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Fixed point on generalized dislocated metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 68، دوره 13، شماره 1، خرداد 2022، صفحه 831-836 اصل مقاله (359.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20980.2218 | ||
| نویسندگان | ||
| M A Ahmed1، 2؛ Ismat Beg* 3؛ S Khafagy1، 1؛ N. A. Nafadi4 | ||
| 1Department of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi Arabia | ||
| 2Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt | ||
| 3Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan | ||
| 4Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt | ||
| تاریخ دریافت: 05 آبان 1398، تاریخ بازنگری: 29 آذر 1398، تاریخ پذیرش: 05 دی 1398 | ||
| چکیده | ||
| In the present paper, we introduce new types of convergence of a sequence in left dislocated and right dislocated metric spaces. Also, we generalize the Banach contraction principle in these newly defined generalized metric spaces. | ||
| کلیدواژهها | ||
| Fixed point؛ left dislocated metric؛ right dislocated metric؛ contraction | ||
| مراجع | ||
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[1] I. Beg, M. Arshad and A. Shoaib, Fixed point on a closed ball in ordered dislocated quasi metric spaces, Fixed Point Theory, 16(2) (2015) 195–206. [2] M. Fr´echet, Sur quelques points du calcul fonctionnel, Rendic. Circ. Mat. Palermo 22 (1906) 1–74. [3] P. Hitzler, Generalized metrics topology in logic programming semantics, Ph. D. Thesis, National University of Ireland (University College Cork), 2001. [4] P. Hitzler and A. K. Seda, Dislocated topologies, J. Electr. Engin. 51 (12) (2000) 3–7. [5] K. Menger, Probabilistic theories of relations, Proc. Nat. Acad. Sci. USA. 37(3) (1951) 178–180. [6] P. Waszkiewicz, Quantitative Continuous Domains, Ph.D. Thesis (School of Computer Science, The University of Birmingham, Edgbaston, Birmingham, 2002. [7] P. Waszkiewicz, The local triangle axioms in topology and domain theory, Appl. General Top. 4 (1) (2003) 47–70. [8] E. Zeidler, Nonlinear Functional Analysis and its Applications, I: Fixed Point Theorems, Springer-Verlag, New York Inc. (1986). [9] M. A. Ahmed, F.M. Zeyada and G.F. Hassan, Fixed point theorems in generalized types of dislocated metric spaces and its applications, Thai J. Math. 11(1) (2013) 67–73 | ||
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