Some surjectivity theorems with applications
Archivum Mathematicum (2013)
- Volume: 049, Issue: 1, page 17-27
- ISSN: 0044-8753
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topPathak, H. K., and Mishra, S. N.. "Some surjectivity theorems with applications." Archivum Mathematicum 049.1 (2013): 17-27. <http://eudml.org/doc/252536>.
@article{Pathak2013,
abstract = {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.},
author = {Pathak, H. K., Mishra, S. N.},
journal = {Archivum Mathematicum},
keywords = {strongly $\phi $-accretive; locally strongly $\phi $-accretive; locally $\lambda $-strongly $\phi $-accretive; fixed point theorem; strongly -accretive; locally strongly -accretive; locally -strongly -accretive; fixed point theorem},
language = {eng},
number = {1},
pages = {17-27},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some surjectivity theorems with applications},
url = {http://eudml.org/doc/252536},
volume = {049},
year = {2013},
}
TY - JOUR
AU - Pathak, H. K.
AU - Mishra, S. N.
TI - Some surjectivity theorems with applications
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 1
SP - 17
EP - 27
AB - 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.
LA - eng
KW - strongly $\phi $-accretive; locally strongly $\phi $-accretive; locally $\lambda $-strongly $\phi $-accretive; fixed point theorem; strongly -accretive; locally strongly -accretive; locally -strongly -accretive; fixed point theorem
UR - http://eudml.org/doc/252536
ER -
References
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