Contractive mappings of rational type controlled by minimal requirements functions

DOI10.1007/s13370-015-0319-6zbMath1338.54199OpenAlexW2020311719MaRDI QIDQ258339

J. R. Morales, Edixon Rojas

Publication date: 10 March 2016

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-015-0319-6

zbMATH Keywords

fixed pointcommon fixed pointcontrolling functionproperty P

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (5)

Unnamed Item ⋮ A fixed point theorem for contractive mappings with nonlinear combinations of rational expressions in \(b\)-metric spaces ⋮ Some Boyd-Wong contraction type mappings in \(b\)-metric spaces ⋮ Unnamed Item ⋮ Common fixed points for \((\psi -\varphi)\)-weak contractions type in \(b\)-metric spaces

Cites Work

• Fixed point theorems for mappings satisfying contractive conditions of integral type and applications
• Property \(P\) and some fixed point results on \((\psi, \phi)\)-weakly contractive \(G\)-metric spaces
• Equivalent conditions for generalized contractions on (ordered) metric spaces
• Some fixed point generalizations are not real generalizations
• Fixed point theorems with respect to a contractive condition of integral type
• An extension of Banach contraction principle through rational expression
• Some fixed point theorems by altering distances between the points
• Common fixed points for pairs of mappings with variable contractive parameters
• Compatible mapping and common fixed points
• Some generalizations of Jungck's fixed point theorem
• Fixed point results for contractions involving generalized altering distances in ordered metric spaces
• Fixed point theorems by altering distances between the points
• Commuting Mappings and Fixed Points
• Some Fixed Point Theorems in Metric Spaces by Altering Distances
• MORE MAPS FOR WHICH F(T) = F(Tn)
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