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Common fixed point theorems for commutative and weakly compatible mappings in digital metric space | ||
| Journal of Hyperstructures | ||
| دوره 11، شماره 2، اسفند 2022، صفحه 280-291 اصل مقاله (282.97 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2581 | ||
| نویسندگان | ||
| A. S. Saluja؛ Jyoti Jhade* | ||
| Department of Mathematics, Institute for Excellence in Higher Education, P.O.Box 462016, Bhopal, India | ||
| چکیده | ||
| In this paper, a common fixed point theorem for four commutative mappings in the setting of digital metric space is proved with a supportive example. Also, we established some common fixed point theorems for weakly compatible mappings that satisfy certain contractive conditions in digital metric space. | ||
| کلیدواژهها | ||
| Fixed point؛ Digital Metric Space؛ Digital Image؛ Commutative mapping؛ Weakly compatible mapping | ||
| مراجع | ||
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[1] A. Rani, K. Jyoti and A. Rani, Common xed point theorems in digital metric spaces, Int. j. sci. eng. Res, 7 (2016), 1704-1716. [2] G. Jungck, Commuting mappings and xed point, Amer. Math. Monthly, 83 (1976), 261- 263. [3] G. Jungck, Compatible mappings and common xed points, Int. J. Math Math Sci., 9 (1986), 771-779. [4] G. Jungck, Compatible mappings and common xed points, Int. J. Math Math Sci., 11 (1988), 285-288. [5] L. Boxer, A classical construction for the digital fundamental group, J. Math. Imaging V, 10 (1999), 51-62. [6] L. Boxer, digitally continuous functions,, Pattern Recognit Lett., 15 (1994), 833-839. [7] O. Ege and I. Karaca, Banach xed point theorem for digital images, J. of Non. Sci. and Appli., 8 (2015), 237-245. [8] R. Rani, Common xed point theorem in digital spaces using contraction mappings, int. j. stat. appl. Math, 3 (2018), 140-142. [9] Rosenfeld, Digital topology, Amer. Math. Monthly, 86 (1979), 76-87. [10] S. Dalal, Common xed point results for weakly compatible map in digital metric spaces, Sch J. Phys. Math. Stat., 4 (2017), 196-201. [11] S. Kumar, D. Jain, O. Ege, D. Y. Shin and C. Park, Commuting and compatible mappings in digital metric spaces, J. Fixed Point Theory Appl., 22 (2020), 1-16. [12] S. Sessa, On a weak commutativity condition of mappings in xed point considerations, Publ. Inst. Math, 32 (1982), 149-153. | ||
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