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SOME FIXED POINT THEOREMS ON CONE S-METRIC SPACES USING IMPLICIT CONTRACTIVE CONDITIONS

강미광|김성현
영남수학회 (Youngnam Mathematical Society)|2023.01|East Asian Mathematical Journal|제39권 제1호|pp. 1-10

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참고문헌

키워드

fixed pointscone S-metric spaces.
주제분류수학

초록

In this paper, we introduce two kinds of implicit conditions and establish some fixed point theorems in cone S-metric spaces, which generalize the several existing results.

Abstract

In this paper, we introduce two kinds of implicit conditions and establish some fixed point theorems in cone S-metric spaces, which generalize the several existing results.

참고문헌 (11)

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  2. D. Dhamodharan, "Cone S-metric space and fixed point theorems of contractive mappings", Annals of Pure Appl. Math, 14(2), pp.237~243 (2017)
  3. L. G. Huang, "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl, 332(2), pp.1468~1476 (2007)
  4. Z. Mustafa, "A new approach to generalized metric spaces", J. Nonlinear Convex Anal, 7, pp.289~297 (2006)
  5. V. Popa, "Fixed point theorems for implicit contractive mappings", Stud. Ceret. St. Ser. Mat. Univ. Bacau, 7, pp.127~133 (1997)
  6. V. Popa, "On some fixed point theorems for compatible mappings satisfying an implicit relation", Demonstr. Math, 32(1), pp.157~163 (1999)
  7. G. S. Saluja, "Fixed point theorems on cone S-metric spaces using implicit relation", CUBO, 22(2), pp.273~289 (2020)
  8. G. S. Saluja, "Some fixed point theorems under implicit relation on S-metric spaces", Bull. Int. Math. Virtual Inst, 11(2), pp.327~340 (2021)
  9. S. Sedghi, "A common fixed point theorem in D∗-metric spaces", Fixed Point Theory Appl (2007)
  10. S. Sedghi, "A generalization of fixed point theorems in S-metric spaces", Mat. Vesnik, 64(3), pp.258~266 (2012)
  11. S. Sedghi, "Fixed point theorems on S-metric spaces", Mat. Vesnik, 66(1), pp.113~124 (2014)

관련 논문AI추천

Fixed Points and Common Fixed Points Theorems in Cone Metrc-like Spaces강미광, 김승현영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호A common fixed point theorem for T-contractions on generalized cone \lowercase{b}-metric spacesManhala Rangamma, Pagidi Mallikarjun Reddy대한수학회 · 대한수학회논문집2017 · 제32권 제1호Some Common Fixed Point Theorems via Generalized c- DistanceRima Maitra, Sushanta Kumar Mohanta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Generalized fixed point theorems in cone metric spaces김승현, 이병수강원경기수학회 · 한국수학논문집2012 · 제20권 제3호Some Fixed Point Theorems for Multivalued Maps Satisfying an Implicit Relation on Metrically Convex SpacesDuran Turkoglu, Ishak Altun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Double Controlled Cone Metric Spaces and the Related Fixed Point TheoremsTayebeh Lal Shateri한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제1호

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