TY - CHAP
T1 - Almost Fixed Points
AU - Ben Amar, Afif
AU - O’Regan, Donal
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - This chapter presents various almost fixed points results from the literature. In proofs of many fixed point theorems, almost fixed points have usually appeared in an auxiliary role. In certain cases, almost fixed points, unlike fixed points, can be obtained numerically, and in some other cases, the existence of a fixed point is non-trivial or uncertain, whereas almost fixed points are easily found. Therefore, almost fixed points seem to be natural objects in many applications.
AB - This chapter presents various almost fixed points results from the literature. In proofs of many fixed point theorems, almost fixed points have usually appeared in an auxiliary role. In certain cases, almost fixed points, unlike fixed points, can be obtained numerically, and in some other cases, the existence of a fixed point is non-trivial or uncertain, whereas almost fixed points are easily found. Therefore, almost fixed points seem to be natural objects in many applications.
UR - https://www.scopus.com/pages/publications/85123608211
U2 - 10.1007/978-3-030-92204-7_2
DO - 10.1007/978-3-030-92204-7_2
M3 - Chapter
AN - SCOPUS:85123608211
T3 - Developments in Mathematics
SP - 99
EP - 144
BT - Developments in Mathematics
PB - Springer
ER -