{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T12:40:38Z","timestamp":1760186438374,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,1,9]],"date-time":"2019-01-09T00:00:00Z","timestamp":1546992000000},"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>The notion of rational F-contractions using    \u03b1   -admissibility of type-S in b-metric-like spaces is introduced and the new fixed and periodic point theorems are proved for such mappings. Numerical examples are illustrated to check the efficiency and applicability of our fresh findings. It is also observed that some of the works reported in the literature are the particular cases of the present study.<\/jats:p>","DOI":"10.3390\/sym11010070","type":"journal-article","created":{"date-parts":[[2019,1,10]],"date-time":"2019-01-10T03:22:31Z","timestamp":1547090551000},"page":"70","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Application of Fixed Point Results on Rational F-Contraction Mappings to Solve Boundary Value Problems"],"prefix":"10.3390","volume":"11","author":[{"given":"G. V. V.","family":"Jagannadha Rao","sequence":"first","affiliation":[{"name":"Department of Mathematics, The ICFAI University, Raipur, Chhattisgarh 490042, India"}]},{"given":"S. K.","family":"Padhan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0738-787X","authenticated-orcid":false,"given":"Mihai","family":"Postolache","sequence":"additional","affiliation":[{"name":"Center for General Education, China Medical University, Taichung 40402, Taiwan"},{"name":"Romanian Academy, Gh. Mihoc\u2013C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania"},{"name":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2019,1,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Wardowski, D. (2012). Fixed point theory of a new type of contractive mappings in complete metric spaces. 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Fixed Point Theory Appl.","DOI":"10.1186\/1687-1812-2012-204"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1007\/s00009-013-0327-4","article-title":"Partial b-metric spaces and fixed point theorems","volume":"11","author":"Shukla","year":"2014","journal-title":"Mediterr. J. Math."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Hussain, N., Roshan, J.R., Parvaneh, V., and Kadelburg, Z. (2014). Fixed points of contractive mappings in b-metric-like spaces. Sci. World J., 2014.","DOI":"10.1155\/2014\/981578"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Chen, C.F., Dong, J., and Zhu, C.X. (2015). Some fixed point theorems in b-metric-like spaces. Fixed Point Theory Appl., 122.","DOI":"10.1186\/s13663-015-0369-3"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Karap\u0131nar, E., Kutbi, MA., Piri, H., and O\u2019Regan, D. (2015). Fixed points of conditionally F-contractions in complete metric-like spaces. 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