In this article we present a variant of the basic result of "T. Gnana. Bhaskar and V. Lakshmikanthan, Fixed point theorem in partially ordered metric spaces and applications, Nonlinear Anal. TMA, 65 (2006), 1379–1393." to …nd the coupled …xed points of multivalued mappings without mixed monotone property in cone metric space involving non-normal cones. As applications we prove the existence of ...

Abstract. In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for BoydWong type nonlinear contractions satisfying generalized mixed monotone property in ordered metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled ...

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...

We study a flow network model for vehicular traffic that captures congestion effects at diverging junctions. Standard approaches which rely on monotonicity of the flow dynamics do not immediately apply to such first-in-first-out models. The network model nonetheless exhibits a mixed monotonicity property. Mixed monotonicity enables the original system to be embedded in a system of twice the dim...

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. ...

* Correspondence: [email protected] Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Abstract Using the notion of compatible mappings in the setting of a partially ordered metric space, we prove the existence and uniqueness of coupled coincidence points involving a (j, ψ)-contractive condition for a mappings having the mixed g-monotone propert...