Fixed point theorems in probabilistic metric spaces

DOI10.1016/j.chaos.2008.04.030zbMath1198.54082OpenAlexW2115431426MaRDI QIDQ602412

Dorel Miheţ

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.2008.04.030

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70)

Related Items (16)

Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications ⋮ Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces ⋮ Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces ⋮ Some fixed-point theorems for mixed monotone operators in partially ordered probabilistic metric spaces ⋮ Weak and strong convergence theorems of fixed points for nonexpansive mappings and strongly pseudocontractive mappings in a new class of probabilistic normed spaces ⋮ Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces ⋮ Unnamed Item ⋮ Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces ⋮ Some new results for Banach contractions and Edelstein contractive mappings on fuzzy metric spaces ⋮ A coincidence point result in Menger spaces using a control function ⋮ A use of pair (F; h) upper class on some fixed point results in probabilistic Menger space ⋮ Altering distances in probabilistic Menger spaces ⋮ Some convergence results for iterative sequences of Prešić type and applications ⋮ On fixed point theorems involving altering distances in Menger probabilistic metric spaces ⋮ \(n\)-tuplet coincidence point theorems in partially ordered probabilistic metric spaces ⋮ Probabilistic convergence analysis of the stochastic particle swarm optimization model without the stagnation assumption

Cites Work

• The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words
• On the uncertainty of Cantorian geometry and the two-slit experiment
• The two-slit experiment as the foundation of E-infinity of high energy physics
• A note on intuitionistic fuzzy metric spaces
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fixed point theorems in probabilistic metric spaces