In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a $wt$-distance in $b$-metric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally $G$-continuity of mapping and we consider $b$-metric spaces with graph instead of $b$-metric spaces, under which can be gen...

We define wt0-distance which is a special type of wt-distance and obtain some best proximity point theorems involving b-simulation functions. Our results are significant, since we replace simulation function with function, metric space b-metric space, w0-distance wt0-distance. also provide examples to support our results.

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(71) Applicants:Zainab JAGANI, Cambridge, MA (US); EPE" application No. 61/846,178, s s s Jul 15, 2013. Gregory HOFFMAN, Cambridge, MA ed. On Jul. 1, (US); Frank Peter STEGMEIER, Publication Classification Cambridge, MA (US); Craig Stephen MICKANIN, Cambridge, MA (US) (51) Int. Cl. CI2O I/68 (2006.01) (72) Inventors: Zainab JAGANI, Cambridge, MA (US); GOIN33/574 (2006.01) Gregory HOFFMAN, Cambr...

In the current research work synthesis, characterization, mechanical and wear behavior of 5 and 10 wt. % of nano TiO2 particulates reinforced Al7075 alloy composites are inspected. The Al7075 alloy and nano TiO2 particle composites were provided by melt stir system. After the preparation, the prepared composites were analyzed by SEM, EDS, and XRD for inquiring the microstr...

BACKGROUND Glial dysfunction has been purported to be important to the pathophysiology of bipolar illness. However, manic behavior has not been previously demonstrated to result as a consequence of glial pathology. The aim of the current study was to assess the behaviors of the glial-specific sodium pump alpha2 subunit (ATP1A2) knockout (KO) heterozygote mice to determine if a glial-specific ab...

The ganglioside 9-O-acetyl GD3 is overexpressed in peripheral nerves after lesioning, and its expression is correlated with axonal degeneration and regeneration in adult rodents. However, the biological roles of this ganglioside during the regenerative process are unclear. We used mice lacking GD3 synthase (Siat3a KO), an enzyme that converts GM3 to GD3, which can be further converted to 9-O-ac...