On weak contractive cyclic maps in generalized metric spaces and some related results on best proximity points and fixed points

DOI10.1155/2016/4186960zbMath1417.54024OpenAlexW2338411163WikidataQ57674689 ScholiaQ57674689MaRDI QIDQ1726062

Manuel de la Sen

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4186960

zbMATH Keywords

fixed pointgeneralized metric spacebest proximity pointMeir-Keeler functionsconvergence of sequences to limit cyclesweak contractive cyclic map

Mathematics Subject Classification ID

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

Cites Work

• On a cyclic Jungck modified \(TS\)-iterative procedure with application examples
• Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets
• A convexity of functions on convex metric spaces of Takahashi and applications
• Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type
• On best proximity point theorems and fixed point theorems for \(p\)-cyclic hybrid self-mappings in Banach spaces
• Periodic points for the weak contraction mappings in complete generalized metric spaces
• Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Uniformly convex metric spaces
• Some results on best proximity points of cyclic contractions in probabilistic metric spaces
• Existence and convergence of best proximity points
• Generalized metric spaces: a survey
• Fixed points for multivalued mappings in uniformly convex metric spaces
• Best proximity points of cyclic \(\varphi\)-contractions on reflexive Banach spaces
• Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
• Convergence and existence results for best proximity points
• Chebyshev centers and uniform convexity
• Fixed points of multivalued mappings in certain convex metric spaces
• Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations
• Fixed point theorems of generalized cyclic orbital Meir-Keeler contractions
• Best proximity point theorems via proximal non-self mappings
• Best proximity point theorems with Suzuki distances
• Existence of periodic fixed point theorems in the setting of generalized quasi-metric spaces
• A generalized metric space and related fixed point theorems
• Best proximity points for cyclic Meir-Keeler contractions
• Normal structure in Banach spaces
• A theorem on contraction mappings
• A convexity in metric space and nonexpansive mappings. I.
• On the asymptotic hyperstability of switched systems under integral-type feedback regulation Popovian constraints
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On weak contractive cyclic maps in generalized metric spaces and some related results on best proximity points and fixed points