1 To investigate the significance of the constants and . For
examples, the preservation of the property and by
their direct sum under various norms. (See [12, 13, 14]).
2 To investigate the convexity property of direct sums . (See [12, 45].)
3 To apply nonstandard analysis to the fixed point theory (See [4, 43, 51, 52, 53, 54, 55]).
4 To establish fixed point theorems in the hyperconvexity setting (See [6, 7,
8, 15, 16, 33, 34, 35, 36, 37, 38]).
5 To investigate some topological properties of the convergence set.
6 To investigate the relationship between the convergence set and the fixed point set and use this relationship to study some topological properties of the fixed point set.
