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Fixed point theory in digital topology | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، Special Issue for selected papers of ICDACT-2021، خرداد 2022، صفحه 157-163 اصل مقاله (346.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6375 | ||
| نویسندگان | ||
| R. Kalaiarasi؛ Reena Jain* | ||
| Mathematics Division, SASL, VIT Bhopal University 466114(M.P), India | ||
| تاریخ دریافت: 22 مرداد 1400، تاریخ بازنگری: 27 آبان 1400، تاریخ پذیرش: 21 دی 1400 | ||
| چکیده | ||
| In this paper, we review some research works on exploring image processing in digital spaces using fixed point theorems. The basic concepts of digital images are mentioned. Moreover, we prove some theorems on digital metric spaces by replacing the conditions in the previously established theorem with a suitable condition. | ||
| کلیدواژه‌ها | ||
| Fixed point theorems؛ Banach contraction principle؛ digital images؛ digital contraction؛ digital metric space | ||
| مراجع | ||
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[1] R.P. Agarwall, M. Meehan and D. O’Regan, Fixed point theory and applications, Cambridge University Press, 2001. [2] A.G. Aksoy and M.A. Khamsi, Nonstandard methods in fixed point theory, Springer, New York, Berlin, 1990. [3] S. Banach, Sur less opeerations dans les ensembles abstraits et leur applications aux equations integrates, Fund. Math. 3(1922), 133–181. [4] L.E.S. Brouwer, Uber abbildungen von mannigfaltigkeiten, Math. Ann. 77 (1912), 97–115. [5] L. Boxer, Digitally continuous function, Pattern Recog. Lett. 15 (1994), 833–839. [6] L. Boxer, A classical constructions for the digital fundamental group, J. Math. Imag. Vis. 10 (1999), 51–62. [7] L. Boxer, Properties of digital homotopy, J. Math. Imag. Vis. 22 (2005), 19–26. [8] L. Boxer, Digital products, wedges and covering spaces, J. Math. Imag, Vis. 25 (2006), no. 2, 159–171. [9] O. Ege and I. Karaca, Lefschetz fixed point theorem for digital images, Fixed Point Theory, Appl. 2013 (2013), 13 pages. [10] O. Ege and I. Karaca, Applications of the Lefschetz number to digital images, Bull. Belg. Math. Soc. Simon Stevin 21 (2014), 823–839. [11] O. Ege and I. Karaca, Banach fixed point theorem for digital images, J. Nonlinear Sci. Appl. 8 (2015), 237–245. [12] G.T. Herman, Oriented surfaces in digital spaces, CVGIP Graph. Mod. Image Process. 55 (1993) 381–396. [13] S. Jain, S. Jain and L.B. Jain, On Banach contraction principle in a cone metric space, J. Nonlinear Sci. Appl. 5 (2012), 198–203. [14] M. Jleli and B. Samet, A new generalisation of the Banach contraction principle, J. Inequal. Appl. 2014 (2014), 8 pages. [15] K. Jyoti and A. Rani, Digital expansions endowed with fixed point theory, Turk. J. Anal. Number Theory 5 (2017), no. 5, 146–152. [16] R. Kannan, Some results on fixed point, Bull. Cal. Math. Soc. 60 (1968), 71–76. [17] R. Kannan, Some results on fixed point II, Amer. Math. Month. 76 (1969), no. 4, 405–408. [18] T.Y. Kong, A digital fundamental group, Comput. Graph. 13 (1989), 159–166. [19] A. Rosenfeld, Digital topology, Amer. Math. Month. 86 (1979), 76–87.[20] B.E. Rhoades, Fixed point theorems and stability results for fixed point iteration procedures, Indian J. Pure Appl. Math. 24 (1993), no. 11, 691–703. [21] V.M. Sehgal and A.T. Reid Bharucha, Fixed points of contraction mappings on PM-spaces, Math. Syst. Theory 6 (1972), 97–102. [22] W. Shatanawi and H.K. Nashine, A generalisation of Banach’s contraction principle for nonlinear contraction in a partial metric space, J. Nonlinear Sci. Appl. 5 (2012), 37–43. [23] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23 (1972), 292–298. | ||
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