Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium p...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/807324 |
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| author | Haider Abbas Rizvi Adem Kılıçman Rais Ahmad |
| author_facet | Haider Abbas Rizvi Adem Kılıçman Rais Ahmad |
| author_sort | Haider Abbas Rizvi |
| collection | DOAJ |
| description | We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem. |
| format | Article |
| id | doaj-art-fe47edb3e76e451781d7edad6f5311c2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-fe47edb3e76e451781d7edad6f5311c22025-02-03T06:00:56ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/807324807324Generalized Equilibrium Problem with Mixed Relaxed MonotonicityHaider Abbas Rizvi0Adem Kılıçman1Rais Ahmad2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Selangor, MalaysiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaWe extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem.http://dx.doi.org/10.1155/2014/807324 |
| spellingShingle | Haider Abbas Rizvi Adem Kılıçman Rais Ahmad Generalized Equilibrium Problem with Mixed Relaxed Monotonicity The Scientific World Journal |
| title | Generalized Equilibrium Problem with Mixed Relaxed Monotonicity |
| title_full | Generalized Equilibrium Problem with Mixed Relaxed Monotonicity |
| title_fullStr | Generalized Equilibrium Problem with Mixed Relaxed Monotonicity |
| title_full_unstemmed | Generalized Equilibrium Problem with Mixed Relaxed Monotonicity |
| title_short | Generalized Equilibrium Problem with Mixed Relaxed Monotonicity |
| title_sort | generalized equilibrium problem with mixed relaxed monotonicity |
| url | http://dx.doi.org/10.1155/2014/807324 |
| work_keys_str_mv | AT haiderabbasrizvi generalizedequilibriumproblemwithmixedrelaxedmonotonicity AT ademkılıcman generalizedequilibriumproblemwithmixedrelaxedmonotonicity AT raisahmad generalizedequilibriumproblemwithmixedrelaxedmonotonicity |