The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
From MaRDI portal
Publication:1961314
DOI10.1016/S0362-546X(98)00225-9zbMath1068.47072OpenAlexW1989321116WikidataQ126773204 ScholiaQ126773204MaRDI QIDQ1961314
Brailey Sims, William A. Kirk, George Xian-Zhi Yuan
Publication date: 2000
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00225-9
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Programming in abstract spaces (90C48) General equilibrium theory (91B50)
Related Items (30)
A survey on measures of noncompactness with some applications in infinite systems of differential equations ⋮ Collectively fixed point theorems in noncompact abstract convex spaces with applications ⋮ Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ A new KKM theorem in \(L\)-convex spaces and some applications ⋮ Some applications of the KKM-mapping principle in hyperconvex metric spaces ⋮ A minimax inequality and its applications to fixed point theorems in CAT(0) spaces ⋮ Weak KKM set-valued mappings in hyperconvex metric spaces ⋮ Best and coupled best approximation theorems in abstract convex metric spaces ⋮ Remarks on some basic concepts in the KKM theory ⋮ Comments on some fixed point theorems in hyperconvex metric spaces. ⋮ Improving KKM theory on general metric type spaces ⋮ Generalized KKM theorems on hyperconvex metric spaces and some applications ⋮ Generalized 2-KKM theorems and their applications in hyperconvex metric spaces ⋮ Common fixed points of set-valued mappings in hyperconvex metric spaces ⋮ Some results for the family 2-gKKM\((X,Y)\) and the \(\Phi\)-mapping in hyperconvex metric spaces ⋮ KKM mappings in metric spaces ⋮ Generalized KKM theorems and common fixed point theorems ⋮ A best approximation theorem for nonexpansive set-valued mappings in hyperconvex metric spaces ⋮ On best approximations in hyperconvex spaces ⋮ Best approximation and fixed point theorems in hyperconvex metric spaces ⋮ Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces ⋮ A best approximation theorem in hyperconvex metric spaces ⋮ Best proximity pairs theorems for continuous set-valued maps ⋮ Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces ⋮ The 2-KKM property and its applications in hyperconvex metric spaces ⋮ Some Nonlinear Problems in Hyperconvex Metric Spaces ⋮ On Continuous Selection Problems for Multivalued Mappings with the Local Intersection Property in Hyperconvex Metric Spaces ⋮ Generalized 2-\(_gKKM\) property in a hyperconvex metric space and its applications ⋮ Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
This page was built for publication: The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
