jachymski [ proc. amer. math. soc., 136 (2008), 1359-1373] gave modified version of a banach fixed point theorem on a metric space endowed with a graph. in the present paper, (g, φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. also, hardy-rogers g-contraction have been introduced and some fixed point theorems have been proved. s...

BACKGROUND Constipation is a prominent lower gastrointestinal tract dysfunction that occurs frequently in Parkinson's disease (PD). OBJECTIVE To investigate colonic transport and dynamic rectoanal behaviour during filling and defecation in patients with PD. METHODS Colonic transit time (CTT) and rectoanal videomanometry analyses were performed in 12 patients with PD (10 men and 2 women; mea...

We study synchronization functions in basic examples of discontinuous forced systems with contractive response and chaotic driving. The forcing is given by baker-type maps and the response is assumed to depend monotonically on the drive. The resulting synchronization functions have dense sets of discontinuities and their graphs appear to be extremely choppy. We show that these functions have bo...

The main goal of this paper is to prove [Formula: see text]-comparison and contraction principles for weak solutions PDE system corresponding a phase transition diffusion model Hele-Shaw type with addition linear drift. flow considered source term subject mixed homogeneous boundary conditions: Dirichlet Neumann. can be focused instance biological applications including multi-species diffusion-a...

In the setting of fuzzy metric spaces (FMSs), a global optimization problem (GOP) obtaining distance between two subsets an FMS is solved by tripled fixed-point (FP) technique here. Also, weak contractions (WTCs) for that are given. This was known before in space (MS) as proximity point (PPP). The result correct each continuous τ—norms related to FMS. Furthermore, non-trivial example illustrate...

The purpose of this paper is to establish some fixed point results for a class generalized $(\phi, \psi)$-weak contraction mapping in partially ordered $b$-metric space. This necessarily have unique under relation Also, the common and coincidence points self mappings are presented. These generalize extend an existing literature. Some illustrations given at end support results.

In six healthy volunteers, the size of the motor unit action potential (MUAP) was related to its contractile behaviour. Electrical activity was determined by measuring amplitude and area of the potential, using the macro electromyography (EMG) technique. The mechanical response was characterised by contraction time, twitch force and relaxation time, recorded with the spike triggered averaging t...