Sentence examples for maps with respect from inspiring English sources

In [6], Susuki and Takahashi proved a fixed point theorem for contractive type multivalued maps with respect to -distance.

We now obtain an existence theorem for IMVEP for weakly -pseudomonotone maps with respect to and under additional assumptions.

In the first stage, microzonation maps with respect to estimated earthquake characteristics on the ground surface are generated for an investigated urban area.

We introduce the new classes of Kannan-type maps with respect to u-distance and prove some fixed point theorems for these mappings.

Suzuki and Takahashi [11] introduced single-valued and multi-valued weakly contractive maps with respect to w-distance and proved fixed point results for such maps.

In [14], Suzuki improved several classical results including the Caristi's fixed point theorem for single-valued maps with respect to τ-distance.

Let (A: X rightarrow X) and (M: X rightarrow2^{X}) be a γ-order non-extended map and an α-non-ordinary difference mapping with respect to A, respectively.

As F (respectively, H) is a continuous mapping with respect to G, then (T_{F}) (respectively, (T_{H})) is also continuous with respect to (q_{G}).

Let be the Lipschitz continuous mapping with respect to positive constants and respectively.

If are two set-valued mappings such that for any,, then is called a generalized mapping with respect to.

(2) is a generalized mapping with respect to.