17c74ddaa92023-11-23T22:54:06ZengMDPI AGAxioms2075-16802022-10-01111054510.3390/axioms11100545Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) SpacesProfesser Vogani Ndlovu0Lateef Olakunle Jolaoso1Maggie Aphane2Safeer Hussein Khan3Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South AfricaDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South AfricaDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South AfricaAbdus Salam School of Mathematical Sciences, GC University, Lahore 54000, PakistanIn 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.https://www.mdpi.com/2075-1680/11/10/545monotone operatorsquasi pseudocontractionresolvent mappingsCAT(0) spacesfixed-point problems |
| spellingShingle | Professer Vogani Ndlovu Lateef Olakunle Jolaoso Maggie Aphane Safeer Hussein Khan Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces Axioms monotone operators quasi pseudocontraction resolvent mappings CAT(0) spaces fixed-point problems |
| title | Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces |
| title_full | Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces |
| title_fullStr | Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces |
| title_full_unstemmed | Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces |
| title_short | Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces |
| title_sort | approximating a common solution of monotone inclusion problems and fixed point of quasi pseudocontractive mappings in cat 0 spaces |
| topic | monotone operators quasi pseudocontraction resolvent mappings CAT(0) spaces fixed-point problems |
| url | https://www.mdpi.com/2075-1680/11/10/545 |
| work_keys_str_mv | AT professervoganindlovu approximatingacommonsolutionofmonotoneinclusionproblemsandfixedpointofquasipseudocontractivemappingsincat0spaces AT lateefolakunlejolaoso approximatingacommonsolutionofmonotoneinclusionproblemsandfixedpointofquasipseudocontractivemappingsincat0spaces AT maggieaphane approximatingacommonsolutionofmonotoneinclusionproblemsandfixedpointofquasipseudocontractivemappingsincat0spaces AT safeerhusseinkhan approximatingacommonsolutionofmonotoneinclusionproblemsandfixedpointofquasipseudocontractivemappingsincat0spaces |