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Generalized fixed point theorems in cone metric spaces

이병수|김승현
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2012.09|한국수학논문집 (Korean Journal of Mathematics)|제20권 제3호|pp. 353-360

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참고문헌

키워드

fixed pointcommon fixed pointcontractive mappingcone metric spacequasi weak contractive mappingthe property $(EA)$the property $(C)$coincidence point.
주제분류수학

초록

In this paper we introduce the property (C), which is a cone metric extension of the usual metric property (E,A) and con-sider xed point theorems for generalized contractive mappings un-der suitable conditions in cone metric spaces without normal cones.

Abstract

In this paper we introduce the property (C), which is a cone metric extension of the usual metric property (E,A) and con-sider xed point theorems for generalized contractive mappings un-der suitable conditions in cone metric spaces without normal cones.

참고문헌 (11)

  1. L.G. Huang, "Cone metric spaces and xed point theorems of con- tractive mappings", J. Math. Anal. Appl, 332, pp.1468~1476 (2007)
  2. D. Wardowski, "On set-valued contractions of Nadler type in cone metric spaces", Appl. Math. Lett, 24, pp.275~278 (2011)
  3. I. Altun, "Fixed point and common xed point theorems on ordered cone metric spaces", Appl. Math. Lett, 23, pp.310~316 (2010)
  4. D. Ilic, "Quasi-contraction on a cone metric space", Appl. Math. Lett, 22, pp.728~731 (2009)
  5. D. Klim, "Dynamic processes and xed points of set-valued nonlinear contraction in cone metric spaces", Nonlinear Anal, 71, pp.5170~5175 (2009)
  6. B.C. Choudhury, "Fixed points of weak contractions in cone metric spaces", Nonlinear Anal, 72, pp.1589~1593 (2010)
  7. P.N. Dutta, "A generalisation of contraction principle in metric spaces", Fixed Point Theory Appl, pp.8~ (2008)
  8. M. Aamri, "Some new common xed point theorems under strict contractive conditions", J. Math. Anal. Appl, 270, pp.181~188 (2002)
  9. R.P. Pant, "Fixed points of nonexpansive mappings and a generalized notion of compactness", Bull. Calcutta Math. Soc, 99(1), pp.45~52 (2007)
  10. M. Abbas, "Common xed point results for noncommuting map- pings without continuity in cone metric spaces", J. Math. Anal. Appl, 341, pp.416~420 (2008)
  11. H.R. Zhao, "Common xed points for generalized weakly contractive mappings in cone metric spaces", Nonlinear Anal. Forum, 16, pp.77~84 (2011)

관련 논문AI추천

Fixed Points and Common Fixed Points Theorems in Cone Metrc-like Spaces강미광, 김승현영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호Some Common Fixed Point Theorems via Generalized c- DistanceRima Maitra, Sushanta Kumar Mohanta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Fixed point theorems for generalized nonexpansive set-valued mappings in cone metric spaces김승현, 이병수영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호SOME FIXED POINT THEOREMS ON CONE S-METRIC SPACES USING IMPLICIT CONTRACTIVE CONDITIONS강미광, 김성현영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Fixed point theorems on generalized cone metric spaces over Banach algebras and applicationsJiandong Yin, Qianqian Leng대한수학회 · 대한수학회지2018 · 제55권 제6호A Fixed Point on Generalised Cone Metric SpacesManojit Maity, Sudip Kumar Pal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호

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