scientific article; zbMATH DE number 7541408

Publication date: 14 June 2022

Full work available at URL: http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/690

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KKM theorem abstract convex space \(\mathfrak{KO}\)\(\mathfrak{A}^\kappa_c\)\(\mathfrak{B}\)\(\mathfrak{K}\)\(\mathfrak{KC}\)KKM class of multimaps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04)

Cites Work

Coincidence theorems and minimax inequalities in abstract convex spaces
Coincidence and maximal element theorems in abstract convex spaces with applications
Approximate fixed point theorems for the generalized \(\varPsi \)-set contraction mappings on an almost \(\varPhi \)-space
A generalization of Tychonoff's fixed point theorem
On the use of KKM multifunctions in fixed point theory and related topics
Contractibility and generalized convexity
Generalized vector equilibrium problems for pseudomonotone multivalued bifunctions
KKM property and fixed point theorems in metric spaces
Fixed point theorems for the class S-KKM mappings in abstract convex spaces
Some results for the family KKM\((X,Y)\) and the \(\Phi\)-mapping
Fixed point theorems for the \(\varPsi\)-set contraction mapping on almost convex sets
Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities
Generalized KKM theorems on hyperconvex metric spaces and some applications
Some results for the family 2-gKKM\((X,Y)\) and the \(\Phi\)-mapping in hyperconvex metric spaces
Equilibrium existence theorems in KKM spaces
KKM mappings in metric type spaces
KKM property, \(S\)-KKM property and fixed point theorems
Best proximity sets and equilibrium pairs for a finite family of multimaps
Generalized KKM theorems on hyperconvex metric spaces with applications
Coincidence theorems on nonconvex sets and its applications
Fixed point theorems for a weaker Meir-Keeler type \(\psi \)-set contraction in metric spaces
Generalized 2-\(_gKKM\) property in a hyperconvex metric space and its applications
KKM mappings in cone metric spaces and some fixed point theorems
Some applications of the Kakutani fixed point theorem
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Extension and selection theorems in topological spaces with a generalized convexity structure
KKM and Ky Fan theorems in hyperconvex metric spaces
Foundations of the KKM theory on generalized convex spaces
Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems
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Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space
KKM mappings in metric spaces
KKM property and fixed point theorems
Generalizations of Ky Fan's matching theorems and their applications
Coincidence theorems for admissible multifunctions on generalized convex spaces
On the Brézis Nirenberg Stampacchia-type theorems and their applications
Collectively fixed point theorems in noncompact abstract convex spaces with applications
A collectively fixed point theorem in abstract convex spaces and its applications
Topological aspects of circular metric spaces and some observations on the KKM property towards quasi-equilibrium problems
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Fixed point theorems for multifunctions having KKM property on almost convex sets
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Remarks on fixed points, maximal elements, and equilibria of economies in abstract convex spaces
COINCIDENCE THEOREMS FOR NONCOMPACT ℜℭ-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONS
MATCHING THEOREMS AND SIMULTANEOUS RELATION PROBLEMS
Common fixed point theorems and minimax inequalities in locally convex Hausdorff topological vector spaces
S-KKM theorems, saddle points and minimax inequalities
SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
Coincidence theorems for the better admissible multimaps and their applications
FIXED-POINT THEORY FOR k-SET CONTRACTION
On various multimap classes in the KKM theory and their applications
REMARKS ON THE KKM PROPERTY FOR OPEN-VALUED MULTIMAPS ON GENERALIZED CONVEX SPACES
ELEMENTS OF THE KKM THEORY ON CONVEX SPACES
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