Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings
This paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S). The main results are to establish an existence theorem of a sunny n...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-07-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://journals.vu.lt./nonlinear-analysis/article/view/35559 |
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| _version_ | 1849419394213478400 |
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| author | Ebrahim Soori Ravi P. Agarwal Donal O'Regan |
| author_facet | Ebrahim Soori Ravi P. Agarwal Donal O'Regan |
| author_sort | Ebrahim Soori |
| collection | DOAJ |
| description |
This paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S). The main results are to establish an existence theorem of a sunny nonexpansive retraction and to create an algorithm for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces.
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| format | Article |
| id | doaj-art-65ba79c4629a4d2b8836ba67d8ac460f |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-65ba79c4629a4d2b8836ba67d8ac460f2025-08-20T03:32:07ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-07-0129510.15388/namc.2024.29.35559Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappingsEbrahim Soori0Ravi P. Agarwal1Donal O'Regan2Lorestan UniversityFlorida Institute of TechnologyUniversity of Galway This paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S). The main results are to establish an existence theorem of a sunny nonexpansive retraction and to create an algorithm for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces. https://journals.vu.lt./nonlinear-analysis/article/view/35559Opial’s conditionsunny nonexpansive retractionrepresentation of nonexpansive mappings |
| spellingShingle | Ebrahim Soori Ravi P. Agarwal Donal O'Regan Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings Nonlinear Analysis Opial’s condition sunny nonexpansive retraction representation of nonexpansive mappings |
| title | Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings |
| title_full | Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings |
| title_fullStr | Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings |
| title_full_unstemmed | Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings |
| title_short | Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings |
| title_sort | existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings |
| topic | Opial’s condition sunny nonexpansive retraction representation of nonexpansive mappings |
| url | https://journals.vu.lt./nonlinear-analysis/article/view/35559 |
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