Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces

DOI10.1016/j.chaos.2005.10.010zbMath1143.54019OpenAlexW2079315231MaRDI QIDQ927343

Abdolrahman Razani

Publication date: 5 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.10.010

zbMATH Keywords

fixed pointnonexpansive mappingperiodic pointintuitionistic fuzzy metric space

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy topology (54A40)

Related Items

Relation theoretic metrical fixed point results for Suzuki type \(\mathcal{Z}_{\mathcal{R}}\)-contraction with an application ⋮ A Fixed Point Theorem for Weakly Contractive Mappings ⋮ Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces ⋮ Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces ⋮ Common fixed point theorems for fuzzy mappings under \(\Phi \)-contraction condition ⋮ Some new results for Banach contractions and Edelstein contractive mappings on fuzzy metric spaces ⋮ Common fixed point theorems in intuitionistic fuzzy metric spaces and \(\mathcal L\)-fuzzy metric spaces with nonlinear contractive condition ⋮ The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces ⋮ A common fixed point theorem of compatible maps in Menger space ⋮ On convergence of fixed points in fuzzy metric spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Statistical metric spaces
• On the intuitionistic fuzzy topological spaces
• Intuitionistic fuzzy sets
• A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
• Intuitionistic fuzzy metric spaces
• The Hausdorff fuzzy metric on compact sets
• New operations defined over the intuitionistic fuzzy sets
• On the uncertainty of Cantorian geometry and the two-slit experiment
• A contraction theorem in fuzzy metric spaces
• Fixed and periodic points in the probabilistic normed and metric spaces
• On some results in fuzzy metric spaces