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An analogue of Banach's contraction principle for 2-metric spaces

  • S.N. Lal (a1) and A.K. Singh (a1)


In this paper we establish a fixed point theorem for 2-metric spaces. Some interesting particular cases of this theorem are also obtained.



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[1]Bharucha-Reid, A.T., “Fixed point theorems in probabilistic analysis”, Bull. Amer. Math. Soc. 82 (1976), 641657.
[2]Gähier, Siegfried, “2-metrische Räume und ihre topologische Struktur”, Math. Nachr. 26 (1963/1964), 115118.
[3]Hardy, G.E. and Rogers, T.D., “A generalization of a fixed point theorem of Reich”, Canad. Math. Bull. 16 (1973), 201206.
[4]Iseki, K., Sharma, P.L. and Sharma, B.K., “Contraction type mapping on 2-metric space”, Math. Japan. 21 (1976), 6770.
[5]White, Albert George Jr, “2-Banach spaces”, Math. Nachr. 42 (1969), 4360.
[6]Wong, Chi Song, “Common fixed points for two mappings”, Pacific J. Math. 48 (1973), 299312.
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