Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances
DOI10.1186/1687-1812-2012-176zbMath1469.54203OpenAlexW2147096529WikidataQ59272610 ScholiaQ59272610MaRDI QIDQ385689
Kazimierz Włodarczyk, Raobert Plebaniak
Publication date: 2 December 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2012-176
fixed pointendpointdynamic processgeneralized pseudodistancecone uniform spacecontraction of Nadler typeset-valued dynamic system
Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Uniform structures and generalizations (54E15)
Related Items (7)
Cites Work
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- Kannan-type contractions and fixed points in uniform spaces
- Generalized uniform spaces, uniformly locally contractive set-valued dynamic systems and fixed points
- Gregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spaces
- Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
- On set-valued contractions of Nadler type in cone metric spaces
- A fixed point theorem of Subrahmanyam type in uniform spaces with generalized pseudodistances
- Fixed point results in quasimetric spaces
- Quasigauge spaces with generalized quasipseudodistances and periodic points of dissipative set-valued dynamic systems
- Contractivity of leader type and fixed points in uniform spaces with generalized pseudodistances
- Common fixed point theorem for hybrid generalized multi-valued contraction mappings
- Common fixed point theorem for cyclic generalized multi-valued contraction mappings
- Leader type contractions, periodic and fixed points and new completivity in quasi-gauge spaces with generalized quasi-pseudodistances
- On the equivalence of the Mizoguchi-Takahashi fixed point theorem to Nadler's theorem
- A general maximality principle and a fixed point theorem in uniform space
- Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
- Generic existence and approximation of fixed points for nonexpansive set-valued maps
- Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions
- Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
- Multi-valued nonlinear contraction mappings
- Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
- Periodic point, endpoint, and convergence theorems for dissipative set-valued dynamic systems with generalized pseudodistances in cone uniform and uniform spaces
- Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances
- Fixed point results for set-valued contractions by altering distances in complete metric spaces
- Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
- Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms
- Fixed point theorems for multivalued mappings on complete metric spaces
- Caristi's fixed point theorem and selections of set-valued contractions
- Fixed point theorems and characterizations of metric completeness
- Generic existence of fixed points for set-valued mappings
- Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type
- Fixed point theorems for set-valued contractions in complete metric spaces
- Nadler's type principle with high order of convergence
- Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions
- Several fixed point theorems concerning \(\tau\)-distance
- Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's
- Multi-valued contraction mappings
- Some problems and results in fixed point theory
- Fixed Points and Stationary Points of Dissipative Multivalued Maps
- An extension of multi-valued contraction mappings and fixed points
- Generalized distance and existence theorems in complete metric spaces
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