Existence of best proximity pairs and equilibrium pairs

DOI10.1016/j.jmaa.2005.04.053zbMath1101.47040OpenAlexW2039421611MaRDI QIDQ819722

Kyoung Hee Lee, Won Kyu Kim

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.053

zbMATH Keywords

fixed pointmaximal elementKakutani factorizable multifunctionbest proximity pairsequilibrium pairsfree abstract economy

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items

Best proximity point results in partially ordered metric spaces via simulation functions ⋮ A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions ⋮ Best proximity points: approximation and optimization in partially ordered metric spaces ⋮ Equilibria of free abstract economies via best proximity point theorems ⋮ Best proximity points of set-valued generalized contractions ⋮ KKM-type theorems for best proximity points ⋮ Best proximity points of contractive mappings on a metric space with a graph and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space ⋮ Some results on the best proximity pair ⋮ Common best proximity point theorem for multivalued mappings in partially ordered metric spaces ⋮ A characterization of strictly convex spaces and applications ⋮ On general best proximity pairs and equilibrium pairs in free abstract economies ⋮ Best proximity points for generalized proximal weak contractions in partially ordered metric spaces ⋮ Approximating best proximity points for Reich type non-self nonexpansive mappings ⋮ On best proximity pair theorems for relatively \(u\)-continuous mappings ⋮ A best proximity point theorem for weakly contractive non-self-mappings ⋮ Coupled best proximity points in ordered metric spaces ⋮ Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets ⋮ Best proximity pairs and equilibrium pairs for Kakutani multimaps ⋮ Best proximity pairs theorems for continuous set-valued maps ⋮ Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Best proximity sets and equilibrium pairs for a finite family of multimaps ⋮ Best proximity points for generalized proximal weak contractions satisfying rational expression on ordered metric spaces ⋮ Existence and convergence theorems for global minimization of best proximity points in Hilbert spaces ⋮ Unnamed Item ⋮ Best proximity point theorems for cyclic p-contractions with some consequences and applications ⋮ Best proximity point for the sum of two non-self-operators ⋮ Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces ⋮ Best Proximity Points ⋮ Modular best proximity and equilibrium pairs in free generalized games ⋮ On a New Class of Systems of Generalized Quasi-Variational Inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of maximal elements and equilibria in linear topological spaces
• Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
• Equilibrium in abstract economies without ordered preferences
• Approximate selections, best approximations, fixed points, and invariant sets
• The existence of Nash equilibrium in \(n\)-person games with \(\mathcal C\)-concavity.
• On best proximity pair theorems and fixed-point theorems
• Best proximity pair theorems for multifunctions with open fibres
• On existence of equilibrium pair for constrained generalized games
• Extensions of two fixed point theorems of F. E. Browder
• Fixed points for Kakutani factorizable multifunctions
• Non-cooperative games
• MARKET EQUILIBRIUM
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• Some extensions of fan's best approximation theorem
• Equilibrium points in n -person games