We study the Fadell–Husseini index of the configuration space F (R, n) with respect to different subgroups of the symmetric group Sn. For p prime and k ≥ 1, we completely determine IndexZ/p(F (R, p);Fp) and partially describe Index(Z/p)k (F (R, p);Fp). In this process we obtain results of independent interest, including: (1) an extended equivariant Goresky–MacPherson formula, (2) a complete des...

*Correspondence: [email protected] 2Department of Mathematics, University of Jaén, Jaén, Spain Full list of author information is available at the end of the article Abstract In this paper, we prove some coupled coincidence point theorems in fuzzy normed spaces. Our results improve and restate the proof lines of the main results given in the papers (Eshaghi Gordji et al. in Math. Comput. Model....

This paper is motivated by a recent analysis by Walsh (2002) of subsidence above a planar reservoir. Although the problem has been treated previously by Geertsma (1966, 1973a, b) and Segall (1992), Walsh (2002) uses a different approach. In particular, he uses a cut and weld procedure, originated by Eshelby (1957), and the reciprocal theorem of elasticity. Walsh obtains the same results as Geer...

A fixed-point theorem on compact compositions of acyclic maps on admissible (in the sense of Klee) convex subset of a t.v.s. is applied to obtain a cyclic coincidence theorem for acyclic maps, generalized “onNeumann type intersection theorems, the Nash type equilibrium theorems, and the “onNeumann minimax theorem. Our new results generalize earlier works of Lassonde [l], Simons [2], and Park [3...

Kaneko and Sessa defined the concept of compatibility for multivalued mappings with Hausdorff metric and proved a coincidence point theorem. After then, Pathak defined the concept of weak compatibility and proved a coincidence theorem. In the present work, we define a new type compatibility for multivalued mappings with Hausdorff metric. This new type compatibility is different from compatibili...