In this paper, we consider variational inequality problem over the product of sets which is equivalent to the problem of system of variational inequalities. These two problems are studied for single valued maps as well as for multivalued maps. New concept of pseudomonotonicity in the sense of Brézis is introduced to prove the existence of a solution of our problems. As an application of our res...

in this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. presented theoremsextend and improve the main results of abbas and$acute{c}$iri$acute{c}$ {itshape et al.} [m. abbas, l.$acute{c}$iri$acute{c}$, {itshape et al.}, coupled coincidenceand common fixed point theorems for hybr...

A common coincidence point theorem for R-weakly commuting mappings is obtained. Our result extend several ones existing in literature. 2000 Mathematics Subject Classification. 54H25.

Let Y be a finite connected complex and p : Y →N a fibration over a compact nilmanifold N . For any finite complex X and maps f ,g : X → Y , we show that the Nielsen coincidence number N( f ,g) vanishes if the Reidemeister coincidence number R(p f , pg) is infinite. If, in addition, Y is a compact manifold and g is the constant map at a point a∈ Y , then f is deformable to a map f̂ : X → Y such ...

Let f, g : X → G/K be maps from a closed connected orientable manifold X to an orientable coset space M = G/K where G is a compact connected Lie group, K a closed subgroup and dimX = dimM . In this paper, we show that if L(f, g) = 0 then N(f, g) = 0; if L(f, g) 6= 0 then N(f, g) = R(f, g) where L(f, g), N(f, g), and R(f, g) denote the Lefschetz, Nielsen, and Reidemeister coincidence numbers of ...

Transitions between states up to spin 16' populated in the ' Nd(a, 4n) reaction were observed using y-y coincidence, y-ray angular distribution and excitation function, and delayed y-ray measurements. A level scheme was constructed up to 6.2 MeV with all levels above 3.8 MeV observed for the first time. Levels below 4.1 MeU were interpreted in terms of the coupling between two extra-core neutro...

In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X×X×X → X and g : X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.

*Correspondence: [email protected]; [email protected] 3Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand Full list of author information is available at the end of the article Abstract In this paper, we introduce the concepts ofW-compatible mappings for mappings F : X × X × X → X and g : X → X , where (X ,d) ...