Some novel fixed point theorems in partially ordered metric spaces
Our aim in this communication is to present a new type of contraction and common fixed point results for non-continuous self mappings without using the compatibility and commutative property. Moreover, we have found common fixed point without using the Cauchy’s criterion for convergence. Some illust...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020284/fulltext.html |
| _version_ | 1818919652728766464 |
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| author | Vishal Gupta Gerald Jungck Naveen Mani |
| author_facet | Vishal Gupta Gerald Jungck Naveen Mani |
| author_sort | Vishal Gupta |
| collection | DOAJ |
| description | Our aim in this communication is to present a new type of contraction and common fixed point results for non-continuous self mappings without using the compatibility and commutative property. Moreover, we have found common fixed point without using the Cauchy’s criterion for convergence. Some illustrative examples with graphical representation and remarks are given to justify that the contraction introduced in the main result is new and unique, which will be useful for future researches. |
| first_indexed | 2024-12-20T01:09:16Z |
| format | Article |
| id | doaj.art-6a1bd4f05236434f96e0f421364b02b2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-20T01:09:16Z |
| publishDate | 2020-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6a1bd4f05236434f96e0f421364b02b22022-12-21T19:58:43ZengAIMS PressAIMS Mathematics2473-69882020-06-01554444445210.3934/math.2020284Some novel fixed point theorems in partially ordered metric spacesVishal Gupta0Gerald Jungck1Naveen Mani21 Department of Mathematics, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India2 Department of Mathematics, Bradley University, Peoria- 61625, Illinois, United States3 Department of Mathematics, Sandip University, Nashik, Maharashtra, IndiaOur aim in this communication is to present a new type of contraction and common fixed point results for non-continuous self mappings without using the compatibility and commutative property. Moreover, we have found common fixed point without using the Cauchy’s criterion for convergence. Some illustrative examples with graphical representation and remarks are given to justify that the contraction introduced in the main result is new and unique, which will be useful for future researches.https://www.aimspress.com/article/10.3934/math.2020284/fulltext.htmlfixed pointcontinuitycompatibilitycontractionpartially ordered metric spaces |
| spellingShingle | Vishal Gupta Gerald Jungck Naveen Mani Some novel fixed point theorems in partially ordered metric spaces AIMS Mathematics fixed point continuity compatibility contraction partially ordered metric spaces |
| title | Some novel fixed point theorems in partially ordered metric spaces |
| title_full | Some novel fixed point theorems in partially ordered metric spaces |
| title_fullStr | Some novel fixed point theorems in partially ordered metric spaces |
| title_full_unstemmed | Some novel fixed point theorems in partially ordered metric spaces |
| title_short | Some novel fixed point theorems in partially ordered metric spaces |
| title_sort | some novel fixed point theorems in partially ordered metric spaces |
| topic | fixed point continuity compatibility contraction partially ordered metric spaces |
| url | https://www.aimspress.com/article/10.3934/math.2020284/fulltext.html |
| work_keys_str_mv | AT vishalgupta somenovelfixedpointtheoremsinpartiallyorderedmetricspaces AT geraldjungck somenovelfixedpointtheoremsinpartiallyorderedmetricspaces AT naveenmani somenovelfixedpointtheoremsinpartiallyorderedmetricspaces |