Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations
In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point t...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-10-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/33436 |
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| _version_ | 1850105035101306880 |
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| author | Ishak Altun İlker Gençtürk Ali Erduran |
| author_facet | Ishak Altun İlker Gençtürk Ali Erduran |
| author_sort | Ishak Altun |
| collection | DOAJ |
| description |
In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Prešić-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example.
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| format | Article |
| id | doaj-art-3cfa97b3ff994106bc27b858d994e799 |
| institution | DOAJ |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-3cfa97b3ff994106bc27b858d994e7992025-08-20T02:39:12ZengVilnius University PressNonlinear Analysis1392-51132335-89632023-10-0128610.15388/namc.2023.28.33436Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equationsIshak Altun0https://orcid.org/0000-0002-7967-0554İlker Gençtürk1https://orcid.org/0000-0002-0492-939XAli Erduran2https://orcid.org/0000-0002-6507-134XKirikkale UniversityKirikkale UniversityKirikkale University In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Prešić-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example. https://www.journals.vu.lt/nonlinear-analysis/article/view/33436fixed pointquasimetric spacePreši´ć-type mappingQ-function(p, q)-difference equation |
| spellingShingle | Ishak Altun İlker Gençtürk Ali Erduran Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations Nonlinear Analysis fixed point quasimetric space Preši´ć-type mapping Q-function (p, q)-difference equation |
| title | Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations |
| title_full | Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations |
| title_fullStr | Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations |
| title_full_unstemmed | Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations |
| title_short | Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations |
| title_sort | presic type fixed point results via q distance on quasimetric space and application to p q difference equations |
| topic | fixed point quasimetric space Preši´ć-type mapping Q-function (p, q)-difference equation |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/33436 |
| work_keys_str_mv | AT ishakaltun presictypefixedpointresultsviaqdistanceonquasimetricspaceandapplicationtopqdifferenceequations AT ilkergencturk presictypefixedpointresultsviaqdistanceonquasimetricspaceandapplicationtopqdifferenceequations AT alierduran presictypefixedpointresultsviaqdistanceonquasimetricspaceandapplicationtopqdifferenceequations |