Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications
We study the sufficient conditions for the existence of a unique common fixed point of generalized αs-ψ-Geraghty contractions in an αs-complete partial b-metric space. We give an example in support of our findings. Our work generalizes many existing results in the literature. As an application of ou...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8368546 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850221873344806912 |
|---|---|
| author | Zhenhua Ma Muhammad Nazam Sami Ullah Khan Xiangling Li |
| author_facet | Zhenhua Ma Muhammad Nazam Sami Ullah Khan Xiangling Li |
| author_sort | Zhenhua Ma |
| collection | DOAJ |
| description | We study the sufficient conditions for the existence of a unique common fixed point of generalized αs-ψ-Geraghty contractions in an αs-complete partial b-metric space. We give an example in support of our findings. Our work generalizes many existing results in the literature. As an application of our findings we demonstrate the existence of the solution of the system of elliptic boundary value problems. |
| format | Article |
| id | doaj-art-7143db80a2594fd8b36f8458ad384a7c |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7143db80a2594fd8b36f8458ad384a7c2025-08-20T02:06:35ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/83685468368546Fixed Point Theorems for Generalized αs-ψ-Contractions with ApplicationsZhenhua Ma0Muhammad Nazam1Sami Ullah Khan2Xiangling Li3Department of Mathematics and Physics, Hebei University of Architecture, Zhangjiakou 075024, ChinaDepartment of Mathematics Allama Iqbal Open University, Islamabad, PakistanDepartment of Mathematics, Gomal University D. I. Khan, 29050, KPK, PakistanDepartment of Mathematics and Physics, Hebei University of Architecture, Zhangjiakou 075024, ChinaWe study the sufficient conditions for the existence of a unique common fixed point of generalized αs-ψ-Geraghty contractions in an αs-complete partial b-metric space. We give an example in support of our findings. Our work generalizes many existing results in the literature. As an application of our findings we demonstrate the existence of the solution of the system of elliptic boundary value problems.http://dx.doi.org/10.1155/2018/8368546 |
| spellingShingle | Zhenhua Ma Muhammad Nazam Sami Ullah Khan Xiangling Li Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications Journal of Function Spaces |
| title | Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications |
| title_full | Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications |
| title_fullStr | Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications |
| title_full_unstemmed | Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications |
| title_short | Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications |
| title_sort | fixed point theorems for generalized αs ψ contractions with applications |
| url | http://dx.doi.org/10.1155/2018/8368546 |
| work_keys_str_mv | AT zhenhuama fixedpointtheoremsforgeneralizedaspscontractionswithapplications AT muhammadnazam fixedpointtheoremsforgeneralizedaspscontractionswithapplications AT samiullahkhan fixedpointtheoremsforgeneralizedaspscontractionswithapplications AT xianglingli fixedpointtheoremsforgeneralizedaspscontractionswithapplications |