논문KCI 등재
Fixed point of a 2-contraction through an alternative technique
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This paper aims at proving the Banach's contraction theorem in a 2-metric space by repeated use of the symmetry and the tetra- hedron inequality of the 2-metric, based on only an elementary greatest lower bound property instead of usual iteration proce- dure.
Abstract
This paper aims at proving the Banach's contraction theorem in a 2-metric space by repeated use of the symmetry and the tetra- hedron inequality of the 2-metric, based on only an elementary greatest lower bound property instead of usual iteration proce- dure.
참고문헌 (10)
- Robert G. Bartle, "Introduction to real anal-ysis", pp.46~ (1994), John Wiley and Sons (SEA) Pte. Ltd
- Gahler, S., "2-metrische Raume und ihre topologische Struktur", Math. Nachr., 26, pp.115~148 (1963)
- Gahler, S., "Uber die Uniformisierbarkeit 2-metrischer Raume", Math. Nachr., 28, pp.235~244 (1965)
- Ha Ki. S, "Strictly convex and 2-convex, 2-normed spaces", Math. Japon., 33, pp.378~384 (1988)
- Iseki, K., "Contraction type mapping on 2-metric space", Math. Japon., 21(1), pp.67~70 (1976)
- Joseph, J.E., "Alternative approaches to proofs of contraction mapping fixed point theorems", Missouri J. Math. Sci., 11, pp.167~175 (1999)
- Lal, S.N., "An analogue of Banachs contraction prin-ciple for 2-metric spaces", Bull. Austral. Math. Soc., 18(1), pp.137~143 (1978)
- Naidu, S.V.R., "J. Fixed point theorems in 2-metric spaces", Indian J. pure appl. Math., 17(8), pp.974~993 (1986)
- Phaneendra, T., "Unique fixed point in G-metric space through greatest lower bound properties", NSJOM, 43(2), pp.107~115 (2013)
- Rhoades, B.E., "Contraction type mappings on a 2-metric space", Math. Nachr., 91, pp.151~155 (1979)
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