Fixed point theorems for convex contraction mappings on cone metric spaces
From MaRDI portal
Publication:409847
DOI10.1016/j.mcm.2011.05.010zbMath1235.54021OpenAlexW2003081210MaRDI QIDQ409847
Stojan Radenović, Naseer Shahzad, Shahrazad H. Alnafei, Mohammad Ali Alghamdi
Publication date: 15 April 2012
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.05.010
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
Fixed point theorems for \((p,q)\)-quasi-contraction mappings in cone metric spaces ⋮ \(F\)-convex contraction via admissible mapping and related fixed point theorems with an application ⋮ Common fixed point theorems for \(\alpha-\psi\)-contractive type mappings ⋮ On fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces ⋮ Fixed points of convex and generalized convex contractions ⋮ On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions ⋮ Approximate fixed points of generalized convex contractions ⋮ Iterated function systems consisting of generalized convex contractions in the framework of complete strong \(b\)-metric spaces ⋮ Weacly Istrǎtescu convex contractions ⋮ Some ordered fixed point results and the property (P) ⋮ On generalized convex contractions of type-2 in b-metric and 2-metric spaces ⋮ Alpha-\(F\)-convex contraction mappings in \(b\)-metric space and a related fixed point theorem ⋮ Some fixed point results regarding convex contractions of Presić type ⋮ Fixed points of Perov type contractive mappings on the set endowed with a graphic structure ⋮ Discontinuous convex contractions and their applications in neural networks ⋮ Some fixed point theorems for convex contractive mappings in complete metric spaces with applications ⋮ On (α,p)-convex contraction and asymptotic regularity ⋮ Fixed point results for decreasing convex orbital operators in Hilbert spaces ⋮ On discontinuity at fixed point via power quasi contraction ⋮ SOME FIXED POINT RESULTS FOR CONVEX CONTRACTION MAPPINGS ON F-METRIC SPACES
Cites Work
- Unnamed Item
- Efficacy of cones on topological vector spaces and application to common fixed points of multifunctions
- Cone metric spaces and fixed point theorems of contractive mappings
- Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
- Some notes on fixed points of quasi-contraction maps
- Common fixed points under contractive conditions in cone metric spaces
- \(\varphi\)-pairs and common fixed points in cone metric spaces
- Weakly \(\varphi \)-pairs and common fixed points in cone metric spaces
- Strict contractive conditions and common fixed point theorems in cone metric spaces
- Remarks on ``Quasi-contraction on a cone metric space
- Fixed point results for generalized quasicontraction mappings in abstract metric spaces
- Some fixed point theorems for convex contraction mappings and mappings with convex diminishing diameters. I
- Fixed points of multifunctions on regular cone metric spaces
- Fixed Point of Multifunctions on Cone Metric Spaces
- MORE MAPS FOR WHICH F(T) = F(Tn)