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F-contraction in Partially Ordered b-metric like Spaces

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In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.

Abstract

In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.

참고문헌 (21)

  1. M. Abbas, "Fixed point results for generalized cyclic contrac-tion mappings in partial metric spaces", RACSAM, 106, pp.287~297 (2012)[DOI]
  2. M. A. Alghamdi, "Fixed point and coupled fixed point theo-rems on b-metric-like spaces", J. Inequal. Appl, 2013, pp.402~ (2013)[DOI]
  3. I. Altun, "Generalized contractions on partial metric spaces", Topology and Its Applications, 157(18), pp.2778~2785 (2010)[DOI]
  4. I. Altun, "Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point", Applicable Analysis and Discrete Mathematics, 6(2), pp.247~256 (2012)[DOI]
  5. A. Amini-Harandi, "Metric-like spaces, partial metric spaces and fixed points", Fixed Point Theory and Applications, 2012, pp.204~ (2012)[DOI]
  6. H. Aydi, "Berinde-type generalized contractions on partial metric spaces", Abstract and Applied Analysis, pp.312479~ (2013)[DOI]
  7. H. Aydi, "Common fixed points for generalized α-implicit contractions in partial metric spaces, consequences and application", RACSAM, 109, pp.367~384 (2015)[DOI]
  8. I. A. Bakhtin, "The contraction mapping principle in quasi metric spaces", Funct. Anal. Unianowsk Gos. Ped. Inst, 30, pp.26~37 (1989)
  9. S. Chandok, "Some fixed point theorems for(α, β)-admissible geraghty type contrac-tive mappings and related results", Math Sci, 9, pp.127~135 (2015)[DOI]
  10. C. F. Chen, "Some fixed point theorems in b-metric-like spaces", Fixed Point Theory Appl, 2015 (2015)[DOI]
  11. S. Czerwik, "Contraction mappings in b-metric spaces", Acta Math. Inform. Univ. Ostrav, 1, pp.5~11 (1993)
  12. S. Czerwik, "Nonlinear set-valued contraction mappings in b-metric spaces", Atti Semin. Mat. Fis. Univ. Modena, 46, pp.263~276 (1998)
  13. R.C. Dimri, "Coincidence theorems for comparable generalized nonlinear contractions in ordered partial metric spaces", Commun. Korean Math. Soc, 32(2), pp.375~387 (2017)[DOI]
  14. M. Geraghty, "On contractive mappings", Proc. Amer. Math. Soc, 40, pp.604~608 (1973)
  15. S.K. Malhotra, "Some fixed point results without monotone property in partially ordered metric-like spaces", Journal of the Egyptian Mathematical Society, 22, pp.83~89 (2014)[DOI]
  16. S. G. Matthews, "Partial metric topology, in Proceeding of the 8th summer conference on General Topology and Application", Ann. New York Acad. Sci, 728, pp.183~197 (1994)
  17. H. Piri, "Some fixed point theorems concerning F-contraction in complete metric spaces", Fixed Point Theory and Appl, 2014, pp.210~ (2014)[DOI]
  18. G. Prasad, "Fixed points of Kannan contractive mappings in relational metric spaces", J. Anal, 29, pp.669~684 (2021)[DOI]
  19. G. Prasad, "On Solution of Boundary Value Problems via Weak Contrac-tions", Journal of Function Spaces, 2022, pp.6799205~ (2022)[DOI]
  20. N. A. Secelean, "Iterated function system consisting of F-contractions", Fixed Point The-ory and Appl, 2013, pp.277~ (2013)[DOI]
  21. D. Wardowski, "Fixed points of a new type of contractive mappings in complete metric spaces", Fixed Point Theory and Appl, 2012, pp.94~ (2012)[DOI]

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