Extensions of some Fixed Point Theorems of Rhoades, Ćirić, Maiti and Pal
Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 97
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In a recent paper Rhoades [6] has shown, for a selfmap $T$
of a Banach space satisfying the contractive definitions of Ćirić
[1] or of Pal and Maiti [5], that if the sequence of Mann iterates
converges then it converges to a fixed point of $T$. In this note we
propose to draw the same conclusion in some of these cases even for
subsequential limit points, i.e., every subsequential limit point of
the sequence of Mann iterates will be a fixed point of $T$. Further we
shall derive the conclusions of Rhoades in the case of mappings
satisfying even weaker conditions. Our final result will be concerned
with the extension of a result of Maiti and Babu [4] to mappings
satisfying conditions similar to those in Rhoades [6, Theorem 3]. This
is closed in spirit to the main result of Diaz and Metcalf [2].
Classification :
47H10 54H25
@article{PIM_1987_N_S_42_56_a11,
author = {A.C. Babu and B.B. Panda},
title = {Extensions of some {Fixed} {Point} {Theorems} of {Rhoades,} {\'Ciri\'c,} {Maiti} and {Pal}},
journal = {Publications de l'Institut Math\'ematique},
pages = {97 },
publisher = {mathdoc},
volume = {_N_S_42},
number = {56},
year = {1987},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a11/}
}
TY - JOUR AU - A.C. Babu AU - B.B. Panda TI - Extensions of some Fixed Point Theorems of Rhoades, Ćirić, Maiti and Pal JO - Publications de l'Institut Mathématique PY - 1987 SP - 97 VL - _N_S_42 IS - 56 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a11/ LA - en ID - PIM_1987_N_S_42_56_a11 ER -
A.C. Babu; B.B. Panda. Extensions of some Fixed Point Theorems of Rhoades, Ćirić, Maiti and Pal. Publications de l'Institut Mathématique, _N_S_42 (1987) no. 56, p. 97 . http://geodesic.mathdoc.fr/item/PIM_1987_N_S_42_56_a11/