Multivalued contractions of Klim-Wardowski type on a set with two metrics

In this paper, we establish new fixed point theorems for multivalued Klim-Wardowski type contractions on spaces equipped with two metrics. By integrating Maia's two metric framework with ϕ-contractive conditions, we generalize and unify several classical results, including those of Nadler, Feng-Liu, and Klim-Wardowski. We also provide a compact valued version based on Mizoguchi-Takahashi functions and clarify certain technical issues in earlier two metric fixed point theorems.