One of the tools for building new fixed-point results is use symmetry in distance functions. The symmetric property metrics particularly useful constructing contractive inequalities analyzing different models practical consequences. A lot important invariant point crisp mappings have been improved by using metrics. However, more than a handful theorems spaces are yet to be investigated fuzzy ve...

In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].