the main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. next, we obtain cone $b$-metric version of these results by using a scalarization function. our results extend and generalize several well known comparable results in the existing literature.

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...

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) ...

*Correspondence: [email protected] Department of Mathematics, King Abdulaziz University, P.O. Box: 80203, Jeddah, 21589, Saudi Arabia Abstract In this paper, we prove some coupled fixed point results for (φ ,φ)-weakly contractive mappings in ordered partial metric spaces. As an application, we establish coupled coincidence results without any type of commutativity of the concerned maps. Cons...

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand 2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok, 10400, Thailand Abstract In this paper, we establish some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings having the mixed monotone property in par...