In 1996, Kada et al. 1 introduced the notion of w-distance. They elaborated, with the help of examples, that the concept of w-distance is general than that of metric on a nonempty set. They also proved a generalization of Caristi fixed point theorem employing the definition of w-distance on a complete metric space. Recently, Ilić and Rakočević 2 obtained fixed point and common fixed point theor...

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 ...

The aim of this paper is to prove coupled coincidence and coupled common fixed point theorems for a mixed g-monotone mapping satisfying nonlinear contractive conditions in the setting of partially ordered G-metric spaces. Present theorems are true generalizations of the recent results of Choudhury and Maity [Math Comput. Modelling 54 (2011), 73–79], and Luong and Thuan [Math. Comput. Modelling ...

In this article, we prove coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in complete quasi-metric spaces without the mixed g-monotone property, using the concept of invariant condition, together with transitivity with a Qfunction q. We also provide illustrative examples in support of our new results. 2206 Sachin V. Bedre, S. M. Khairnar and B. S. ...

The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a mixed g-monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend sever...

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

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 ...