In this paper, the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibility and reciprocal continuity in intuitionistic Menger space has been applied to prove a common fixed point theorem. We extend the result of [1] from metric space to intuitionistic Menger space. Also we cited examples in support our results.

A . Uniform sequential continuity, a property classically equivalent to uniform continuity on compact sets, is shown, constructively, to be a consequence of strong continuity on a metric space. It is then shown that in the case of a separable metric space, in order to omit the word sequential from this result, it is necessary and sufficient to adopt a principle (BD-N) that is independent of Hey...

In this paper, we verify the lower semi-continuity and Ekeland’s variational principle for very recent results in a generalized metric space which introduced by Mohamed Jleli Bessem Samet [1]. And sequel obtain certain fixed point theorems related topics.