Sentence examples for the framework of fixed point from inspiring English sources

In this paper, we only underline these facts in the framework of fixed point theory.

The theoretical framework of fixed point theory has been an active research field over the last three decades.

On the other hand, there is also a rich background in theory and applications of fixed point theory related to non-expansive, contractive, weakly contractive and strictly contractive mappings as well as related to their counterparts in the framework of common fixed points and coincidence points for several mappings and in the framework of multivalued functions.

We emphasize that the exposition of the standard tools of fixed point theory in the framework of the present work is new.

Further, we announce the result for the existence of fixed point under cyclical consideration in the framework following dislocated quasi-b-metric spaces.

Browder [1] proved the first existence result of fixed point for demi-continuous pseudo-contractions in the framework of Hilbert space.

A large number of fixed point results in the metric framework have been extended to the partial metric context in [13, 16 41].

Thus, a large number of fixed point results in the metric framework have been extended to the partial metric case in such references as [9, 16 40] and [41].

Motivated by the work of Nemeth [15], we initiate the study of fixed points and common fixed points of weakly order contractive mappings in the framework of vector lattices.

In [32, 33], Takahashi and Zembayashi studied the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in the framework of Banach spaces.

Takahashi and Zembayashi [33, 34] studied the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in the framework of Banach spaces.