COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION
We present the generalized Γ-𝐶_𝐹 -simulation function and establish the common fixed point result for weak (𝜂_𝐹 , 𝑔) q-contraction in complete 𝐺-metric space. The exploration extends to its ramifications on both quasi-metric spaces and metric spaces. The study explores the existence of a solution fo...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2024-09-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15970&lang=en |
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| author | S. V. Puvar R. G. Vyas |
| author_facet | S. V. Puvar R. G. Vyas |
| author_sort | S. V. Puvar |
| collection | DOAJ |
| description | We present the generalized Γ-𝐶_𝐹 -simulation function and establish the common fixed point result for weak (𝜂_𝐹 , 𝑔) q-contraction in complete 𝐺-metric space. The exploration extends to its ramifications on both quasi-metric spaces and metric spaces. The study explores the existence of a solution for a non-linear integral equation as an application of these results. |
| format | Article |
| id | doaj-art-3c35eb1f937b443fae560aad4971747a |
| institution | Kabale University |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-3c35eb1f937b443fae560aad4971747a2025-01-28T10:55:09ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-09-0113 (31)3647810.15393/j3.art.2024.15970COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTIONS. V. Puvar0R. G. Vyas1Department of Mathematics, Faculty of Science The Maharaja Sayajirao University of BarodaDepartment of Mathematics, Faculty of Science The Maharaja Sayajirao University of BarodaWe present the generalized Γ-𝐶_𝐹 -simulation function and establish the common fixed point result for weak (𝜂_𝐹 , 𝑔) q-contraction in complete 𝐺-metric space. The exploration extends to its ramifications on both quasi-metric spaces and metric spaces. The study explores the existence of a solution for a non-linear integral equation as an application of these results.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15970&lang=enγ-𝐶_𝐹 -simulation functions𝐺-metric spacesquasimetric spacesweak contractioncommon fixed point |
| spellingShingle | S. V. Puvar R. G. Vyas COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION Проблемы анализа γ-𝐶_𝐹 -simulation functions 𝐺-metric spaces quasimetric spaces weak contraction common fixed point |
| title | COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION |
| title_full | COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION |
| title_fullStr | COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION |
| title_full_unstemmed | COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION |
| title_short | COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION |
| title_sort | common fixed point in 𝐺 metric spaces via generalized γ 𝐶 𝐹 simulation function |
| topic | γ-𝐶_𝐹 -simulation functions 𝐺-metric spaces quasimetric spaces weak contraction common fixed point |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=15970&lang=en |
| work_keys_str_mv | AT svpuvar commonfixedpointingmetricspacesviageneralizedgcfsimulationfunction AT rgvyas commonfixedpointingmetricspacesviageneralizedgcfsimulationfunction |