본문 바로가기
KERD
논문KCI 등재

Fixed Point Theorems for (φ, F)-­contraction in Generalized Asymmetric Metric Spaces

이정례|Abdelkarim Kari|Mohamed Rossafi
한국수학교육학회|2022.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제29권 제4호|pp. 369-399

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

fixed point(φθ-φ-contractiongeneralized asymmetric metric spaceF)-contraction
주제분류수학

초록

In the last few decades, a lot of generalizations of the Banach contraction principle have been introduced. In this paper, we present the notion of (φ, F)-contraction in generalized asymmetric metric spaces and we investigate the existence of fixed points of such mappings. We also provide some illustrative examples to show that our results improve many existing results.

Abstract

In the last few decades, a lot of generalizations of the Banach contraction principle have been introduced. In this paper, we present the notion of (φ, F)-contraction in generalized asymmetric metric spaces and we investigate the existence of fixed points of such mappings. We also provide some illustrative examples to show that our results improve many existing results.

참고문헌 (21)

  1. A.M. Aminpour, "Some results in asymmetric metric spaces", Math. Eterna, 2(6), pp.533~540 (2012)
  2. S. Banach, "Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales", Fund. Math, 3, pp.133~181 (1922)
  3. A. Branciari, "A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces", Publ. Math. Debrecen, 57, pp.31~37 (2000)
  4. M. Jleli, "Further generalizations of the Banach contraction principle", J. Inequal. Appl, 2014(439) (2014)
  5. M. Jleli, "A new generalization of the Banach contraction principle", J. Inequal. Appl, 2014(38) (2014)
  6. R. Kannan, "Some results on fixed points-II", Amer. Math. Monthly, 76, pp.405~408 (1969)
  7. A. Kari, "Fixed-point theorems for θ-φcontraction in generalized asymmetric metric spaces", Int. J. Math. Math. Sci, (2020) (2020)
  8. A. Kari, "New fixed point theorems for θ-φcontraction on complete rectangular b-metric spaces", Abstr. Appl. Anal, (2020) (2020)
  9. A. Kari, "Fixed-point theorem for nonlinear F-contraction via w-distance", Adv. Math. Phys (2020)
  10. W.A. Kirk, "Generalized metrics and Caristi’s theorem", Fixed Point Theory Appl, 2013(129) (2013)
  11. On asymmetric distances. Technical Report, "A. Mennucci", Scuola Normale Superiore, ~ (2004)
  12. H. Piri, "Some fixed point theorems concerning F-contraction in complete metric spaces", Fixed Point Theory Appl, (2014) (2014)
  13. H. Piri, "F-Contraction on asymmetric metric spaces", J. Math. Comput. Sci, 17, pp.32~40 (2017)
  14. Hossein Piri, "Some fixed point theorems on generalized asymmetric metric spaces", Asian-European Journal of Mathematics, 14(07), pp.2150109~ (2020), World Scientific Pub Co Pte Lt[DOI]
  15. S. Reich, "Some remarks concerning contraction mappings", Canad. Math. Bull, 14(2), pp.121~124 (1971)
  16. I.L. Reilly, "Cauchy sequences in quasipseudometric spaces", Monatsh. Math, 93(2), pp.127~140 (1982)
  17. B. Samet, "Discussion on a fixed point theorem of Banach-Cacciopli type on a class of generalized metric spaces", Publ. Math. Debrecen, 76, pp.493~494 (2010)
  18. D. Wardowski, "Fixed points of a new type of contractive mappings in complete metric spaces", Fixed Point Theory Appl, (2012) (2012)
  19. D. Wardowski, "Solving existence problems via F-contractions", Proc. Am. Math. Soc., 146, pp.1585~1598 (2018)
  20. D. Wardowski, "Fixed points of F-weak contractions on complete metric spaces", Demonstr. Math, 47, pp.146~155 (2014)
  21. W. A. Wilson, "On quasi-metric spaces", Amer. J. Math, 53, pp.675~684 (1931)

관련 논문AI추천

Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Fixed point theorems for generalized Suzuki-Berinde type $\mathcal{L}_{\gamma}$-contractions in Branciari distance spaces조성훈기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제1호On common fixed points for generalized contractive type mappings in ordered metric spacesSumit Chandok장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호Best Proximity Point Theorems for Cyclic θ-­φ-­contraction on Metric Spaces이정례, Abdelkarim Kari, Mohamed Rossafi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE TYPE MAPPINGS IN SYMMETRIC SPACES김동준, 조성훈강원경기수학회 · 한국수학논문집2008 · 제16권 제4호Fixed point theorems in controlled rectangular metric spacesAbdelkarim Kari, Mohamed Rossafi한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제2호

이 간행물의 다른 논문 (8건)

Iterating a system of set-valued variational inclusion problems in semi-inner product spacesSumeera Shafipp. 255-275Some Types of Slant Submanifolds of Bronze Reimannian ManifoldsTuba ACET, Bilal Eftal ACETpp. 277-291δ-­convex Structure on Rectangular Metric Spaces concerning Kannan­-type Contraction and Reich­-type ContractionDileep Kumar Sharma, Jayesh Tiwaripp. 293-306Estimate of Third Order Hankel Determinant for a Certain Subclass of Analytic Functions associated with Cardioid DomainGurcharanjit Singh, Gagandeep Singhpp. 307-319A Class of Structured Frames in Finite Dimensional Hilbert SpacesT. C. Easwaran Nambudiri, Jineesh Thomas, N. M. Madhavan Namboothiripp. 321-334
원문 보기