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Colourings of lattices and coincidence site lattices
Colourings of lattices coincidence site lattices
2010/11/9
The relationship between the coincidence indices of a lattice $\Gamma_1$ and a sublattice $\Gamma_2$ of $\Gamma_1$ is examined via the colouring of $\Gamma_1$ that is obtained by assigning a unique c...
Coincidence sets in quasilinear elliptic problems of monostable type
Coincidence sets quasilinear elliptic problems of monostable type
2010/12/7
This paper concerns the formation of a coincidence set for the positive solution of the boundary value problem: −"pu = uq−1 f (a(x)−u) in with u = 0 on @ , where " is a positive pa...
Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces
continuous selection collectively fixed point $FC$-space
2007/12/11
Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-...
Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces
admissible set-valued mapping generalized $R$-KKM mapping transfer compactly open-valued compactly local intersection property multiobjective game
2007/12/11
Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approx...
A coincidence point theorem for anew class of densifying mappings is obtained. Our result generalizes many previously known theorems and can be regarded as an extension of Jungck's fixed point theorem...