Common fixed point theorems of different compatible type mappings using Ciric\u27s contraction type condition

The purpose of this paper is to establish necessary and sufficient conditions for the existence of common fixed points for a compatible pair of selfmaps under Ciric\u27s contraction type condition. These theorems improve and generalize the results of Mukherjee and Verma [11] and Jungck [9] to a pair of selfmaps. Also established the existence of common fixed points for a pair of compatible mappings of type (B), and obtain a result on the existence of common fixed points for a pair of compatible mappings of type (A) as corollary. Greguš fixed point theorem follows as a special case to our results

Utilisation of Waste Plastics in Flexible Pavement Construction Laid on Expansive Soil Subgrade

This paper investigates the performance of model flexible pavement on expansive soil subgrade using gravel / flyash as subbase course with waste plastics as a reinforcing material. It was observed that from the laboratory test results of direct shear and CBR, the optimum percentage of waste plastics is equal to 0.3% and 0.4% for gravel and flyash materials. Cyclic load tests were carried out in the field on the reinforced and unreinforced model flexible pavements laid on expansive soil subgrades. It is observed that the maximum load carrying capacity associated with less value of rebound deflection is obtained for gravel/flyash reinforced subbase compared to unreinforced gravel/flyash subbase

ANTIOXIDANT AND ANTIULCER POTENTIAL OF ETHANOLIC EXTRACT OF BARK OF MYRICA ESCULENTA IN PYLORIC LIGATION ULCER MODEL

Objective: To evaluate the antiulcer and antioxidant potential of ethanolic extract of bark of Myrica esculenta in pyloric ligated ulcer model in albino rats.Methods: The rats were subjected to pyloric ligation ulcer model and the ethanolic extract of bark of Myrica esculenta were compared with the induced and standard drug Ranitidine. The activity of antioxidant parameters was analysed in the homogenate of stomachs.Results: The levels of gastric volume, total acidity, free acidity, lipid peroxidation and glutathione (GSH) were reduced significantly and antioxidant, parameters like catalase, nitrite and myeloperoxidase (MPO) were increased significantly in the ethanloic extract of bark of Myrica esculenta. Conclusion: The present study revealed that the ethanolic extract of bark of Myrica esculenta improved the anti ulcer and antioxidant potential. Â

The true reinforced random walk with bias

We consider a self-attracting random walk in dimension d=1, in presence of a field of strength s, which biases the walker toward a target site. We focus on the dynamic case (true reinforced random walk), where memory effects are implemented at each time step, differently from the static case, where memory effects are accounted for globally. We analyze in details the asymptotic long-time behavior of the walker through the main statistical quantities (e.g. distinct sites visited, end-to-end distance) and we discuss a possible mapping between such dynamic self-attracting model and the trapping problem for a simple random walk, in analogy with the static model. Moreover, we find that, for any s>0, the random walk behavior switches to ballistic and that field effects always prevail on memory effects without any singularity, already in d=1; this is in contrast with the behavior observed in the static model.Comment: to appear on New J. Phy

Estimation of annual risk of tuberculosis infection among children irrespective of BCG scar in the south zone of India

Objective: To estimate the proportion infected and compute Annual Risk of Tuberculosis Infection (ARTI) among children irrespective of BCG scar and compare with that among children without BCG scar. Methodology: Tuberculin survey was conducted in south zone of India as a part of the nation-wide survey to estimate the ARTI in different parts of the country and ARTI was computed among children without BCG scar excluding children with BCG scar. In this exercise, the tuberculin test results of children with BCG scar and irrespective of BCG scar were considered for analysis and the results were compared. Results: The prevalence of infection and ARTI estimated among children irrespective of BCG scar aged 1-9 years were 5.7% and 1.0% (95% C.I: 0.8-1.3) respectively. The corresponding figures among unvaccinated children were 5.9% and 1.0% (95% C.I: 0.7-1.4) respectively. The ARTI among children irrespective of BCG scar were similar to that among unvaccinated children. Conclusion: Estimation of proportion of children infected and computation of ARTI using mirror-image technique could be undertaken among children irrespective of BCG scar among children aged either from 1-9 years or 5-9 years

Low-stress mechanical properties and fabric hand of cotton and polylactic acid fibre blended knitted fabrics

Low-stress mechanical behavior of cotton-rich/polylacticacid blended fabrics has been investigated and the results arecompared with cotton and polylactic acid fibre fabrics. Thepolylactic acid fibres are mixed with cotton fibres in two differentproportions, namely 20% and 35% and spun into 14.76 tex (40sNe) yarn. The yarns are then knit into single jersey structurefollowed by chemical pretreatments and relaxation. The relaxedfabrics are tested for low-stress mechanical properties usingKawabata evaluation system for fabrics (KES-F) and the handvalues are calculated. The results show that the addition of PLAfibres to cotton enhances the smoothness and softness of theblended fabrics. The total hand value of the fabrics rangesbetween 3.2 and 3.5