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Common coincidence and fixed points for several functions in b-metric spaces | ||
| Journal of Hyperstructures | ||
| دوره 11، شماره 1، شهریور 2022، صفحه 115-129 اصل مقاله (265.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2531 | ||
| نویسندگان | ||
| Jayesh Tiwari1؛ Dileep Kumar Sharma* 2 | ||
| 1Department of Computer Science, Devi Ahilya University, Shri Vaishnav Institute of Management, Indore, M.P., India | ||
| 2Department of Mathematics, Devi Ahilya University, Indore, Govt. Polytechnic College Mandsaur, M.P., India | ||
| چکیده | ||
| The purpose of this research paper is to show the existence and uniqueness of coincidence and fixed points for more then two functions on new contraction mapping and expansive mapping in b-metric spaces. Also we give several corollaries in such spaces. These results are extend many of the past results and will help to research scholar in their advance works. | ||
| کلیدواژه‌ها | ||
| Coincidence point؛ fixed point؛ contraction mapping؛ expansive mapping؛ $b$-metric space | ||
| مراجع | ||
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[1] S. Agrawal, K. Qureshi and J. Nema, A xed point theorem for b-metric spaces, International journal of Pure and Applied Mathematical Sciences, 9(1)(2016), 45-50. [2] H. Ayde, M.F.Bota, E.Karasinar and S.Moradi, A common xed point for weak Φ contractions on b-metric spaces, Fixed Point Theorem, 13(1)(2012), 337-346. [3] I. A. Bakhtin, The contraction mapping principle in quasi metric spaces, Functional Anal. Unianowsk Gos. Ped. Inst., 30(1989), 26-37. [4] S. Banach, Surles operations dans les ensembles abstract et leur application aux equation integral, Fund. Math., 3(1)(1922), 133-181. [5] M. Boriceanu, K. Qureshi and J. Nema, Strict xed point theorem for multivalued operatorsb-metric spaces, Inter. J. Mod. Math., 4(1)(2009), 285-301. [6] S. Czerwik, Contraction mappings in b-metric spaces, Acta. Math. Inform. Univ. Ostraviensis, 1(1993), 5-11. [7] B. Nurwahyu, Common xed point theorems for three functions on contraction mapping and expansive mapping in b-metric space, IOP Conf. Series: Journal of Physics, 1218 (2019), 012060. [8] K. Soumeyeh, New xed point results in Fuzzy metric space, Journal of Hyperstructures, 10 (2) (2021), 150-171. [9] J. Tiwari, D. K. Sharma, P. kotti NVV Vara, Some xed point theorems on b-metric spaces, Bulletin of pure and applied sciences, 40(1) (2021), 18-25. [10] O. Tarkan and O. Degirmenci, Some results on the topology of Fuzzy metric type spaces, Journal of Hyperstructures, 6 (2) (2017), 128-135. | ||
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