Tripartite coincidence-best proximity points and convexity in generalized metric spaces

DOI10.1007/s00574-019-00137-0zbMath1427.54060arXiv1904.10309OpenAlexW2929688022MaRDI QIDQ2279175

M. Norouzian, Ali Abkar

Publication date: 12 December 2019

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10309

zbMATH Keywords

coincidence pointbest proximity pointcyclic contraction\(G\)-metric spacenoncyclic contractionuniformly convex \(G\)-metric space

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items

Kirk type iteration process and convex feasibility problem in CAT(0) space ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition
• Some results on fixed and best proximity points of multivalued cyclic self-mappings with a partial order
• A new approach to fixed point theorems on \(G\)-metric spaces
• Best proximity points: approximation and optimization in partially ordered metric spaces
• Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• Convergence and existence results for best proximity points
• Fixed points of multivalued mappings in certain convex metric spaces
• Best proximity point results in \(G\)-metric spaces
• Best proximity points for cyclic Meir-Keeler contractions
• On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
• Coincidence problems for generalized contractions
• A convexity in metric space and nonexpansive mappings. I.
• Coincidence best proximity points in convex metric spaces
• Tripled best proximity point theorem in metric spaces
• Proximal normal structure and relatively nonexpansive mappings
• Best proximity points for cyclic mappings in ordered metric spaces