Systems of Generalized Quasivariational Inclusion Problems with Applications in <inline-formula> <graphic file="1687-1812-2011-561573-i1.gif"/></inline-formula>-Spaces
<p/> <p>We first prove that the product of a family of <inline-formula> <graphic file="1687-1812-2011-561573-i2.gif"/></inline-formula>-spaces is also an <inline-formula> <graphic file="1687-1812-2011-561573-i3.gif"/></inline-formula&g...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/561573 |
| Summary: | <p/> <p>We first prove that the product of a family of <inline-formula> <graphic file="1687-1812-2011-561573-i2.gif"/></inline-formula>-spaces is also an <inline-formula> <graphic file="1687-1812-2011-561573-i3.gif"/></inline-formula>-space. Then, by using a Himmelberg type fixed point theorem in <inline-formula> <graphic file="1687-1812-2011-561573-i4.gif"/></inline-formula>-spaces, we establish existence theorems of solutions for systems of generalized quasivariational inclusion problems, systems of variational equations, and systems of generalized quasiequilibrium problems in <inline-formula> <graphic file="1687-1812-2011-561573-i5.gif"/></inline-formula>-spaces. Applications of the existence theorem of solutions for systems of generalized quasiequilibrium problems to optimization problems are given in <inline-formula> <graphic file="1687-1812-2011-561573-i6.gif"/></inline-formula>-spaces.</p> |
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| ISSN: | 1687-1820 1687-1812 |