Orthogonal sets: the axiom of choice and proof of a fixed point theorem
From MaRDI portal
Publication:343873
DOI10.1007/s11784-016-0297-9zbMath1454.54029OpenAlexW2474461289WikidataQ114017263 ScholiaQ114017263MaRDI QIDQ343873
Maryam Ramezani, Hamid Baghani, Madjid Eshaghi-Gordji
Publication date: 29 November 2016
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-016-0297-9
Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Volterra integral equations (45D05) Axiom of choice and related propositions (03E25)
Related Items
A fixed point problem with constraint inequalities via a contraction in incomplete metric spaces, Fixed point theorems in \(R\)-metric spaces with applications, Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space, Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space, Orthogonal \(m\)-metric spaces and an application to solve integral equations, Coincidence and fixed points for multivalued mappings in incomplete metric spaces with applications, Unnamed Item, The Meir-Keeler fixed point theorem in incomplete modular spaces with application, Multivalued rational type \(F\)-contraction on orthogonal metric space, Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations, Existence and stability of solution for a nonlinear Volterra integral equation with binary relation via fixed point results, Unnamed Item, Fixed Point Results in Orthogonal Modular Metric Spaces, Unnamed Item, Unnamed Item, Unnamed Item, On \(\mathfrak{R}\)-partial \(b\)-metric spaces and related fixed point results with applications, Unnamed Item, \(\perp_{\psi F}\)-contractions and some fixed point results on generalized orthogonal sets, Some new stability results of a Cauchy-Jensen equation in incomplete normed spaces, Unnamed Item, Unnamed Item, \(R\)-topological spaces and \textit{SR}-topological spaces with their applications, Orthogonal sets; orthogonal contractions, FIXED POINT OF MULTIVALUED CONTRACTIONS IN ORTHOGONAL MODULAR METRIC SPACES, Fixed point theorems for a new generalization of contractive maps in incomplete metric spaces and its application in boundary value problems, Fixed point for F⊥-weak contraction, Unnamed Item, Unnamed Item, BANACH FIXED POINT THEOREM ON ORTHOGONAL CONE METRIC SPACES, On coincidence point and fixed point theorems for a general class of multivalued mappings in incomplete metric spaces with an application, NOTES ON ORTHOGONAL-COMPLETE METRIC SPACES, On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Common fixed point theorems for ({\(\psi\)}, {\(\phi\)})-weak nonlinear contraction in partially ordered sets
- Fixed points of a new type of contractive mappings in complete metric spaces
- Fixed point theorems for weakly contractive mappings in partially ordered sets
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
- Fixed point theory for generalized \(\varphi\)-weak contractions
- Some theorems on weakly contractive maps.
- Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Fixed point theorems in partially ordered metric spaces and applications
- Fixed point theorems in ordered abstract spaces
- A Generalization of Banach's Contraction Principle
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- On orthogonal sets and Banach fixed point theorem
- Generalized contractions in partially ordered metric spaces
- On Nonlinear Contractions
- Some Remarks Concerning Contraction Mappings
- A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
