Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces
In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping in the setting of partially ordered hyperbolic spaces. Indeed, we present some convergence results for the SPK iterative algorithm applied to monotone generalized $\...
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University of Maragheh
2025-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_715191_cdaa9799aeba0a8d2d7e635de3ddb573.pdf |
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| author | Samir Dashputre Kavita Sakure |
| author_facet | Samir Dashputre Kavita Sakure |
| author_sort | Samir Dashputre |
| collection | DOAJ |
| description | In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping in the setting of partially ordered hyperbolic spaces. Indeed, we present some convergence results for the SPK iterative algorithm applied to monotone generalized $\alpha$-nonexpansive mapping. Moreover, we provide an application of our results to nonlinear integral equations. |
| format | Article |
| id | doaj-art-a710ca535e404ebea542f4625c2f23a2 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
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| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-a710ca535e404ebea542f4625c2f23a22025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-01221395710.22130/scma.2024.2009035.1426715191Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric SpacesSamir Dashputre0Kavita Sakure1Department of Mathematics, Govt. College, Arjunda, Balod, Chhattisgarh, India.Department of Mathematics, Govt. Digvijay Auto. P.G. College, Rajnandgaon, Chhattisgarh, India.In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping in the setting of partially ordered hyperbolic spaces. Indeed, we present some convergence results for the SPK iterative algorithm applied to monotone generalized $\alpha$-nonexpansive mapping. Moreover, we provide an application of our results to nonlinear integral equations.https://scma.maragheh.ac.ir/article_715191_cdaa9799aeba0a8d2d7e635de3ddb573.pdfpartial ordered hyperbolic spacesmonotone nonexpansive mappingsspk iterative algorithm$delta$-convergence |
| spellingShingle | Samir Dashputre Kavita Sakure Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces Sahand Communications in Mathematical Analysis partial ordered hyperbolic spaces monotone nonexpansive mappings spk iterative algorithm $delta$-convergence |
| title | Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces |
| title_full | Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces |
| title_fullStr | Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces |
| title_full_unstemmed | Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces |
| title_short | Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces |
| title_sort | convergence of monotone generalized alpha nonexpansive mappings in ordered hyperbolic metric spaces |
| topic | partial ordered hyperbolic spaces monotone nonexpansive mappings spk iterative algorithm $delta$-convergence |
| url | https://scma.maragheh.ac.ir/article_715191_cdaa9799aeba0a8d2d7e635de3ddb573.pdf |
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