New types of common fixed point theorems in 2-metric spaces

DOI10.1016/j.chaos.2008.06.005zbMath1198.54073OpenAlexW2149153517MaRDI QIDQ602461

M. E. Abd El-Monsef, Khaled Abd-Rabou, Hassan Mustafa Abu-Donia

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.06.005

Mathematics Subject Classification ID

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

Related Items (4)

Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces ⋮ Common fixed point theorems of Greguš type \((\phi, \psi)\)-weak contraction for \(R\)-weakly commuting mappings in 2-metric spaces ⋮ Fixed points and lines in 2-metric spaces ⋮ Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation

Cites Work

• Some fixed point theorems for compatible maps
• Elementary number theory in superstrings, loop quantum mechanics, twistors and \(E\)-infinity high energy physics
• On generalizations of the Meir-Keeler type contraction maps
• Fixed point theorems in 2-metric spaces
• Fixed points for set valued functions without continuity
• Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics
• Compatible mapping and common fixed points
• Common fixed point theorems for weakly compatible mappings
• Über die Uniformisierbarkeit 2‐metrischer Räume
• 2‐metrische Räume und ihre topologische Struktur
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