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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2008 / Cilt: 37 - Sayı: 2

Random Fixed Points and Invariant Random Approximation in Non-Convex Domains

Hemant Kumar NASHİNE
Sayfa
81–88
Yayın Tarihi
2022-10-18
DOI
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NASHİNE, H. K. (2022). Random Fixed Points and Invariant Random Approximation in Non-Convex Domains. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 2, 81–88. https://ajindex.com/articles/530718

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Kaynakça (19)

  1. Beg, I. and Shahzad, N. Random fixed points and approximations in random convex metric spaces, J. Appl. Math. Stoch. Anal. 6, 237–246, 1993.
  2. Beg, I. and Shahzad, N. Random fixed points of random multivalued operators on polish spaces, Nonlinear Anal. 20, 835–847, 1993.
  3. Beg, I. and Shahzad, N. Applications of the proximity map to Random fixed points theorems in Hilbert space, J. Math. Anal. Appl., 196, 606–613, 1995.
  4. Beg, I. and Shahzad, N. On invariant random approximations, Approx. Theory Appl. 12, –72, 1996.
  5. Bharucha-Reid, A. T. Fixed point theorem in probabilistic analysis, Bull. Amer. Math. Soc., 641–645, 1976.
  6. Dotson, W. G. Jr On fixed point of nonexpansive mappings in nonconvex sets, Proc. Amer. Math. Soc. 38, 155–156, 1973.
  7. Himmerberg, C. J. Measurable relations, Fund. Math. 87, 53–72, 1975.
  8. Khan, A. R., Thaheem, A. B and Hussain, N. Random fixed points and random approxima- tions, South. Asian Bull. Math. 27, 289–294, 2003.
  9. Khan, A. R., Latif, A., Bano A. and Hussain, N. Some results on common fixed points and best approximation, Tamkang J. Math. 36 (1), 33–38, 2005. K¨othe, G. Topological vector spaces I (Springer-Verlag, Berlin, 1969).
  10. Kuratoski, K. and Ryll-Nardzewski, C. A general theorem on selectors, Bull Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 13, 397–403, 1965.
  11. Lin, T. C. Random approximations and random fixed point theorems for nonsself maps, Proc. Amer. Math. Soc. 103, 1129–1135, 1988.
  12. Meinardus, G. Invarianze bei Linearen Approximationen, Arch. Rational Mech. Anal. 14, –303, 1963.
  13. Mukherjee, R. N. and Som, T. A note on an application of a fixed point theorem in approx- imation theory, Indian J. Pure Appl. Math. 16 (3), 243–244, 1985.
  14. Nashine, H. K. Invariant approximations, generalized I-nonexpansive mappings and non- convex domain, Tamkang J. Math. 39 (1), 53–62, 2007.
  15. Papagergiou, N. S. Random fixed point theorems for measurable multifunctions in Banach spaces, Proc. Amer. Math. Soc. 97, 507–514, 1986.
  16. Papagergiou, N. S. Random fixed points and random differential inclusions, Inter. J. Math. Math. Sci. 11, 551–560, 1988. O’Regan, D., Shahzad, N. and Agrawal, R. P. Random fixed point theory in spaces with two metrices, J. Appl. Math. Stoch. Anal. 16 (2), 171–176, 2003.
  17. Rudin, W. Functional Analysis, 2nd Ed. (International Series in Pure and Applied Mathe- matics, McGraw-Hill, New York, 1991).
  18. Singh, S. P. An application of a fixed point theorem to approximation theory, J. Approx. Theory, 25, 89–90, 1979.
  19. Tan, K. K. and Yuan, X. Z