Cone 2-metric space and Fixed point theorem of contractive mappings

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

Abstrakty

EN

In this paper we introduce cone 2-metric space and prove some fixed point theorems of a contractive mapping on a cone 2-metric spaces.

Słowa kluczowe

EN

cone 2-metric space; Fixed point; cone metric space; 2-metric space; ordered Banach space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2012
• Tom: Vol. 52, [Z] 2
• Strony: 143--151
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Singh B.

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

autor

Jain S.

• Shri Vaishnav Institute op Technology and Science Indore (M.P.), India

autor

Bhagat P.

• Shri Vaishnav Institute op Technology and Science Indore (M.P.), India

Bibliografia

• [1] S.Gähler, 2-metricsche Rdume und ihre topologische strukturę, Math. Nachr. 26 (1963), 115-148.
• [2] S.Gähler, Über die Uniformisierbarkeit 2-metricsche Räume, Math. Nachr. 28 (1965), 235-244.
• [3] S.Gähler, Zur geometric 2-metricsche Räume, Revne Roumaine der Mathem. Pures et Appliques, 11 (1966), 665-667.
• [4] L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, .1. Math. Anal. Appl. 332 (2007), 1468-1476.
• [5] D. llic, V. Rakocevic, Quasi-contraction on a cone metric space, Applied Mathematics Letters 22 (2009), 728- 731.
• [6] Shobha Jain, Shishir Jain and Lai Bahadur, Compatibility and weak compatibility for four self maps in cone metric spaces, Bulletin of Mathematical Analysis and Application 2 (2010), 15-24.
• [7] Shobha Jain, Shishir Jain and Lai Bahadur, Weakly compatibile maps in cone metric spaces, Rendiconti Del Semnario matematico 3 (2010), 13-23.