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Generalized hybrid contraction in weak partial metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 14، شماره 7، مهر 2023، صفحه 21-34 اصل مقاله (354.53 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28666.3954 | ||
| نویسندگان | ||
| Swati Saxena* ؛ U. C. Gairola | ||
| Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal-246001, Uttarakhand, India | ||
| تاریخ دریافت: 19 مهر 1401، تاریخ بازنگری: 07 فروردین 1402، تاریخ پذیرش: 30 اردیبهشت 1402 | ||
| چکیده | ||
| In this paper, a common fixed point theorem for a generalized hybrid contraction map in weak partial metric space is proved. We also present illustrated examples in support of our result. Moreover, we provide a homotopy result as an application of our result. | ||
| کلیدواژهها | ||
| Generalized Hybrid contraction mapping؛ Weak Partial metric space؛ Partial Hausdorff metric؛ Coincidence Point؛ Common fixed point | ||
| مراجع | ||
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[1] I. Altun, F. Sola, and H. Simsek, Generalized contractions on partial metric spaces, Topology Appl. 157 (2010), 2778–2785. [2] H. Aydi, M. Abbas, and C. Vetro, Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric space, Topology Appl. 159 (2012), 3234–3242. [3] H. Aydi, M. Abbas, and C. Vetro, Common fixed points for multivalued generalized contraction on partial metric spaces, Rev. Real Acad. Cien. Exacts Fis. Natur. A. Mat. 108 (2014), 483–501. [4] H. Aydi, M.A. Barakat, Z.D. Mitrovic, and V.S. Cavic, A Suzuki type multi-valued contraction on weak partial metric space and applications, J. Inequal. Appl. 2018 (2018), 270. [5] I. Beg and H.K. Pathak, A variant of Nadler’s theorem on weak partial metric spaces with application to homotopy result, Vietnam J. Math. 46 (2018), 693–706. [6] N. Chandra, M.C. Arya, and M.C. Joshi, Coincidence point theorems for generalized contraction in partial metric spaces, Recent Advances in Fixed Point Theory and Applications, Chapter 10, Nova Science Publishers, Inc., USA, 2017. [7] L. Ciric, B. Samet, H. Aydi, and C. Vetro, Common fixed points of generalized contraction on partial metric spaces and an application, Appl. Math. Comp. 218 (2011), 2398–2406. [8] T. Kamran, Coincidence and fixed points for hybrid strict contractions, J. Math. Anal. Appl. 299 (2004), 235–241. [9] S.G. Matthews, Partial metric topology, Ann. N. Y. Acad. Sci. 728 (1994), no. 1, 183–197. [10] S.B. Nadler, Multivalued contraction mappings, Pac. J. Math. 30 (1969), 475–488. [11] S. Negi, U.C. Gairola, Common fixed points for generalized multivalued contraction mappings on weak partial metric spaces, Jnanabha 49 (2019), no. 2, 34–44. [12] S. Negi and U.C. Gairola, Fixed point of Suzuki-type generalized multivalued contraction mappings on weak partial metric spaces, Jnanabha. 50 (2020), no. 1, 35-42. [13] S. Saxena and U.C. Gairola, Hybrid contraction in weak partial metric spaces, Jnanabha 52 (2022), no. 2, 229–237. [14] S.L. Singh and S.N. Mishra, Coincidence and fixed points of non-self hybrid contractions, J. Math. Anal. Appl. 256 (2001), 486–497. | ||
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