Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space
In this paper, we define enriched Bγ,µ mapping in CAT(0) space and derive some fixed point results for such mapping with the help of averaged mapping. Our results extend some existing results. A new iterative algorithm is developed in CAT(0) space to approximate the fixed point of enriched Bγ,µ map...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2025-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/828 |
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| author | N. Goswami D.D. Pathak |
| author_facet | N. Goswami D.D. Pathak |
| author_sort | N. Goswami |
| collection | DOAJ |
| description |
In this paper, we define enriched Bγ,µ mapping in CAT(0) space and derive some fixed point results for such mapping with the help of averaged mapping. Our results extend some existing results. A new iterative algorithm is developed in CAT(0) space to approximate the fixed point of enriched Bγ,µ mapping. ∆-convergence and strong convergence of this iterative algorithm for enriched Bγ,µ mapping is proved.
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| format | Article |
| id | doaj-art-e8a3b8a857774bcfadad8f5d3bf322c6 |
| institution | Kabale University |
| issn | 2518-7929 2663-5011 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj-art-e8a3b8a857774bcfadad8f5d3bf322c62025-08-20T03:27:33ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112025-06-01118210.31489/2025m2/60-75Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) spaceN. Goswami0https://orcid.org/0000-0002-0006-9513D.D. Pathak1https://orcid.org/0009-0001-1010-3068Gauhati University, Guwahati, IndiaAbhayapuri College, Abhayapuri, India In this paper, we define enriched Bγ,µ mapping in CAT(0) space and derive some fixed point results for such mapping with the help of averaged mapping. Our results extend some existing results. A new iterative algorithm is developed in CAT(0) space to approximate the fixed point of enriched Bγ,µ mapping. ∆-convergence and strong convergence of this iterative algorithm for enriched Bγ,µ mapping is proved. https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/828CAT(0) spaceBγ,µ mappingaveraged mappingfixed point |
| spellingShingle | N. Goswami D.D. Pathak Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space Қарағанды университетінің хабаршысы. Математика сериясы CAT(0) space Bγ,µ mapping averaged mapping fixed point |
| title | Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space |
| title_full | Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space |
| title_fullStr | Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space |
| title_full_unstemmed | Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space |
| title_short | Approximation of fixed points for enriched Bγ,µ mapping using a new iterative algorithm in CAT(0) space |
| title_sort | approximation of fixed points for enriched bγ µ mapping using a new iterative algorithm in cat 0 space |
| topic | CAT(0) space Bγ,µ mapping averaged mapping fixed point |
| url | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/828 |
| work_keys_str_mv | AT ngoswami approximationoffixedpointsforenrichedbgmmappingusinganewiterativealgorithmincat0space AT ddpathak approximationoffixedpointsforenrichedbgmmappingusinganewiterativealgorithmincat0space |