Geodesic
Some surjectivity theorems with applications
Archivum mathematicum, Tome 49 (2013) no. 1, pp. 17-27

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper a new class of mappings, known as locally $\lambda $-strongly $\phi $-accretive mappings, where $\lambda $ and $\phi $ have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly $\phi $-accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally $\lambda $-strongly $\phi $-accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce the notion of generalized directional contractor and prove a surjectivity theorem which is used to solve certain functional equations in Banach spaces.
DOI : 10.5817/AM2013-1-17
Classification : 47H05, 47H15
Keywords: strongly $\phi $-accretive; locally strongly $\phi $-accretive; locally $\lambda $-strongly $\phi $-accretive; fixed point theorem 
@article{10_5817_AM2013_1_17,
     author = {Pathak, H. K. and Mishra, S. N.},
     title = {Some surjectivity theorems with applications},
     journal = {Archivum mathematicum},
     pages = {17--27},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2013},
     doi = {10.5817/AM2013-1-17},
     mrnumber = {3073012},
     zbl = {06321144},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2013-1-17/}
}
TY  - JOUR
AU  - Pathak, H. K.
AU  - Mishra, S. N.
TI  - Some surjectivity theorems with applications
JO  - Archivum mathematicum
PY  - 2013
SP  - 17
EP  - 27
VL  - 49
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2013-1-17/
DO  - 10.5817/AM2013-1-17
LA  - en
ID  - 10_5817_AM2013_1_17
ER  - 
%0 Journal Article
%A Pathak, H. K.
%A Mishra, S. N.
%T Some surjectivity theorems with applications
%J Archivum mathematicum
%D 2013
%P 17-27
%V 49
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2013-1-17/
%R 10.5817/AM2013-1-17
%G en
%F 10_5817_AM2013_1_17
Pathak, H. K.; Mishra, S. N. Some surjectivity theorems with applications. Archivum mathematicum, Tome 49 (2013) no. 1, pp. 17-27. doi: 10.5817/AM2013-1-17

Cité par Sources :