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

DOI10.1017/S0004972700007887zbMath0385.54028MaRDI QIDQ4165922

S. N. Lal, A. K. Singh

Publication date: 1978

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (13)

Common Fixed Point Theorems in 2-Metric Spaces Using Composition of Mappings via A-Contractions ⋮ A common fixed point theorem for expansive mappings in 2-metric spaces and its application ⋮ Unique fixed points of \(p\)-cyclic Kannan type probabilistic contractions ⋮ Some new results on stability of fixed points ⋮ Rational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered $b_2$-metric Spaces ⋮ Probabilistic \(p\)-cyclic contractions using different types of \(t\)-norms ⋮ Remarks on the fixed point problem of 2-metric spaces ⋮ Fixed point theorems for weak \(C\)-contractions in partially ordered 2-metric spaces ⋮ A fixed point theorem in 2-metric spaces for a class of maps that satisfy a contractive condition dependent on another function ⋮ Complex 2-normed linear spaces and extension of linear 2-functionals ⋮ \(b_2\)-metric spaces and some fixed point theorems ⋮ A fixed point theorem for (μ, ψ)-generalized ƒ-weakly contractive mappings in partially ordered 2-metric spaces ⋮ Unnamed Item

Cites Work

• Common fixed points of two mappings
• Fixed point theorems in probabilistic analysis
• 2‐Banach Spaces
• A Generalization of a Fixed Point Theorem of Reich
• 2‐metrische Räume und ihre topologische Struktur

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