{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:27:35Z","timestamp":1771673255176,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,16]],"date-time":"2022-11-16T00:00:00Z","timestamp":1668556800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize \u03b1,\u03b2-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.<\/jats:p>","DOI":"10.3390\/sym14112429","type":"journal-article","created":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T03:26:04Z","timestamp":1668655564000},"page":"2429","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Some New Results for (\u03b1, \u03b2)-Admissible Mappings in F-Metric Spaces with Applications to Integral Equations"],"prefix":"10.3390","volume":"14","author":[{"given":"Hamid","family":"Faraji","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Technical and Engineering, Saveh Branch, Islamic Azad University, Saveh 3149968111, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3057-9784","authenticated-orcid":false,"given":"Nikola","family":"Mirkov","sequence":"additional","affiliation":[{"name":"\u201cVin\u010da\u201d Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovi\u0107a Alasa 12-14, 11351 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9993-9082","authenticated-orcid":false,"given":"Zoran","family":"Mitrovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9027-0810","authenticated-orcid":false,"given":"Rajagopalan","family":"Ramaswamy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ola","family":"Abdelnaby","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia"},{"name":"Department of Mathematics, Cairo University, Cairo 12613, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stojan","family":"Radenovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133","DOI":"10.4064\/fm-3-1-133-181","article-title":"Sur les operations dans les ensembles abstracts et leur application aux equations integrals","volume":"3","author":"Banach","year":"1922","journal-title":"Fundam. Math."},{"key":"ref_2","first-page":"26","article-title":"The contraction mapping principle in almost metric space","volume":"30","author":"Bakhtin","year":"1989","journal-title":"Funct. Ana. Gos. Ped. Inst. Unianowsk"},{"key":"ref_3","unstructured":"Matthews, S.G. (1992). Partial Metric Topology, Department of Computer Science, University of Warwick. Research Report."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1468","DOI":"10.1016\/j.jmaa.2005.03.087","article-title":"Cone metric spaces and fixed point theorems of contractive mappings","volume":"332","author":"Huang","year":"2007","journal-title":"J. Math. Anal. Appl."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Kirk, W.A., and Shahzad, N. (2014). Fixed Point Theory in Distances Spaces, Springer.","DOI":"10.1007\/978-3-319-10927-5"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1007\/s11784-015-0276-6","article-title":"Nonlinear integral equations with new admissibility types in b-metric spaces","volume":"18","author":"Sintunawarat","year":"2016","journal-title":"J. Fixed Point Theory Appl."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1186\/s13663-017-0608-x","article-title":"Rectangular cone b-metric spaces over Banach algebra and contraction principle","volume":"2017","author":"George","year":"2017","journal-title":"Fixed Point Theory Appl."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"177","DOI":"10.24193\/fpt-ro.2019.1.10","article-title":"A fixed point theorem in uniform spaces generated by a family of b-pseudometrics","volume":"20","author":"Faraji","year":"2019","journal-title":"Fixed Point Theory"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Faraji, H., Savi\u0107, D., and Radenovi\u0107, S. (2019). Fixed point theorems for Geraghty contraction type mappings in b-metric spaces and applications. Axioms, 8.","DOI":"10.3390\/axioms8010034"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11784-018-0606-6","article-title":"On a new generalization of metric spaces","volume":"20","author":"Jleli","year":"2018","journal-title":"J. Fixed Point Theory Appl."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Mitrovi\u0107, Z.D., Aydi, H., Hussain, N., and Mukheimer, A. (2019). Reich, Jungck, and Berinde common fixed point results on F-metric spaces and an application. Mathematics, 7.","DOI":"10.3390\/math7050387"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Gili\u0107, E., Doli\u0107anin-Djeki\u0107, D., Mitrovi\u0107, Z.D., Pu\u010di\u0107, D., and Aydi, H. (2020). On Some Recent Results Concerning F-Suzuki-Contractions in b-Metric Spaces. Mathematics, 8.","DOI":"10.3390\/math8060940"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Vujakovi\u0107, J., Mitrovi\u0107, S., Mitrovi\u0107, Z.D., and Radenovi\u0107, S. (2020). On F-Contractions for Weak \u03b1-Admissible Mappings in Metric-Like Spaces. Mathematics, 8.","DOI":"10.3390\/math8091629"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1186\/s13663-015-0407-1","article-title":"Fixed point results for generalized F-contractions in modular metric and fuzzy metric spaces","volume":"2015","author":"Hussain","year":"2015","journal-title":"Fixed Point Theory Appl."},{"key":"ref_15","first-page":"673","article-title":"On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application","volume":"135","author":"Zoto","year":"2023","journal-title":"CMES Comput. Model. Eng. Sci."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Saleh, H.N., Sessa, S., Alfaqih, W.M., Imdad, M., and Mlaiki, N. (2020). Fixed Circle and Fixed Disc Results for New Types of \u0398c-Contractive Mappings in Metric Spaces. Symmetry, 12.","DOI":"10.3390\/sym12111825"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Mlaiki, N., Ta\u015f, N., and \u00d6zg\u00fcr, N.Y. (2018). On the Fixed-Circle Problem and Khan Type Contractions. Axioms, 7.","DOI":"10.3390\/axioms7040080"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Ta\u015f, N., \u00d6zg\u00fcr, N.Y., and Mlaiki, N. (2018). New Types of Fc-Contractions and the Fixed-Circle Problem. Mathematics, 6.","DOI":"10.3390\/math6100188"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2154","DOI":"10.1016\/j.na.2011.10.014","article-title":"Fixed point theorems for \u03b1-\u03c8-contractive type mappings","volume":"75","author":"Samet","year":"2012","journal-title":"Nonlinear Anal."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3635","DOI":"10.2298\/FIL1403635A","article-title":"Some fixed point results for (\u03b1, \u03b2)-(\u03c8, \u03d5)-contractive mappings","volume":"28","author":"Alizadeh","year":"2014","journal-title":"Filomat"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/s13398-014-0173-7","article-title":"Various generalizations of metric spaces and fixed point theorems","volume":"109","author":"An","year":"2015","journal-title":"Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A Mat."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2287","DOI":"10.1007\/s11784-017-0416-2","article-title":"A note on the paper: \u201cIntegral equations with new admissability types in b-metric spaces\u201d","volume":"19","year":"2017","journal-title":"J. Fixed Point Theory Appl."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Agarwal, R.P., Karap\u0131nar, E., O\u2019Regan, D., and de Hierro, A.F.R.L. (2015). Fixed Point Theory in Metric Type Spaces, Springer International Publishing.","DOI":"10.1007\/978-3-319-24082-4"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Asif, A., Nazam, M., Arshad, M., and Kim, S.O. (2019). F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications. Mathematics, 7.","DOI":"10.3390\/math7070586"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"3257","DOI":"10.2298\/FIL1910257B","article-title":"Some Interesting Results on F-metric Spaces","volume":"33","author":"Bera","year":"2019","journal-title":"Filomat"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11784-020-00836-y","article-title":"A note on F-metric spaces","volume":"23","author":"Jahangir","year":"2021","journal-title":"J. Fixed Point Theory Appl."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Kanwal, T., Hussain, A., Baghani, H., and de la Sen, M. (2020). New Fixed Point Theorems in Orthogonal F-Metric Spaces with Application to Fractional Differential Equation. Symmetry, 12.","DOI":"10.3390\/sym12050832"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"405","DOI":"10.22436\/jnsa.012.06.06","article-title":"Dass and Guptas fixed point theorem in F-metric spaces","volume":"12","author":"Lateefa","year":"2019","journal-title":"J. Nonlinear Sci. Appl."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1515\/math-2020-0035","article-title":"Analysis of F-contractions in function weighted metric spaces with an application","volume":"18","author":"Ma","year":"2020","journal-title":"Open Math."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1016\/j.trmi.2018.08.006","article-title":"Existence and uniqueness for a neutral differential problem with unbounded delay via fixed point results","volume":"172","author":"Hussain","year":"2018","journal-title":"Trans. A Razmadze Math. Inst."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/11\/2429\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:19:19Z","timestamp":1760145559000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/11\/2429"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,16]]},"references-count":30,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2022,11]]}},"alternative-id":["sym14112429"],"URL":"https:\/\/doi.org\/10.3390\/sym14112429","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,16]]}}}