Common fixed point theorems for three expansive self-maps in D-metric spaces

• Autorzy: Singh B. , Jain S.
• Języki publikacji: EN

Abstrakty

EN

B. Singh and R. K. Sharma [Demonstratio Math. Vol. 36, No.l (2003), 215-220] have proved two common fixed point theorems for two self-maps satisfying an expansive condition in D- metric spaces. This note offers generalization for these theorems for three self-maps using weak- compatibility and reduces the domain of z to an orbit only. The last theorem proves that the continuity of none of two or three maps is required in the setting of D- metric space.

Słowa kluczowe

EN

D-metric spaces; fixed point theorems; orbit; bounded orbit; complete orbit; weak-compatible maps

PL

przestrzeń metryczna; twierdzenie o punkcie stałym; orbity; orbity ograniczone; odwzorowanie zgodne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 3
• Strony: 703--713
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Singh B.

• S. S. in Mathematics, Vikram University, Ujjain (M.P.), India

autor

Jain S.

• M. B. Khalsa College, Rajmohalla, Indore (M.P.), India

Bibliografia

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• [6] M. A. Khan, M. S. Khan and S. Sessa, Some theorems on expansion mappings and their fixed points, Demonstratio Math. 19 (1986), 673-683.
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• [8] B. Singh and R. .K. Sharma, Common fixed point for expansion mappings in generalized metric spaces, Demonstratio Math. 36 No. 1 (2003), 215-220.
• [9] T. Taniguchi, Common fixed point theorems on expansion type mappings on complete metric spaces, Math. Japonica 34 (1989), 139-142.
• [10] S. Z. Wang, B. Y. Li, Z. M . Gao and K. Is’eki, Some fixed point theorems on expansion mappings, Math. Japonica 29 (1984), 631-636.