Edge Theoretic Extended Contractions and Their Applications
Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5157708 |
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| _version_ | 1832555078022594560 |
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| author | R. Rajagopalan Ekta Tamrakar Fahad. S. Alshammari H. K. Pathak Reny George |
| author_facet | R. Rajagopalan Ekta Tamrakar Fahad. S. Alshammari H. K. Pathak Reny George |
| author_sort | R. Rajagopalan |
| collection | DOAJ |
| description | Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result. |
| format | Article |
| id | doaj-art-d7e2cbd74f3e438a8d8163aafbc9c661 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d7e2cbd74f3e438a8d8163aafbc9c6612025-02-03T05:49:40ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5157708Edge Theoretic Extended Contractions and Their ApplicationsR. Rajagopalan0Ekta Tamrakar1Fahad. S. Alshammari2H. K. Pathak3Reny George4Department of MathematicsSchool of Studies in MathematicsDepartment of MathematicsSchool of Studies in MathematicsDepartment of MathematicsEdge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.http://dx.doi.org/10.1155/2021/5157708 |
| spellingShingle | R. Rajagopalan Ekta Tamrakar Fahad. S. Alshammari H. K. Pathak Reny George Edge Theoretic Extended Contractions and Their Applications Journal of Function Spaces |
| title | Edge Theoretic Extended Contractions and Their Applications |
| title_full | Edge Theoretic Extended Contractions and Their Applications |
| title_fullStr | Edge Theoretic Extended Contractions and Their Applications |
| title_full_unstemmed | Edge Theoretic Extended Contractions and Their Applications |
| title_short | Edge Theoretic Extended Contractions and Their Applications |
| title_sort | edge theoretic extended contractions and their applications |
| url | http://dx.doi.org/10.1155/2021/5157708 |
| work_keys_str_mv | AT rrajagopalan edgetheoreticextendedcontractionsandtheirapplications AT ektatamrakar edgetheoreticextendedcontractionsandtheirapplications AT fahadsalshammari edgetheoreticextendedcontractionsandtheirapplications AT hkpathak edgetheoreticextendedcontractionsandtheirapplications AT renygeorge edgetheoreticextendedcontractionsandtheirapplications |