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Fixed Points and Common Fixed Points Theorems in Cone Metrc-like Spaces

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In this paper, we introduce the new concept of a cone metric-like space and consider some fixed point theorems for generalized contractive mappings under suitable conditions in cone metric-like spaces. Our results generalize and unify the several main results of [1.2.9].

Abstract

In this paper, we introduce the new concept of a cone metric-like space and consider some fixed point theorems for generalized contractive mappings under suitable conditions in cone metric-like spaces. Our results generalize and unify the several main results of [1.2.9].

참고문헌 (9)

  1. A. Amini-Harandi, "Metric-like spaces, partial metric spaces and fixed points", Fixed Point Theory Appl, 2012(204), pp.10~ (2012)
  2. 김승현, "Generalized fixed point theorems in cone metric spaces", 한국수학논문집, 20(3), pp.353~360 (2012), 강원경기수학회
  3. L. G. Huang, "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl, 332, pp.1468~1476 (2007)
  4. I. Altun, "Fixed point and common fixed point theorems on ordered cone metric spaces", Appl. Math. Lett, 23, pp.310~316 (2010)
  5. D. Ili´c, "Quasi-contraction on a cone metric space", Appl. Math. Lett, 22, pp.728~731 (2009)
  6. B. C. Choudhury, "Fixed points of weak contractions in cone metric spaces", Nonlinear Anal, 72, pp.1589~1593 (2010)
  7. M. Aamri, "Some new common fixed point theorems under strict contractive conditions", J. Math. Anal. Appl, 270, pp.181~188 (2002)
  8. R. P. Pant, "Fixed points of nonexpansive mappings and a generalized notion of compactness", Bull. Cal. Math. Soc, 99(1), pp.45~52 (2007)
  9. M. Abbas, "Common fixed point results for noncommuting mappings without continuity in cone metric spaces", J. Math. Anal. Appl, 341, pp.416~420 (2008)

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