In March this year, Apple accused the e-tailer Amazon of infringing its rights to the name and asked a US court for an injunction prohibiting Amazon from using the name, claiming it would "confuse and mislead customers", as well as unspecified damages.
However, last week, US District Court for Northern California, Judge Phyllis Hamilton, ruled it was unlikely the use of the term 'App Store' would cause confusion for consumers over which belonged to which brand.
The tech giant has now sent 'cease and desist' letters to a number of app stores, including Get Jar, demanding that they stop using the term 'app store'.
"GetJar has been in the business of offering apps to consumers since 2005, well before Apple, and helped pioneer the model that the general public understands as an app store today," Ilja Laurs, GetJar CEO, said.
"We have built a strong, global and growing business around this model and plan to continue to use the phrase 'app store' to describe what we do."