Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces
The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered $b$-metric spaces. Our results generalize, exte...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2022-08-01
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| Series: | Cubo |
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| Online Access: | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3107/2206 |
| _version_ | 1827811647037636608 |
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| author | N. Seshagiri Rao K. Kalyani |
| author_facet | N. Seshagiri Rao K. Kalyani |
| author_sort | N. Seshagiri Rao |
| collection | DOAJ |
| description | The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered $b$-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. A few examples are illustrated to support our findings. |
| first_indexed | 2024-03-11T23:07:33Z |
| format | Article |
| id | doaj.art-8b65437cb913468c9c4cda4588dcdb9b |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-03-11T23:07:33Z |
| publishDate | 2022-08-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-8b65437cb913468c9c4cda4588dcdb9b2023-09-21T12:55:28ZengUniversidad de La FronteraCubo0716-77760719-06462022-08-0124234336810.56754/0719-0646.2402.0343Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spacesN. Seshagiri Rao0https://orcid.org/0000-0003-2409-6513K. Kalyani1https://orcid.org/0000-0002-4531-5976Department of Mathematics, School of Applied Science, Vignan‘s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.Department of Mathematics, School of Applied Science, Vignan‘s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered $b$-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. A few examples are illustrated to support our findings.https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3107/2206fixed pointcoupled coincidence pointcoupled common fixed pointpartially ordered b-metric spacecompatiblemixed f-monotone |
| spellingShingle | N. Seshagiri Rao K. Kalyani Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces Cubo fixed point coupled coincidence point coupled common fixed point partially ordered b-metric space compatible mixed f-monotone |
| title | Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces |
| title_full | Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces |
| title_fullStr | Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces |
| title_full_unstemmed | Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces |
| title_short | Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces |
| title_sort | fixed point results of phi psi weak contractions in ordered b metric spaces |
| topic | fixed point coupled coincidence point coupled common fixed point partially ordered b-metric space compatible mixed f-monotone |
| url | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3107/2206 |
| work_keys_str_mv | AT nseshagirirao fixedpointresultsofphipsiweakcontractionsinorderedbmetricspaces AT kkalyani fixedpointresultsofphipsiweakcontractionsinorderedbmetricspaces |