Common fixed point theorems for a family of non-self mappings in convex metric spaces

DOI10.1016/J.NA.2009.01.002zbMath1203.54038OpenAlexW2058942966MaRDI QIDQ1030058

Ljubomir B. Ćirić

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.002

zbMATH Keywords

complete metric spacecommon fixed pointcoincidence pointconvex metric spacecoincidentally commuting mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (11)

Fixed point theorems for the functions having monotone property or comparable property in the product spaces ⋮ Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces ⋮ Convergence theorems for nonexpansive semigroups in spaces ⋮ Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces ⋮ Fixed point Theorems for Non-self mappings with nonlinear contractive condition in strictly convex FCM-spaces ⋮ Common fixed point theorem for two pairs of non-self-mappings satisfying generalized Ćirić type contraction condition in cone metric spaces ⋮ Implicit Ishikawa approximation methods for nonexpansive semigroups in CAT(0) spaces ⋮ Common coupled fixed point theorems for weakly compatible mappings in fuzzy metric spaces ⋮ Fixed point theorems for non-self mappings with nonlinear contractive condition in strictly convex Menger \(PM\)-spaces ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces ⋮ Coincidence point and common fixed point theorems in the product spaces of mixed-monotonically complete quasi-ordered metric spaces and their applications to the systems of integral equations and ordinary differential equations

Cites Work

• Contractive type non-self mappings on metric spaces of hyperbolic type
• Common fixed point theorems for multivalued mappings
• A fixed point theorem for non-self set-valued mappings
• Fixed points for set valued functions without continuity
• Multi-valued non-self-mappings on convex metric spaces
• Iterative construction of fixed points of nonself-mappings in Banach spaces
• Fixed point theorems for set-valued mappings of contractive type
• Some common fixed point theorems for a family of mappings in metrically convex spaces
• Fixed points of nonself-mappings and applications
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