General implicit variational inclusion problems involving A -maximal relaxed accretive mappings in Banach spaces

Ram U. Verma

Archivum Mathematicum (2009)

  • Volume: 045, Issue: 3, page 171-177
  • ISSN: 0044-8753

Abstract

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A class of existence theorems in the context of solving a general class of nonlinear implicit inclusion problems are examined based on A -maximal relaxed accretive mappings in a real Banach space setting.

How to cite

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Verma, Ram U.. "General implicit variational inclusion problems involving $A$-maximal relaxed accretive mappings in Banach spaces." Archivum Mathematicum 045.3 (2009): 171-177. <http://eudml.org/doc/250556>.

@article{Verma2009,
abstract = {A class of existence theorems in the context of solving a general class of nonlinear implicit inclusion problems are examined based on $A$-maximal relaxed accretive mappings in a real Banach space setting.},
author = {Verma, Ram U.},
journal = {Archivum Mathematicum},
keywords = {implicit variational inclusions; maximal relaxed accretive mapping; $A$-maximal accretive mapping; generalized resolvent operator; implicit variational inclusion; maximal relaxed accretive mapping; -maximal accretive mapping; generalized resolvent operator},
language = {eng},
number = {3},
pages = {171-177},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {General implicit variational inclusion problems involving $A$-maximal relaxed accretive mappings in Banach spaces},
url = {http://eudml.org/doc/250556},
volume = {045},
year = {2009},
}

TY - JOUR
AU - Verma, Ram U.
TI - General implicit variational inclusion problems involving $A$-maximal relaxed accretive mappings in Banach spaces
JO - Archivum Mathematicum
PY - 2009
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 045
IS - 3
SP - 171
EP - 177
AB - A class of existence theorems in the context of solving a general class of nonlinear implicit inclusion problems are examined based on $A$-maximal relaxed accretive mappings in a real Banach space setting.
LA - eng
KW - implicit variational inclusions; maximal relaxed accretive mapping; $A$-maximal accretive mapping; generalized resolvent operator; implicit variational inclusion; maximal relaxed accretive mapping; -maximal accretive mapping; generalized resolvent operator
UR - http://eudml.org/doc/250556
ER -

References

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  7. Peng, J. W., 10.1016/j.aml.2005.04.009, Appl. Math. Lett. 19 (2006), 273–282. (2006) Zbl1102.47050MR2202416DOI10.1016/j.aml.2005.04.009
  8. Verma, R. U., On a class of nonlinear variational inequalities involving partially relaxed monotone and partially strongly monotone mappings, Math. Sci. Res. Hot-Line 4 (2) (2000), 55–63. (2000) Zbl1054.49010MR1742730
  9. Verma, R. U., 10.1007/s10957-006-9079-7, J. Optim. Theory Appl. 129 (3) (2006), 457–467. (2006) Zbl1123.49007MR2281151DOI10.1007/s10957-006-9079-7
  10. Verma, R. U., Averaging techniques and cocoercively monotone mappings, Math. Sci. Res. J. 10 (3) (2006), 79–82. (2006) Zbl1152.49011MR2231178
  11. Verma, R. U., 10.1007/s10957-006-9133-5, J. Optim. Theory Appl. 131 (1) (2006), 151–157. (2006) Zbl1107.49012MR2278302DOI10.1007/s10957-006-9133-5
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  13. Verma, R. U., 10.2478/s11533-007-0005-5, Cent. Eur. J. Math. 5 (2) (2007), 1–11. (2007) Zbl1128.49011MR2300280DOI10.2478/s11533-007-0005-5
  14. Verma, R. U., General system of ( A , η ) -monotone variational inclusion problems based on generalized hybrid algorithm, Nonlinear Anal. Hybrid Syst. 1 (3) (2007), 326–335. (2007) MR2339479
  15. Verma, R. U., 10.1016/j.jmaa.2007.01.114, J. Math. Anal. Appl. 337 (2008), 969–975. (2008) MR2386346DOI10.1016/j.jmaa.2007.01.114
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  20. Zeidler, E., Nonlinear Functional Analysis and its Applications II/B, Springer-Verlag, New York, 1990. (1990) Zbl0684.47029MR1033498

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