Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations
A wide range of new research articles in artificial intelligence, logic programming, and other applied sciences are based on fixed-point theorems. The aim of this article is to present an approximation method for finding the fixed point of generalized Suzuki nonexpansive mappings on hyperbolic space...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/3/271 |
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| author | Asifa Tassaddiq Shazia Kanwal Farha Lakhani Rekha Srivastava |
| author_facet | Asifa Tassaddiq Shazia Kanwal Farha Lakhani Rekha Srivastava |
| author_sort | Asifa Tassaddiq |
| collection | DOAJ |
| description | A wide range of new research articles in artificial intelligence, logic programming, and other applied sciences are based on fixed-point theorems. The aim of this article is to present an approximation method for finding the fixed point of generalized Suzuki nonexpansive mappings on hyperbolic spaces. Strong and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-convergence theorems are proved using the Noor iterative process for generalized Suzuki nonexpansive mappings (GSNM) on uniform convex hyperbolic spaces. Due to the richness of uniform convex hyperbolic spaces, the results of this paper can be used as an extension and generalization of many famous results in Banach spaces together with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>A</mi><mi>T</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> spaces. |
| first_indexed | 2024-03-11T06:56:58Z |
| format | Article |
| id | doaj.art-f08ffb5c099a4ca1a92be2999d71ee84 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T06:56:58Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-f08ffb5c099a4ca1a92be2999d71ee842023-11-17T09:35:10ZengMDPI AGAxioms2075-16802023-03-0112327110.3390/axioms12030271Strong and Δ-Convergence Fixed-Point Theorems Using Noor IterationsAsifa Tassaddiq0Shazia Kanwal1Farha Lakhani2Rekha Srivastava3Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi ArabiaDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanSchool of Computing, University of Leeds, Leeds LS2 9JT, UKDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8P 5C2, CanadaA wide range of new research articles in artificial intelligence, logic programming, and other applied sciences are based on fixed-point theorems. The aim of this article is to present an approximation method for finding the fixed point of generalized Suzuki nonexpansive mappings on hyperbolic spaces. Strong and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-convergence theorems are proved using the Noor iterative process for generalized Suzuki nonexpansive mappings (GSNM) on uniform convex hyperbolic spaces. Due to the richness of uniform convex hyperbolic spaces, the results of this paper can be used as an extension and generalization of many famous results in Banach spaces together with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>A</mi><mi>T</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> spaces.https://www.mdpi.com/2075-1680/12/3/271mappingsconvergencehyperbolic spacesiteration process |
| spellingShingle | Asifa Tassaddiq Shazia Kanwal Farha Lakhani Rekha Srivastava Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations Axioms mappings convergence hyperbolic spaces iteration process |
| title | Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations |
| title_full | Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations |
| title_fullStr | Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations |
| title_full_unstemmed | Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations |
| title_short | Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations |
| title_sort | strong and δ convergence fixed point theorems using noor iterations |
| topic | mappings convergence hyperbolic spaces iteration process |
| url | https://www.mdpi.com/2075-1680/12/3/271 |
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