On best proximity point theorems without ordering

DOI10.1155/2014/130439zbMath1429.90055OpenAlexW2049760138WikidataQ59035329 ScholiaQ59035329MaRDI QIDQ1722132

A. P. Farajzadeh, Kasamsuk Ungchittrakool, Somyot Plubtieng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/130439

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (3)

A new smoothing modified three-term conjugate gradient method for \(l_1\)-norm minimization problem ⋮ A best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces ⋮ Best proximity point theorems via proximal non-self mappings

Cites Work

• Best proximity points: Global optimal approximate solutions
• Common best proximity points: Global optimal solutions
• Best proximity point theorems generalizing the contraction principle
• Global optimal approximate solutions
• Existence and convergence of best proximity points
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• Common best proximity points: global minimal solutions
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity point theorems on partially ordered sets
• Best proximity points for cyclic Meir-Keeler contractions
• Extensions of two fixed point theorems of F. E. Browder
• Best proximity pair theorems for relatively nonexpansive mappings
• Extensions of Banach's Contraction Principle

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