On fixed point theorems of mixed monotone operators and applications
Keywords: 47H10; 47J35Fixed points; Mixed monotone operators; Cone; Partial order
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Strong convergence theorems for finitely many nonexpansive mappings
Keywords: 47H05; 47H10; 47H17Non-expansive mappings; Weakly continuous duality mapping
Iterative construction for common fixed points of finitely many nonexpansive mappings
Keywords: 47H05; 47H10; 47H17Finite family of nonexpansive mappings; Uniformly Gâeaux differentiable norm; Reflexive Banach space
Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
Keywords: 41A50; 41A65; 47H10; 54H25Best approximations; Invariant sets; Best proximity pairs; Nonexpansive mappings; Condensing mappings; Hyperconvex spaces
Fixed point theory for a new type of contractive multivalued operators
Keywords: 47H10; 54H25Multivalued operator; Fixed point; Strict fixed point; Multivalued weakly Picard operator; Data dependence; Nonself multivalued operator; Homotopy result; Well-posedness; Generalized contraction
On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
Keywords: 47H10; 47H09Quasi-nonexpansive multimap; Nonexpansive multi-valued map; Fixed point; Strong convergence; Banach space
Quicksort algorithm: Application of a fixed point theorem in intuitionistic fuzzy quasi-metric spaces at a domain of words
Keywords: 47H10; 54E50Domain of words; Quicksort algorithms; Intuitionistic fuzzy metric spaces; Completeness; Fixed point theorem
Halpern iteration for firmly type nonexpansive mappings
Keywords: 49J30; 47H10; 47H17; 90C99; 47H06; 47J05; 47J25; 47H09Firmly type nonexpansive mappings; Halpern iteration; Uniformly Gâteaux differentiable norm
Viscosity approximation to common fixed points of a nonexpansive semigroup with a generalized contraction mapping
Keywords: 47H09; 47H10; 47H20; 47J25Fixed point; Viscosity approximation; Nonexpansive semigroup; Strong convergence; Meir–Keeler type mapping; Reflexive Banach space
Existence of unbounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains
Keywords: 47H10; 35J60; 34A34; Positive solution; Quasilinear elliptic equations; Fixed point theory;
Equivalent theorems of the convergence between proximal type algorithms
Keywords: 47H06; 47J05; 47J25; 47H10; 47H17Rockafellar type proximal point algorithms; Viscosity approximation methods; Weak contractions; Halpern type iterations; Browder type iterations
Strong convergence theorems for a common zero of a countably infinite family of αα-inverse strongly accretive mappings
Keywords: 47H06; 47H10; 47H15; 47H17αα-inverse strongly accretive mappings; Nonexpansive mappings; Normalized duality mappings; Strictly pseudocontractive mappings; Strictly convex spaces; Uniformly Gâteaux differentiable norm
Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
Keywords: 47H10; 47H09; 46B20Asymptotically nonexpansive nonself-mapping; Weak and strong convergence; Completely continuous; Opial’s condition; Common fixed points
A new iterative algorithm for common solutions of a finite family of accretive operators
Keywords: 47H10; 47H17; 47J25Accretive operator; Resolvent; Pseudocontractive mappings; Uniformly Gâteaux differentiable; Common zeros
Generalized KKM-type theorems in GFC-spaces and applications
Keywords: 47H04; 47H10; 54H25; 55M20GFC-spaces; TT-KKM mappings; Generalized KKM property; Transfer compactly closed-valued (open-valued) mappings; KKM-type theorems; Coincidence theorems
Best proximity pairs and equilibrium pairs for Kakutani multimaps
Keywords: 47H10; 54H25; 91A06Best proximity pair; Equilibrium pair; Free nn-person game; Kakutani multimap; Fixed point
Fixed point results for set-valued contractions by altering distances in complete metric spaces
Keywords: 54H25; 47H10; Complete metric space; Hausdorff metric; Set-valued contraction;
Fixed point results for generalized quasicontraction mappings in abstract metric spaces
Keywords: 47H10; 54H25Generalized quasicontraction mapping; Cone metric space
Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type
Keywords: 47H09; 47H10; 47J05; 65J15; Fixed points; Strictly pseudocontractive maps; Cyclic algorithm; q-uniformly smooth Banach spaces;
The retractions onto the common fixed points of some families and semigroups of mappings
Keywords: 47H09; 47H10; 47H20Amenable semigroups; Common fixed point; Mapping of type (γ)(γ); Nonexpansive mapping; Retraction; Weak limit
Strong convergence of modified Mann iterations for a countable family of nonexpansive mappings
Keywords: 47H09; 47H10; 41A65Strong convergence; Accretive operator; Nonexpansive mapping; Fixed point; Uniformly smooth
A new iterative process for common fixed points of finite families of non-self-asymptotically non-expansive mappings
Keywords: 47H10; 47H09; 46B20Asymptotically non-expansive non-self-mappings; Common fixed points; Weak and strong convergence
On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces
Keywords: 47H09; 47H10; 47J25Strictly pseudo-contractive mapping; Non-expansive mapping; Common fixed point; Banach space
Iterative convergence to Cesàro means for continuous pseudocontractive mappings
Keywords: 47H05; 47H10; 47H17Continuous pseudocontractive mapping; Cesàro means; Weakly sequentially continuous duality mapping; Uniformly Gâteaux differentiable
A generalized mixed vector variational-like inequality problem
Keywords: 49J40; 47H10; 47H17Hausdorff metric; HH-hemicontinuous; Relaxed ηη-αα-PP-monotone; ηη-complete semicontinuity; ηη-strong semicontinuity
Generalized mixed variational-like inequality for random fuzzy mappings
Keywords: 47J40; 47H10; 49M05Generalized mixed variational-like inequality; Auxiliary problem; Iterative algorithm; Convergence analysis
Quasi-asymptotic contractions, set-valued dynamic systems, uniqueness of endpoints and generalized pseudodistances in uniform spaces
Keywords: 54C60; 47H10; 54E15; 46A03; 54E50Quasi-asymptotic contraction; Uniqueness of endpoint; Set-valued dynamic system; Family of generalized pseudodistances; Uniform space; Locally convex space; Metric space; Closed map; Upper semicontinuous map; Generalized s
Convergence of iterative algorithms for multivalued mappings in Banach spaces
Keywords: 47H06; 47J05; 47J25; 47H10; 47H17Multivalued nonexpansive mapping; Mann iteration; Modified Mann iteration
On relaxed viscosity iterative methods for variational inequalities in Banach spaces
Keywords: 49J40; 47H10; 47J20; 47J30; 65K10Variational inequalities; Relaxed viscosity approximation method; Nonexpansive mapping; Strong convergence; Common fixed points; Uniformly Gâteaux differentiable norm
Fixed point properties and proximinality in Banach spaces
Keywords: 47H10; 47H09; 46B20Fixed points; Nonexpansive mappings; Mappings admitting a center; Weak star topology
Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions
Keywords: 47H10; 54E15; 54C60; 46B40; 46A03Cone uniform space; Cone pseudometric; Cone pseudodistance; Quasi-asymptotic contraction; Uniqueness of endpoint; Set-valued dynamic system; Cone locally convex space; Cone metric space; Cone closed map; Generalized sequen
Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
Keywords: 54C60; 47H10; 54E15; 46A03; 54E50Cyclic and noncyclic set-valued dynamic systems; Relatively quasi-asymptotic contraction; Best proximity point; Family of generalized pseudodistances; Uniform space; Locally convex space; Metric space; Closed map; Upper se
Convergence of composite iterative methods for finding zeros of accretive operators
Keywords: 47H06; 47H10; 47J20; 47J25; 49M05Accretive operators; Resolvents; Composite iterative schemes; Viscosity approximation methods; Zeros, reflexive, strictly convex; Uniformly Gâteaux differentiable norm
Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
Keywords: 47H05; 47H09; 47H10; 47J25; 65J15Strong convergence; Equilibrium problem; Quasi-ϕϕ-nonexpansive mapping; Banach space
Strong convergence of iteration algorithms for a countable family of nonexpansive mappings
Keywords: 47H06; 47J05; 47J25; 47H10; 47H17Countable family of nonexpansive mappings; Halpern type iteration; Uniformly Gâteaux differentiable; Reflexive Banach space
An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems
Keywords: 49J30; 47H10; 47H17; 49M05; 90C25; 90C99Mixed equilibrium problem; Fixed point; Nonexpansive mapping; Variational inequality
Local asymptotic attractivity for nonlinear quadratic functional integral equations
Keywords: 47H10; 34A60Quadratic functional integral equation; Fixed point theorem; Local asymptotic attractive solutions
Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications
Keywords: 49J40; 47H04; 91B50; 47H10; 54H25Maximal elements; Nonempty intersections; Coincidence points; Solution existence; GFC-spaces; KKM mappings; Mixed systems of inclusions; Quasi-optimization; Mathematical programs constrained by inclusions
Iterative algorithms for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of families and semigroups of nonexpansive mappings
Keywords: 47H09; 47H10; 47J20; 43A07; 47H20Amenable semigroup; Common fixed point; Equilibrium problem; Iterative algorithm; Nonexpansive mapping; Projection; Variational inequality; Viscosity approximation
Existence of vector mixed variational inequalities in Banach spaces
Keywords: 49J40; 90C29; 47H10; 47H17Vector mixed variational inequality; Ky Fan’s lemma; Hausdorff metric; Brouwer’s fixed point theorem; Composite monotonicity; Compositely complete semicontinuity
A Hausdorff metric inequality with applications to the existence of essential components
Keywords: 54C60; 47H10; 91A10Hausdorff metric inequality; Essential component; KKM point; Ky Fan’s section theorem; Nash equilibrium point
A fixed point theorem for discontinuous functions
Keywords: 47H10; 65K10; 91A10Fixed point; Simplicial subdivision; Discontinuity; Discontinuous games
Generalized 2-KKM theorems and their applications in hyperconvex metric spaces
Keywords: 47H10; 54C60; 54H25; 55M20Hyperconvex metric space; 2-KKM mapping; Fixed point theorem; Variational inequality theorem; Minimax inequality theorem
There is an equivalent norm on ℓ1ℓ1 that has the fixed point property
Keywords: 47H10; 47H09Fixed point property; Nonexpansive mapping
Generalized KKM theorems on hyperconvex metric spaces and some applications
Keywords: 47H10; 54C60; 54H25; 55M20Hyperconvex metric space; KKM theorem; Coincidence theorem; Variational inequality theorem; Minimax inequality theorem
Existence of ergodic retractions for semigroups in Banach spaces
Keywords: 47H09; 47H10; 47H20; Nonexpansive mapping; Common fixed point; Quasi-contractive; Retraction;
Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
Keywords: 47H05; 47H10; 47H17Lipschitz pseudocontraction; Iteration algorithm; Convergence theorem
On the steepest descent approximation method for the zeros of generalized accretive operators
Keywords: primary; 47H10; secondary; 47H06; 54H25; Compatible mappings; Common fixed point; Contractive type condition;
Convergence theorems of fixed points for κκ-strict pseudo-contractions in Hilbert spaces
Keywords: 47H05; 47H10; 47H17κκ-Strict pseudo-contraction; Iterative algorithm; Convergence theorem
Banach operator pairs, common fixed-points, invariant approximations, and ∗ -nonexpansive multimaps
Keywords: 41A50; 47H10; 54H25Common fixed-point; Invariant approximation; Banach operator pair; CqCq-commuting pair; II-nonexpansive map; Ciric type map; ∗-nonexpansive multimap; Normed space