On dominated multivalued operators involving nonlinear contractions and applications
The objective of this research is to establish new results for set-valued dominated mappings that meet the criteria of advanced locally contractions in a complete extended b-metric space. Additionally, we intend to establish new fixed point outcomes for a couple of dominated multi-functions on a clo...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024001?viewType=HTML |
| _version_ | 1797394899901874176 |
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| author | Tahair Rasham Najma Noor Muhammad Safeer Ravi Prakash Agarwal Hassen Aydi Manuel De La Sen |
| author_facet | Tahair Rasham Najma Noor Muhammad Safeer Ravi Prakash Agarwal Hassen Aydi Manuel De La Sen |
| author_sort | Tahair Rasham |
| collection | DOAJ |
| description | The objective of this research is to establish new results for set-valued dominated mappings that meet the criteria of advanced locally contractions in a complete extended b-metric space. Additionally, we intend to establish new fixed point outcomes for a couple of dominated multi-functions on a closed ball that satisfy generalized local contractions. In this study, we present novel findings for dominated maps in an ordered complete extended b-metric space. Additionally, we introduce a new concept of multi-graph dominated mappings on a closed ball within these spaces and demonstrate some original results for graphic contractions equipped with a graphic structure. To demonstrate the uniqueness of our new discoveries, we verify their applicability in obtaining a joint solution of integral and functional equations. Our findings have also led to modifications of numerous classical and contemporary results in existing research literature. |
| first_indexed | 2024-03-09T00:26:27Z |
| format | Article |
| id | doaj.art-904766566e5b4f16a4a23b37bae82022 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-09T00:26:27Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-904766566e5b4f16a4a23b37bae820222023-12-12T01:21:18ZengAIMS PressAIMS Mathematics2473-69882024-01-019112110.3934/math.2024001On dominated multivalued operators involving nonlinear contractions and applicationsTahair Rasham0Najma Noor1Muhammad Safeer2Ravi Prakash Agarwal 3Hassen Aydi4Manuel De La Sen 51. Department of Mathematics, University of Poonch Rawalakot, Azad Kashmir, Pakistan1. Department of Mathematics, University of Poonch Rawalakot, Azad Kashmir, Pakistan1. Department of Mathematics, University of Poonch Rawalakot, Azad Kashmir, Pakistan2. Department of Mathematics Texas A& M University-Kingsville 700 University Blvd., MSC 172 Kingsville, Texas 78363-8202 USA3. Universit'e de Sousse, Institut Superieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia 4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa6. Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, PO Box 48940, Leioa, Bizkaia 48940, SpainThe objective of this research is to establish new results for set-valued dominated mappings that meet the criteria of advanced locally contractions in a complete extended b-metric space. Additionally, we intend to establish new fixed point outcomes for a couple of dominated multi-functions on a closed ball that satisfy generalized local contractions. In this study, we present novel findings for dominated maps in an ordered complete extended b-metric space. Additionally, we introduce a new concept of multi-graph dominated mappings on a closed ball within these spaces and demonstrate some original results for graphic contractions equipped with a graphic structure. To demonstrate the uniqueness of our new discoveries, we verify their applicability in obtaining a joint solution of integral and functional equations. Our findings have also led to modifications of numerous classical and contemporary results in existing research literature.https://www.aimspress.com/article/doi/10.3934/math.2024001?viewType=HTMLfixed pointadvanced locally contractionordered extended b-metric spacedominated multi-functionsgraph theoryintegral equationfunctional equation |
| spellingShingle | Tahair Rasham Najma Noor Muhammad Safeer Ravi Prakash Agarwal Hassen Aydi Manuel De La Sen On dominated multivalued operators involving nonlinear contractions and applications AIMS Mathematics fixed point advanced locally contraction ordered extended b-metric space dominated multi-functions graph theory integral equation functional equation |
| title | On dominated multivalued operators involving nonlinear contractions and applications |
| title_full | On dominated multivalued operators involving nonlinear contractions and applications |
| title_fullStr | On dominated multivalued operators involving nonlinear contractions and applications |
| title_full_unstemmed | On dominated multivalued operators involving nonlinear contractions and applications |
| title_short | On dominated multivalued operators involving nonlinear contractions and applications |
| title_sort | on dominated multivalued operators involving nonlinear contractions and applications |
| topic | fixed point advanced locally contraction ordered extended b-metric space dominated multi-functions graph theory integral equation functional equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024001?viewType=HTML |
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