Fixed point index for $G$-equivariant multivalued maps

Fixed point theory for permissible extension type maps

“…In Section 2 we present new results on fixed point theory for permissible extension type maps, in particular for compact metric spaces and either strongly N E S(compact metric) maps or strongly AN E S(compact metric) maps.These results improve those in the literature; see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the references therein.…”

“…Let X be a Hausdorff topological space and let a map be determined by If : X → X is a Lefschetz map as described above then we define the Lefschetz number (see [7]) ( ) (or X ( )) by…”

Lefschetz fixed point theorem for acyclic maps with multiplicity

“…(2) (1, n)-maps F , with n ≡ 1 mod 2, are m-acyclic maps w.r.t. the field F 2 and multiplicity function m(x, C(x)) = 1 for all (x, C(x)) ∈ G(F ) (see [15] and [33]).…”

“…m-acyclic maps. (n − wA)-systems are a generalization of approximative systems, or A-systems, discussed in [36], [19, Chapter IV], [15] for u.s.c. acyclic, and for m-acyclic multivalued maps in [21].…”

Fixed point index for composite type maps

“…In addition we introduce a new class of maps (motivated from [7,9]) which we call the SJ c maps. The index for J c maps in the literature [4] has the advantage that no knowledge of homology theory is involved to construct the index.…”