Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space
This manuscript introduces and investigates various types of mappings in the context of a $C^*$-algebra valued metric space. These include conditionally compatible, non-compatible, and faintly compatible mappings. Additionally, the manuscript establishes fixed-point results for certain combinations...
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| Format: | Article |
| Language: | English |
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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_717366_f53ea3e3f639b23f3c5f8f037a3e4f4a.pdf |
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| _version_ | 1823859346053791744 |
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| author | Rishi Dhariwal Deepak Kumar |
| author_facet | Rishi Dhariwal Deepak Kumar |
| author_sort | Rishi Dhariwal |
| collection | DOAJ |
| description | This manuscript introduces and investigates various types of mappings in the context of a $C^*$-algebra valued metric space. These include conditionally compatible, non-compatible, and faintly compatible mappings. Additionally, the manuscript establishes fixed-point results for certain combinations of these mappings. Specifically, it considers pairs of self-mappings that satisfy either a $(\phi-\psi)$-Kannan-type or Chatterjea-type contractive condition and proves common fixed point theorems for faintly compatible continuous or reciprocal continuous along with non-compatible pairs of such mappings. Also, non-compatibility is relaxed by using the $E.A.$ property and faintly compatible continuous property or reciprocal continuous property for pairs of self-mappings. To demonstrate the practicality of these results, the manuscript includes examples that illustrate their usefulness. |
| format | Article |
| id | doaj-art-aa965b61a0d04c62b545e22fda92c3c0 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-aa965b61a0d04c62b545e22fda92c3c02025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-0122110912410.22130/scma.2024.2024549.1655717366Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric SpaceRishi Dhariwal0Deepak Kumar1Department of Mathematics, Lovely Professional University, Phagwara, 144411, Punjab, India.Department of Mathematics, Lovely Professional University, Phagwara, 144411, Punjab, India.This manuscript introduces and investigates various types of mappings in the context of a $C^*$-algebra valued metric space. These include conditionally compatible, non-compatible, and faintly compatible mappings. Additionally, the manuscript establishes fixed-point results for certain combinations of these mappings. Specifically, it considers pairs of self-mappings that satisfy either a $(\phi-\psi)$-Kannan-type or Chatterjea-type contractive condition and proves common fixed point theorems for faintly compatible continuous or reciprocal continuous along with non-compatible pairs of such mappings. Also, non-compatibility is relaxed by using the $E.A.$ property and faintly compatible continuous property or reciprocal continuous property for pairs of self-mappings. To demonstrate the practicality of these results, the manuscript includes examples that illustrate their usefulness.https://scma.maragheh.ac.ir/article_717366_f53ea3e3f639b23f3c5f8f037a3e4f4a.pdfc*-algebra valued metric spacecommon fixed pointse.a. propertyfaintly compatiblenon-compatible |
| spellingShingle | Rishi Dhariwal Deepak Kumar Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space Sahand Communications in Mathematical Analysis c*-algebra valued metric space common fixed points e.a. property faintly compatible non-compatible |
| title | Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space |
| title_full | Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space |
| title_fullStr | Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space |
| title_full_unstemmed | Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space |
| title_short | Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space |
| title_sort | conditionally compatible mappings non compatible mappings faintly compatible mappings and some results on common fixed point in c algebra valued metric space |
| topic | c*-algebra valued metric space common fixed points e.a. property faintly compatible non-compatible |
| url | https://scma.maragheh.ac.ir/article_717366_f53ea3e3f639b23f3c5f8f037a3e4f4a.pdf |
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