Sentence examples for maps see for from inspiring English sources

There are many works about the fixed point of contractive maps (see, for example, [2, 3]).

Finally, promising results are being obtained concerning fixed point theory for multivalued maps (see, for instance [31 33]).

(1) The class of Banach operator pairs is different from that of weakly compatible maps; see for example [21, 23, 32].

We require some knowledge of the classical fixed point index for compact maps; see for example [18] or [15] for further information.

This is confirmed by the analysis of residuals maps; see for example Fig. 7, which was selected for the same season and UT as Fig. 3 in order to facilitate comparison.

where the control sequence { α n } n = 1 ∞ is a real sequence in ( 0, 1 ) satisfying some appropriate conditions, has been used by several authors for the approximation of fixed points of asymptotically k-strictly pseudocontractive maps (see, for example, [2 10]).

T β is also a strongly quasi-nonexpansive mapping (see, for example, [16]).

In the last decade, many author studied the problem for finding an element of the set of fixed points of a nonlinear mapping; see, for instance, [12 14].

Proof It is well known that for each i ≥ 1, J r i A is a relatively nonexpansive mapping (see, for example, [5, 6, 19]).

Much work has been done on the existence of common fixed points for a pair consisting of a single-valued and a multivalued mapping, see, for instance [7 14].

In the literature one can find some interesting papers concerning cyclic contraction, F-contraction and weakly compatible mapping (see for example [17 26]).