We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric spaces. We motivate our results by some given examples and an application for finding the solution of a functional equation arising in dynamic programming. 2000 Mathematics Subje...

In this paper, we provide a generalization of rectangular b-metric space by relaxing the inequality to include unequal weights. We examples and restrictions for Lipschitz constant enabling convergence some sequences in proof fixed point theorems.

This paper is an attempt to introduce mathematical structures for classical planning. It is rst shown that the set-based structures underlying classical planning are unable to build more than a monoid. Consequently, an appropriate structure is presented (that of the incidence algebra of a partial plan) and used to build the partial plan space as an algebraic eld. A vector space, an aane space a...