Fixed point theorems in 2-metric spaces

zbMath0592.54049MaRDI QIDQ1075638

J. Rajendra Prasad, S. Venkata Ratnam Naidu

Publication date: 1986

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak continuityweak commutativity2-metric spacefour self-maps

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (19)

Common Fixed Point Theorems in 2-Metric Spaces Using Composition of Mappings via A-Contractions ⋮ Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces ⋮ Unnamed Item ⋮ On 2s-metric spaces ⋮ Common fixed point theorems of Greguš type \((\phi, \psi)\)-weak contraction for \(R\)-weakly commuting mappings in 2-metric spaces ⋮ New types of common fixed point theorems in 2-metric spaces ⋮ A common fixed point theorem for expansive mappings in 2-metric spaces and its application ⋮ Unnamed Item ⋮ Some new results on stability of fixed points ⋮ Rational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered $b_2$-metric Spaces ⋮ Fixed points and lines in 2-metric spaces ⋮ Fixed point theorems for weak \(C\)-contractions in partially ordered 2-metric spaces ⋮ \(b_2\)-metric spaces and some fixed point theorems ⋮ Fixed point results for modified weak and rational \(\alpha\)-\(\psi\)-contractions in ordered 2-metric spaces ⋮ Stone-type theorem on \(b\)-metric spaces and applications ⋮ A fixed point theorem for (μ, ψ)-generalized ƒ-weakly contractive mappings in partially ordered 2-metric spaces ⋮ Unnamed Item ⋮ Various generalizations of metric spaces and fixed point theorems ⋮ Statistical convergence in 2-metric spaces

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