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Common fixed point theorem and invariant approximation in complete linear metric spaces

Hemant Kumar Nashine
영남수학회 (Youngnam Mathematical Society)|2012.11|East Asian Mathematical Journal|제28권 제5호|pp. 533-541|DOI http://dx.doi.org/10.7858/eamj.2012.038

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참고문헌

키워드

Best approximationinvariant approximationweakly compatible
주제분류수학

초록

A common fixed point result of Gregus type for subcompati- ble mappings defined on a complete linear metric space is obtained. The considered underlying space is generalized from Banach space to complete linear metric spaces, which include Banach space and complete metriz- able locally convex spaces. Invariant approximation results have also been determined as its application

Abstract

A common fixed point result of Gregus type for subcompati- ble mappings defined on a complete linear metric space is obtained. The considered underlying space is generalized from Banach space to complete linear metric spaces, which include Banach space and complete metriz- able locally convex spaces. Invariant approximation results have also been determined as its application

참고문헌 (16)

  1. F. Akbar, "Common xed point and approximation results for non- commuting maps on locally convex spaces", Fixed Point Theory and Applications, pp.14~ (2009)
  2. M. A. Al-Thaga, "Common xed points and best approximation", J. Approx. Theory, 85(3), pp.318~323 (1996)
  3. B. Brosowski, "Fixpunktsatze in der Approximationstheorie", Mathematica (Cluj), 11, pp.165~220 (1969)
  4. W. G. Dotson, "Fixed point theorems for nonexpasive mappings on starshaped subsets of Banach space", J. London Math. Soc, 4(2), pp.408~410 (1972)
  5. G. Jungck, "Compatible mappings and common xed points", Internat. J. Math. Math. Sci, 9(4), pp.771~779 (1986)
  6. G. Jungck, "On a xed point theorem of Fisher and Sessa", Internat. J. Math. Math. Sci, 13, pp.497~500 (1990)
  7. G. Jungck, "Some xed point theorem for compatible maps", Internat. J. Math. Math. Sci, 16(3), pp.417~428 (1993)
  8. G. Jungck, "Compatible maps and invariant approximations", J. Math. Anal. Appl, 325, pp.1003~1012 (2007)
  9. A. R. Khan, "Random coincidence points of subcompatible mul- tivalued maps with applications", Carpathian Journal of Mathematics, 24(2), pp.63~71 (2008)
  10. G. Meinardus, "Invarianze bei linearen approximationen", Arch. Rational Mech. Anal, 14, pp.301~303 (1963)
  11. H. K. Nashine, "Common xed point and invariant approximations for subcompatible mappings in convex metric spaces", Math. Commun, 16, pp.1~12 (2011)
  12. H. K. Nashine, "An application of xed point theorem to best approxi- mation in locally convex space", Appl. Math. Lett, 23, pp.121~127 (2010)
  13. S. A. Sahab, "A result in best approximation theory", J. Approx. Theory, 55, pp.349~351 (1988)
  14. S. P. Singh, "An application of a xed point theorem to approximation theory", J. Approx. Theory, 25, pp.89~90 (1979)
  15. S. P. Singh, "Application of xed point theorems to approximation theory, In Applied nonlinear Analysis" (1979), Academic Press
  16. S. P. Singh, "Some results on best approximation in locally convex spaces", J. Approx. Theory, 28, pp.329~332 (1980)

관련 논문AI추천

COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR SUBCOMPATIBLE MAPPINGS IN CONVEX METRIC SPACE김종규, Hemant Kumar Nashine영남수학회 · East Asian Mathematical Journal2010 · 제26권 제1호Common fixed point and invariant approximation in Menger convex metric spacesJong Kyu Kim, Mujahid Abbas, Nawab Hussain대한수학회 · 대한수학회보2008 · 제45권 제4호Fixed point theorem for noncompatible discontinuous mappings and best approximationBhavana Deshpande, Sushil Sharma영남수학회 · East Asian Mathematical Journal2008 · 제24권 제2호Common fixed point point theorem for a pair of weakly compatible mappings on Banach spacesAlok Pandey, Bhavana Deshpande, Sushil Sharma영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Two Subrahmanyam Type of Common Fixed Point Theorems in Complete Metric Spaces강미광, 김승현한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제1호

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