Topological degree theory and fixed point theorems in fuzzy normed space

DOI10.1016/j.fss.2004.01.003zbMath1108.54010OpenAlexW2009047733MaRDI QIDQ1885692

Jian-Zhong Xiao, Xing-Hua Zhu

Publication date: 12 November 2004

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2004.01.003

zbMATH Keywords

Fixed pointCompact operatorTopological degreeFuzzy normed space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Fuzzy topology (54A40) Fuzzy operator theory (47S40) Probabilistic metric spaces (54E70)

Related Items (20)

Various generalized Ulam-Hyers stabilities of a nonic functional equations ⋮ Resonance theorems for family of quasi-homogeneous operators in fuzzy normed linear spaces ⋮ Some fixed point theorems in fuzzy normed linear spaces ⋮ Fuzzy approximations of a multiplicative inverse cubic functional equation ⋮ Approximation of mixed Euler-Lagrange \(\sigma\)-cubic-quartic functional equation in Felbin's type f-NLS ⋮ Fixed point theorems for complex non-self mappings satisfying an implicit relation in Kaleva-Seikkala's type fuzzy metric spaces ⋮ Near fixed point theorems in the space of fuzzy numbers ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ Approximation of a general cubic functional equation in Felbin's type fuzzy normed linear spaces ⋮ Fixed point theorems for nonlinear contractions in Kaleva-Seikkala's type fuzzy metric spaces ⋮ Condensing operators and topological degree theory in standard fuzzy normed spaces ⋮ On generalized fuzzy normed spaces and coincidence point theorems ⋮ Some fixed point theorems for φ-contractive mappings in fuzzy normed linear spaces ⋮ On random topological structures ⋮ Fixed point theorems on fuzzy normed linear spaces ⋮ Pata-type fixed-point theorems in Kaleva-Seikkala's type fuzzy metric space ⋮ The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces ⋮ Fuzzy compact operators and topological degree theory ⋮ Fuzzy Normed Linear Spaces ⋮ Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

Cites Work

• The variational principle in fuzzy metric spaces and its applications
• Finite dimensional fuzzy normed linear space
• On linearly topological structure and property of fuzzy normed linear space
• Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces
• Fixed point theorems for multivalued mappings in some classes of fuzzy metric spaces
• Degree of Mapping in Convex Linear Topological Spaces
• On fuzzy metric spaces
• Unnamed Item

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