M.Akram et al. ([1],[2]) have introduced a larger class of mappings called A-contraction, which is a proper superclass of Kannan’s [7], Bianchini’s [3] and Reich’s [8] type contractions. In the present paper, we have proved some fixed point theorems for A-contraction mappings in a 2-metric space. AMS Mathematics Subject Classification (2000): 47H10, 54H25

An alternative approach in the study of muscle fatigue is to address the question, "What causes task failure during a fatiguing contraction?" This approach is described by considering how variation in the type of load supported and contraction intensity influence both the time to task failure and the centrally mediated adjustments in reflex activity and motor unit behavior.

The semi-group associated with the Cauchy problem for a scalar conservation law is known to be a contraction in L1. However it is not a contraction in Lp for any p > 1. Leger showed in [18] that for a convex flux, it is however a contraction in L2 up to a suitable shift. We investigate in this paper whether such a contraction may happen for systems. The method is based on the relative entropy m...

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.

In this paper, we present a new extension of Banach-Caristi type theorem for multivalued mappings. We show that our result is not consequence version Banach contraction principle due to Nadler. provide an application the solution functional equations.

In this paper, we introduce a new concept of KW-type ?-contraction mixed multivalued mapping. After that, obtain some fixed point results for both and single valued mappings Finally, provide noteworth example to show the effectiveness our result.

In this paper we analyse anaphoric pronouns in control sentences and we investigate the implications of these kinds of sentences in relation to the Propositional Theory versus Property Theory question. For these purposes, we invoke the categorial calculus with limited contraction, a conservative extension of Lambek calculus that builds contraction into the logical rules for a customized slash t...

In 2009, Ilić and Rakoc̆ević proved that quasi-contraction maps on normal cone metric spaces have a unique fixed point (Ilić and Rakoc̆ević, 2009 [6]). Then, Kadelburg, Radenović and Rakoc̆ević generalized their results by considering an additional assumption (Kadelburg et al., 2009 [7]). Also, they proved that quasi-contraction maps on cone metric spaces have the property (P) whenever λ ∈ (0, 2 )...

Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...