Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations]
This paper explores the concept of α-ψ-ϕ contractive mappings, contributing to the advancement of self-map extensions and fixed-point theorems within b-metric spaces. We introduce a new class of contractive mappings and demonstrate how they extend traditional contraction principles, offering a broa...
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| Format: | Article |
| Language: | English |
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F1000 Research Ltd
2024-12-01
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| Series: | F1000Research |
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| Online Access: | https://f1000research.com/articles/13-566/v2 |
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| author | Maysoon Qousini Berhanu Seboka Fikadu Tesgera Tolasa Gudeta Hanchalu Nasir Ali Tamene Raji |
| author_facet | Maysoon Qousini Berhanu Seboka Fikadu Tesgera Tolasa Gudeta Hanchalu Nasir Ali Tamene Raji |
| author_sort | Maysoon Qousini |
| collection | DOAJ |
| description | This paper explores the concept of α-ψ-ϕ contractive mappings, contributing to the advancement of self-map extensions and fixed-point theorems within b-metric spaces. We introduce a new class of contractive mappings and demonstrate how they extend traditional contraction principles, offering a broader framework for analyzing fixed points in non-standard spaces. The main result of this study is a generalization of existing fixed-point theorems, supported by comprehensive corollaries, illustrative examples, and rigorous proofs. These findings provide deeper insights into the structure of b-metric spaces and open avenues for further applications in fields such as optimization and machine learning. |
| format | Article |
| id | doaj-art-71a9649e64cc47d3820f54ac1390e005 |
| institution | Kabale University |
| issn | 2046-1402 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | F1000 Research Ltd |
| record_format | Article |
| series | F1000Research |
| spelling | doaj-art-71a9649e64cc47d3820f54ac1390e0052025-01-25T01:00:02ZengF1000 Research LtdF1000Research2046-14022024-12-0113173442Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations]Maysoon Qousini0Berhanu Seboka1https://orcid.org/0009-0009-1690-4163Fikadu Tesgera Tolasa2https://orcid.org/0000-0003-0742-6779Gudeta Hanchalu3Nasir Ali4https://orcid.org/0000-0003-4116-9673Tamene Raji5Faculty of Science and Information, Al-Zaytoonah University of Jordan, Amman, 11183, JordanMathematics, Ambo University, Ambo, Oromia, EthiopiaDambi Dollo University, Dembi Dolo, Oromia, EthiopiaDambi Dollo University, Dembi Dolo, Oromia, EthiopiaMathematics, COMSATS University Islamabad, Vehari Campus, Vehari, 61100, PakistanMathematics, Dambi Dollo University, Dembi Dolo, Oromia, EthiopiaThis paper explores the concept of α-ψ-ϕ contractive mappings, contributing to the advancement of self-map extensions and fixed-point theorems within b-metric spaces. We introduce a new class of contractive mappings and demonstrate how they extend traditional contraction principles, offering a broader framework for analyzing fixed points in non-standard spaces. The main result of this study is a generalization of existing fixed-point theorems, supported by comprehensive corollaries, illustrative examples, and rigorous proofs. These findings provide deeper insights into the structure of b-metric spaces and open avenues for further applications in fields such as optimization and machine learning.https://f1000research.com/articles/13-566/v2complete b-metric space Altering distance function α-admissible mapingeng |
| spellingShingle | Maysoon Qousini Berhanu Seboka Fikadu Tesgera Tolasa Gudeta Hanchalu Nasir Ali Tamene Raji Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] F1000Research complete b-metric space Altering distance function α-admissible maping eng |
| title | Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] |
| title_full | Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] |
| title_fullStr | Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] |
| title_full_unstemmed | Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] |
| title_short | Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations] |
| title_sort | exploring α ψ ϕ contractive mapping novel fixed point theorems in complete b metric spaces version 2 peer review 2 approved 1 approved with reservations |
| topic | complete b-metric space Altering distance function α-admissible maping eng |
| url | https://f1000research.com/articles/13-566/v2 |
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