Best proximity point results for modified Suzuki \(\alpha\)-\(\psi\)-proximal contractions
From MaRDI portal
Publication:2017397
DOI10.1186/1687-1812-2014-10zbMath1310.41029OpenAlexW2140920753WikidataQ59319540 ScholiaQ59319540MaRDI QIDQ2017397
Abdul Latif, Nawab Hussain, Peyman Salimi
Publication date: 20 March 2015
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-10
best proximity point\(\alpha\)-proximal admissible mapSuzuki \(\alpha\)-\(\psi\)-proximal contraction
Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items
Best proximity results for Suzuki and convex type contractions ⋮ Coincidence Best Proximity Point Results via $$ w_{p}$$-Distance with Applications ⋮ Unnamed Item ⋮ Best proximity point results for Suzuki-Edelstein proximal contractions via auxiliary functions ⋮ Best proximity points of implicit relation type modified \(\alpha^3\)-proximal contractions ⋮ Best proximity points for multi-valued Suzuki \(\alpha\)-\(F\)-proximal contractions ⋮ Existence of best proximity point in quasi partial metric space with an application ⋮ q-ROF mappings and Suzuki type common fixed point results in \(b\)-metric spaces with application ⋮ Unnamed Item ⋮ Best proximity point theorems for cyclic contractions mappings in Banach algebras ⋮ A new approach to fixed point results in triangular intuitionistic fuzzy metric spaces ⋮ Best proximity point results in \(G\)-metric spaces ⋮ Some properties of distances and best proximity points of cyclic proximal contractions in metric spaces ⋮ Convergence properties and fixed points of two general iterative schemes with composed maps in Banach spaces with applications to guaranteed global stability ⋮ alpha-optimal best proximity point result involving proximal contraction mappings in fuzzy metric spaces ⋮ Global best approximate solutions for set-valued cyclic α-F-contractions ⋮ Global optimal solutions for proximal fuzzy contractions involving control functions ⋮ Suzuki-Wardowski type fixed point theorems for \(\alpha\)-gf-contractions ⋮ Existence of the solution to variational inequality, optimization problem, and elliptic boundary value problem through revisited best proximity point results ⋮ Unnamed Item ⋮ Best proximity point results for generalized \(\Theta\)-contractions and application to matrix equations ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings*
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Suzuki-type fixed point results in metric-like spaces
- Suzuki-type fixed point results in metric type spaces
- Some results on best proximity points
- Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
- Best proximity points: approximation and optimization in partially ordered metric spaces
- Some new results on fixed and best proximity points in preordered metric spaces
- Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
- Best proximity point theorems: an exploration of a common solution to approximation and optimization problems
- Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
- A best proximity point theorem for weakly contractive non-self-mappings
- Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces
- Common fixed points of almost generalized contractive mappings in ordered metric spaces
- A new type of fixed point theorem in metric spaces
- Iterative approximation of fixed points
- The existence of best proximity points in metric spaces with the property UC
- Proximal pointwise contraction
- Best proximity pair theorems for multifunctions with open fibres
- Fixed points for \(\psi\)-graphic contractions with application to integral equations
- Best proximity point results for generalized contractions in metric spaces
- Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
- Krasnosel'skii-type fixed point theorems with applications to Volterra integral equations
- Best proximity point results for modified \(\alpha\)-\(\psi\)-proximal rational contractions
- A generalization of the Banach contraction principle with high order of convergence of successive approximations
- Extensions of two fixed point theorems of F. E. Browder
- New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
- Best proximity pair theorems for relatively nonexpansive mappings
- A Generalization to Multifunctions of Fan's Best Approximation Theorem
- Applications of the Best Approximation Operator to *-Nonexpansive Maps in Hilbert Spaces
- A generalized Banach contraction principle that characterizes metric completeness
- Best proximity points for cyclic mappings in ordered metric spaces