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Advances in Nonlinear Analysis, ISSN 2191-9496, 08/2018, Volume 7, Issue 3, pp. 307 - 311
Journal Article
Journal of Mathematical Economics, ISSN 0304-4068, 12/2014, Volume 55, Issue 1, pp. 186 - 189
Let X be a convex subset of a locally convex topological vector space, let U⊂X be open with U¯ compact, let F:U¯→X be an upper semicontinuous convex valued correspondence with no fixed points in U... 
Fixed point index | Kohlberg–Mertens stability | Fixed points | Stochastic games | Essential sets | Homotopy | Kohlberg-Mertens stability | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EQUILIBRIA | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS
Journal Article
Order, ISSN 0167-8094, 11/2015, Volume 32, Issue 3, pp. 301 - 311
A topological space has the fixed point property if every continuous self-map of that space has at least one fixed point... 
Geometry | Discrete Mathematics in Computer Science | Finite poset | Homotopy | Kolmogorov space | Mathematics | Theory of Computation | Fixed point property | MATHEMATICS | PRODUCTS | THEOREM | PARTIALLY ORDERED SETS
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2009, Volume 222, Issue 1, pp. 151 - 171
In this paper, when G is the circle S 1 and M is a G-space, we study the rational homotopy type of the fixed point set M G , the homotopy fixed point set M h G... 
Space of sections | Fixed point set | Homotopy fixed point set | Rational homotopy | BUNDLE | MATHEMATICS | FUNCTION-SPACES | MAPS
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 20
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2011, Volume 377, Issue 2, pp. 683 - 694
In this paper, a boundary perturbation interior point homotopy method is proposed to give a constructive proof of the general Brouwer fixed point theorem and thus solve fixed point problems in a class of nonconvex sets... 
Nonconvex sets | Brouwer fixed point theorem | Boundary perturbation interior point homotopy method | Initial points | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | CONSTRUCTIVE PROOF | Analysis | Methods | Algorithms
Journal Article
Journal of the European Mathematical Society : JEMS, ISSN 1435-9855, 2020, Volume 22, Issue 6, pp. 1971 - 2046
We consider self-homeomorphisms h of some surface S. A subset F of the fixed point set of h is said to be unlinked if there is an isotopy from the identity to h that fixes every point of F... 
EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | HOMEOMORPHISMS | Surface homeomorphism | 2-MANIFOLDS | fixed point | RESIDUAL FINITENESS | isotopy | TRANSVERSE | homotopy | CURVES
Journal Article
1988, Lecture notes in mathematics, ISBN 3540501878, Volume 1343, 147
..., continuous submersions, and fibre bundles. It thus addresses equivariant point set topology as well as equivariant homotopy theory... 
Fixed point theory | Homotopy theory | Mappings (Mathematics) | Algebraic topology
Book
2006, Topological fixed point theory and its applications, ISBN 9781402039300, Volume 3, xi, 319
.... A modern exposition of the classical topological fixed-point theory with a complete set of all the necessary notions as well as new proofs of the Lefschetz-Hopf and Wecken theorems are included... 
Fixed point theory | Homotopy theory | Algebraic topology | Dynamical Systems and Ergodic Theory | Algebraic Topology | Mathematics
Book
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2019, Volume 2019, Issue 1, pp. 1 - 8
As is well known, fixed point theorems and problems play important roles in differential equations, mathematical programming, control, and so on... 
34B15 | 35A01 | 39B05 | Mathematics | Constructive proofs | 90C30 | Inequality techniques | Analysis | Mathematics, general | 65H10 | Applications of Mathematics | Fixed point problems | Homotopy methods | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | CONSTRUCTIVE PROOF | CONVERGENCE | Fixed points (mathematics) | Convexity | Differential equations | Mathematical programming
Journal Article
Mathematics (Basel), ISSN 2227-7390, 06/2020, Volume 8, Issue 6, p. 921
The present paper investigates digital topological properties of an alignment of fixed point sets which can play an important role in fixed point theory from the viewpoints of computational or digital topology... 
digital image | k-contractibility | alignment | k-homotopy | digital wedge | normal adjacency
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 14
Journal Article
Lobachevskii Journal of Mathematics, ISSN 1995-0802, 11/2017, Volume 38, Issue 6, pp. 1069 - 1074
In this paper sufficient conditions are presented for the least element existence in the common fixed point set of a family of multivalued mappings on ordered sets... 
Geometry | Algebra | order-homotopy | concordantly isotone mappings | Common fixed point | Analysis | Mathematics, general | Probability Theory and Stochastic Processes | Mathematics | partial order | Mathematical Logic and Foundations
Journal Article
Mathematical Notes, ISSN 0001-4346, 9/2019, Volume 106, Issue 3, pp. 591 - 601
.... We study the problem as to whether the existence of a fixed point (or a coincidence point... 
fixed point | coincidence point | Mathematics, general | Mathematics | multivalued homotopy | ordered set | pair of equilibrium strategies
Journal Article
TOPOLOGY AND ITS APPLICATIONS, ISSN 0166-8641, 08/2014, Volume 173, pp. 240 - 263
The main purpose of this work is to study the minimal fixed point set of fiber-preserving maps for spaces which are fiber bundles over the circle and the fiber is the torus... 
MATHEMATICS | MATHEMATICS, APPLIED | Fiberwise homotopy | Fiber bundle | One-parameter fixed point theory | Minimal fixed point set
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2011, Volume 218, Issue 6, pp. 2398 - 2406
In this paper, common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved... 
Coincidence point | Partial metric space | Common fixed point | Homotopy | Weakly compatible pair of mappings | MATHEMATICS, APPLIED | THEOREM | Mechanical engineering | Operators | Theorems | Fixed points (mathematics) | Metric space | Computation | Nonlinearity | Mathematical models | Mapping | Topology
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2018, Volume 328, pp. 302 - 313
The purpose of this paper is to obtain some common fixed point results for two mappings satisfying various contractive conditions in metric-like spaces... 
Metric-like spaces | Coincidence point | Common fixed point | Adomian | Homotopy | MATHEMATICS, APPLIED | SET | FIXED-POINTS | CONTRACTIONS
Journal Article
Nonlinear analysis, ISSN 0362-546X, 2009, Volume 70, Issue 9, pp. 3371 - 3377
...) of the fixed point theory for a new type contractive multivalued operator. The results complement and extend some very recent results proved by M. Kikkawa... 
Generalized contraction | Multivalued operator | Data dependence | Homotopy result | Multivalued weakly Picard operator | Nonself multivalued operator | Fixed point | Strict fixed point | Well-posedness | MATHEMATICS, APPLIED | SET | METRIC-SPACES | MATHEMATICS
Journal Article
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