Extension of contractive maps in the Menger probabilistic metric space

DOI10.1016/j.chaos.2006.05.022zbMath1152.54367OpenAlexW2067383664MaRDI QIDQ2519883

Kaveh Fouladgar, Abdolrahman Razani

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.05.022

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Operator theory in probabilistic metric linear spaces (47S50) Probabilistic metric spaces (54E70)

Related Items (10)

\(p-\)cyclic \(C\)-contraction result in Menger spaces using a control function ⋮ Research on some problems for nonlinear operators ⋮ Fixed points of a sequence of locally contractive multivalued maps ⋮ Coupled coincidence point results for compatible mappings in partially ordered probabilistic metric spaces ⋮ Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces ⋮ A coincidence point result in Menger spaces using a control function ⋮ Common fixed point theorems for nonlinear contractions in a Menger space ⋮ Generalized probabilistic metric spaces and fixed point theorems ⋮ Common fixed point theorems under strict contractive conditions in Menger spaces ⋮ Probabilistic convergence analysis of the stochastic particle swarm optimization model without the stagnation assumption

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• A common fixed point theorem of compatible maps in Menger space
• Fixed and periodic points in the probabilistic normed and metric spaces
• Generalized contraction mapping principle and differential equations in probabilistic metric spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• Statistical Metrics

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