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Original Articles

On a New Class of Systems of Generalized Quasi-Variational Inequalities

Pages 1152-1173 | Received 05 May 2013, Accepted 28 Dec 2013, Published online: 08 Jul 2014

REFERENCES

  • X. P. Ding ( 1998 ). Equilibria of noncompact generalized games with U-majorized preference correspondences . Appl. Math. Lett. 11 ( 5 ): 115 – 119 .
  • P. Hartman and G. Stampacchia ( 1966 ). On some nonlinear elliptic differential functional equations . Acta Math. 115 : 271 – 310 .
  • W. K. Kim ( 2006 ). On general best proximity pairs and equilibrium pairs in free generalized games . J. Chungceong Math. Soc. 19 ( 1 ): 19 – 26 .
  • W. K. Kim and K. H. Lee ( 2006 ). Existence of best proximity pairs and equlibrium pairs . J. Math. An. Appl. 316 : 433 – 446 .
  • S. J. Leese ( 1974 ). Multifunctions of Souslin type . Bull. Austral. Math. Soc. 11 : 395 – 411 .
  • X. Liu and H. Cai ( 2001 ). Maximal elements and equilibrium of abstract economy . Appl. Math. Mech. 22 ( 10 ): 1225 – 1230 .
  • E. Michael ( 1956 ). Continuous selection I . Annals of Mathematics. 63 ( 2 ): 361 – 382 .
  • S. K. Mishra and M. A. Noor (2005). On vector variational-like inequality problems. Journal of Mathematical Analysis and Applications 311(1):69–75.
  • M. A. Noor and S. A. Elsanousi ( 1993 ). Iterative algorithms for random variational inequalities . Pan Amer. Math. Journal 3 : 39 – 50 .
  • M. Patriche ( 2009 ). A new fixed point theorem and its applications in equilibrium theory . Fixed Point Theory 1 : 159 – 171 .
  • M. Patriche ( 2009 ). Equilibria for free abstract fuzzy economies . An. St. Ovidius University of Constanta 17 ( 2 ): 143 – 154 .
  • S. Reich ( 1978 ). Approximate selections, best approximations, fixed points, and invariant sets . J. Math. Anal. Appl. 62 : 104 – 113 .
  • V. M. Sehgal and S. P. Singh ( 1988 ). A generalization to multifunctions of Fan's best approximation theorem . Proc. Amer. Math. Soc. 102 : 534 – 537 .
  • W. Shafer and H. Sonnenschein ( 1975 ). Equilibrium in abstract economies without ordered preferences . Journal of Mathematical Economics 2 : 345 – 348 .
  • P. S. Srinivasan and P. Veeramani ( 2003 ). On best approximation pair theorems and fixed point theorems . Abstr. Appl. Anal. 2003 : 33 – 47 .
  • P. S. Srinivasan and P. Veeramani ( 2004 ). On existence of equilibrium pair for constraint generalized games . Fixed Point Theory Appl. 2004 : 21 – 29 .
  • X. Wu ( 1997 ). A new fixed point theorem and its applications . Proc. Amer. Math. Soc. 125 : 1779 – 1783 .
  • N. C. Yannelis and N. D. Prabhakar ( 1983 ). Existence of maximal elements and equilibrium in linear topological spaces . J. Math. Econom. 12 : 233 – 245 .
  • X. Z. Yuan ( 1998 ). The Study of Minimax Inequalities and Applications to Economies and Variational Inequalities . Memoirs of the American Society. Providence , RI , AMS , 132 .

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