Further generalizations of the Banach contraction principle
From MaRDI portal
Publication:2262882
DOI10.1186/1029-242X-2014-439zbMath1347.54086WikidataQ59320087 ScholiaQ59320087MaRDI QIDQ2262882
Mohamed Jleli, Erdal Karapınar, Bessem Samet
Publication date: 16 March 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (52)
Existence of fixed points for \(\Theta\)-type contraction and \(\theta\)-type Suzuki contraction in complete metric spaces ⋮ On new generalized \(\theta_b\)-contractions and related fixed point theorems ⋮ Some fixed point theorems for \((\alpha,\theta,k)\)-contractive multi-valued mappings with some applications ⋮ Fixed point theorems for a class of extended JS contraction mappings over a generalized metric space with an application to fixed circle problema ⋮ Unnamed Item ⋮ Results on fixed circles and discs for \(L_{(\omega,C)}\)-contractions and related applications ⋮ Fixed point theorems for generalized set-valued weak \(\theta \)-contractions in complete metric spaces ⋮ New fixed point theorems for \(\theta\)-\(\phi \)-contraction on rectangular \(b\)-metric spaces ⋮ Fixed point theorems for generalized \(\theta\)-\(\phi\)-expansive mapping in rectangular metric spaces ⋮ A certain class of $\theta_{L}$-type non-linear operators and some related fixed point results ⋮ Unnamed Item ⋮ On new common fixed points of multivalued \((\varUpsilon,\varLambda )\)-contractions in complete \(b\)-metric spaces and related application ⋮ Ordered \(S_p\)-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems ⋮ Unnamed Item ⋮ Fixed point theorems for set-valued \(\mathcal{L} \)-contractions in Branciari distance spaces ⋮ Fixed point theorems for \((\alpha, k, \theta, \varphi)\)-contraction multivalued mappings in \(b\)-metric space ⋮ New fixed point theorems for \(\theta\)-\(\omega\)-contraction on \((\lambda, \mu)\)-generalized metric spaces ⋮ FIXED POINT THEOREMS FOR θ-EXPANSIONS IN BRANCIARI METRIC SPACES ⋮ New fixed point theorems for \((\phi, F)\)-contraction on rectangular \(b\)-metric spaces ⋮ Fixed points of JS-contractive mappings with applications ⋮ On a JH-operators pair of type (A) with applications to integral equations ⋮ Generalized contraction mappings in double controlled metric type space and related fixed point theorems ⋮ On new coincidence points results for a mapping and a relation approach to the integral integral equations ⋮ INDUCED PATH POLYNOMIAL OF GRAPHS ⋮ New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations ⋮ Fixed points of generalized cyclic contractions without continuity and application to fractal generation ⋮ Some fixed point theorems in Branciari metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On fuzzy fixed points and an application to ordinary fuzzy differential equations ⋮ Fixed-point theorems for \(\theta-\phi\)-contraction in generalized asymmetric metric spaces ⋮ Some existence results for a system of nonlinear fractional differential equations ⋮ Common fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces ⋮ A generalized θ-contraction and related fixed point theorems ⋮ Overall approach to Mizoguchi--Takahashi type fixed point results ⋮ Some theorems for a new type of multivalued contractivemaps on metric space ⋮ Fixed point results for rational orbitally \((\Theta,\delta_b)\)-contractions with an application ⋮ Sequential extended \(S\)-metric spaces and relevant fixed point results with application to nonlinear integral equations ⋮ Recent fixed-point results for \(\theta\)-contraction mappings in rectangular \(M\)-metric spaces with supportive application ⋮ Generalized contractions with triangular \(\alpha\)-orbital admissible mapping on Branciari metric spaces ⋮ On nonlinear set-valued \(\theta\)-contractions ⋮ Revisiting Meir-Keeler type fixed operators on Branciari distance space ⋮ Generalized multivalued Khan-type \((\psi ,\phi )\)-contractions in complete metric spaces ⋮ Solutions of boundary value problems on extended-Branciari \(b\)-distance ⋮ Meir-Keeler contraction in rectangular \(M\)-metric space ⋮ New contractive mappings and their fixed points in Branciari metric spaces ⋮ Hybrid multivalued type contraction mappings in \(\alpha_K\)-complete partial \(b\)-metric spaces and applications ⋮ Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space ⋮ Fixed point results for generalized \((\alpha, \psi)\)-contraction mapping in rectangular \(b\)-metric spaces ⋮ A new perspective for multivalued weakly Picard operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations
- Fixed points of a new type of contractive mappings in complete metric spaces
- Fixed points for \((\psi,\varphi)\)-weakly contractive mappings in generalized metric spaces
- Common fixed points in generalized metric spaces
- On cone metric spaces: a survey
- On a general class of multi-valued weakly Picard mappings
- Multi-valued nonlinear contraction mappings
- On Branciari's theorem for weakly compatible mappings
- Fixed point theorems for multivalued mappings on complete metric spaces
- Fixed points results for \(\alpha\)-admissible mapping of integral type on generalized metric spaces
- Discussion on \(\alpha\)-\(\psi\) contractions on generalized metric spaces
- Fixed point theorems for a broad class of multimaps
- Fixed points of asymptotic contractions
- Generalized metrics and Caristi's theorem
- A new generalization of the Banach contraction principle
- Fixed-point theorem for asymptotic contractions of Meir--Keeler type in complete metric spaces
- Multi-valued contraction mappings
- A theorem on contraction mappings
- THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE
- CONTRACTIONS OVER GENERALIZED METRIC SPACES
- Fixed point theory in modular function spaces
- A Note on Contractive Mappings
- A Generalization of Banach's Contraction Principle
- Fixed point results for generalized contractions in gauge spaces and applications
- An Approach to Fixed-Point Theorems on Uniform Spaces
- An extension of multi-valued contraction mappings and fixed points
- A fixed point theorem for set valued mappings
- On Nonlinear Contractions
This page was built for publication: Further generalizations of the Banach contraction principle