Some new results on the existence of coincidence points for multivalued f -contractive maps have been obtained. Our results improve and extend various known results existing in the literature.

The main aim of this paper is to introduce and study some fixed point results for rational multivalued G-contraction F-Khan-type contraction mappings on a metric space with graph. At the end, we give an illustrative example.

Some limit theorems of the type $\int_{\Omega}f_n dm_n -- --> \int_{\Omega}f dm$ are presented for scalar, (vector), (multi)-valued sequences m_n-integrable functions f_n. The convergences obtained, in vector and multivalued settings, weak or strong sense.

In this paper, we consider the notion of multivalued rational type \begin{document}$ F- $\end{document} contraction mappings and prove fixed point theorems for mappings. Also give an illustrative example.

This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion u′(t)+Au(t)+ι∗∂J(ιu(t)) 3 f(t), where the multivalued term is given by the Clarke subdifferential of a locally Lipschitz functional. The method provides the proof of existence of...

Abstract This paper presents two fixed point results for both single valued and multivalued mappings on F -metric spaces, which is introduced by Jleli Samet [1]. First, we consider the concept of P -contraction mappings. Then using Feng-Liu’s technique, present a result -closed set spaces.

In this work we study the existence of nontrivial solution for the following class of multivalued quasilinear problems −div(φ(|∇u|)∇u)− b(u)u ∈ λ∂F (x, u) in Ω, u = 0 on ∂Ω where Ω ⊂ R is a bounded domain, N ≥ 2 and ∂F (x, u) is a generalized gradient of F (x, t) with respect to t. The main tools utilized are Variational Methods for Locally Lipschitz Functional and a Concentration Compactness T...

A multivalued recognition system was formulated by the authors which has the ability of discriminating the nonoverlapping, and overlapping and no-class (i.e., ambiguous/doubtful) regions and of analyzing the associated uncertainties by providing output decisions in four states, namely, single, f i r s t second, combined, and null choices. The single choices correspond to the nonoverlapping regi...

Article history: Received 19 February 2009 Received in revised form 28 October 2011 Accepted 21 December 2011 Available online 23 December 2011