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Some fixed point theorems satisfying generalized contraction conditions in dislocated quasi metric space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 16، شماره 1، فروردین 2025، صفحه 245-251 اصل مقاله (341.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28150.3816 | ||
| نویسندگان | ||
| Nikita Mittal1؛ Pawan Kumar* 2؛ Zaheer Kareem Ansari3؛ Aparna Vyas1 | ||
| 1Department of Sciences (Mathematics), Manav Rachna University, Faridabad-121004, India | ||
| 2Department of Mathematics, Ram Lal Anand College, University of Delhi, South Campus, Anand Niketan, Delhi-110021, India | ||
| 3Department of Applied Sciences and Humanities, IMS Engineering College, Ghaziabad, Uttar Pradesh-201015, India | ||
| تاریخ دریافت: 29 مرداد 1401، تاریخ پذیرش: 21 مهر 1402 | ||
| چکیده | ||
| The goal of this research article is to study some fixed point results in dislocated quasi metric spaces. These results are proved for certain generalized contraction conditions involving linear and rational expressions. Our results extend and generalize some of the well-known fixed point results of the literature available in fixed point theory. Suitable examples of the established results are also given. | ||
| کلیدواژهها | ||
| Fixed point؛ contraction mapping؛ complete metric space؛ dislocated quasi metric space؛ Cauchy sequence | ||
| مراجع | ||
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[1] C.T. Aage and J.N. Salunke, Some results of fixed point theorem in dislocated quasi-metric spaces, Bull. Marathadawa Math. Soc. 9 (2008), 1–5. [2] L.B. Ciric, A generalization of Banach’s contraction principle, Proc. Am. Math. Soc. 45 1974, 267–273. [3] B.K. Dass and S. Gupta, An extension of Banach contraction principle through rational expression, Indian J. Pure Appl. Math. 6 (1975), no. 12, 1455–1458. [4] P. Hitzler and A.K. Seda, Dislocated topologies, J. Electr. Eng. 51 (2000), no. 12, 3–7. [5] P. Hitzler, Generalized metrics and topology in logic programming semantics, PhD Thesis, National University of Ireland, 2001. [6] A. Isufati, Fixed point theorems in dislocated quasi-metric space, Appl. Math. Sci. 4 (2010), no. 5, 217–233. [7] R. Kannan, Some results on fixed points, Bull. Cal. Math. Soc. 60 (1968), 71–76. [8] M. Kohli, R. Shrivastava, and M. Sharma, Some results on fixed point theorems in dislocated quasi metric space, Int. J. Theor. Appl. Sci. 2 (2010), 27–28. [9] S.G. Mathews, Metrics domain for completeness, PhD Thesis, Department of Computer Science, University of Warwick, UK, 1986. [10] S.T. Patel and M. Patel, Some results of fixed point theorem in dislocated quasi-metric space, Int. J. Res. Mod. Eng. Technol. 1 (2013), 20–24. [11] M.U. Rahman and M. Sarwar, Fixed point results in dislocated quasi-metric spaces, Int. Math. Forum 9 (2014), 677–682. [12] A.K. Seda, Quasi metrics and the semantics of logic programs, Fund. Inf. 29 (1997), 97–117. [13] F.M. Zeyada, G.H. Hassan, and M.A. Ahmed, A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi metric spaces, Arab. J. Sci. Engg. 31 (2006), no. 1A, 111–114. [14] K. Zoto, E. Houxha, and A. Isufati, Some new results in dislocated and dislocated quasi metric spaces, Appl. Math. Sci. 6 (2012), 3519–3526. | ||
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