Coordinate note: R1 means row 1, C1 means column 1, and C1R1 is the upper-left cell. The grid is 9×9. PARK, PLAZA, CAFE, LOVERS' BRIDGE, PATH, and RIVER refer to the regions on the map.
From the suspect clues, F must be in the Park region and G must be in the Plaza region. H cannot be in either of those regions, because then it would be impossible for H to be alone with the only person sitting on a chair. Therefore H can only be at C2R2 or C3R2, and the remaining cells in R2 can be crossed out. Now focus on C6R4. Column C6 only has this one cell available. Since Cafe, Plaza, and Park each contain a man (H, G, and F respectively), and A's clue says she cannot be in a region with a man, A can only be on Lovers' Bridge. V cannot appear on Lovers' Bridge either (since V is a man), so C6R4 must be A — the first confirmed placement. Now look at C: C's clue says she is one column west of A and in a different region (C5R5 is ruled out), so C can only be at C5R9. Now look at C7R7. This is the only available cell in column C7, so it must be occupied, and the remaining cells in R7 can be crossed out. C7, C8, and C9 must each contain someone, meaning Park must have three people total. V cannot be in Park, because V must be alone with exactly one other person. Combining the remaining clues, C7R7 can only be D or E. Now consider C1 to C4. Cafe has two people, so two of columns C1 through C3 will be occupied by Cafe. That leaves only two of the C1–C4 columns for Plaza, meaning Plaza can only hold two people. D cannot be in Plaza, because D's clue says he must share a region with the only person on a path cell (G is not on a path), so D + G + one more person would be three, exceeding Plaza's limit of two. Therefore D must be in Park, and all path cells in Plaza can be crossed out. F must now be in the last available column, so the only path cell that works is F. (The rest is up to you to reason through.)