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Common fixed point results via $F$-contraction on $C^{\ast}$-algebra valued metric spaces

Ramesh Chandra Dimri|Gopi Prasad|Shivani Kukreti
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.12|한국수학논문집 (Korean Journal of Mathematics)|제31권 제4호|pp. 391-403

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참고문헌

키워드

Common fixed pointweakly compatible mappings.$F$-contraction
주제분류수학

초록

In this work, we establish common fixed point results by utilizing a variant of $F$-contraction in the framework of $C^{\ast}$-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.

Abstract

In this work, we establish common fixed point results by utilizing a variant of $F$-contraction in the framework of $C^{\ast}$-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.

참고문헌 (30)

  1. S. Banach, "Sur les operations dans les ensembles abstraits et leur application aux equations integrals", Fund. Math, 3, pp.133~181 (1922)
  2. S. G. Matthews, "Partial metric topology", Ann. N. Y. Acad. Sci, 728, pp.183~197 (1994)
  3. S. Czerwik, "Contraction mappings in b-metric spaces", Acta Math. Univ. Ostrav, 1, pp.5~11 (1993)
  4. A. Branciari, "A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces", Publ. Math, 57, pp.31~37 (2000)
  5. M. Abbas, "Common fixed point results for noncommuting mappings without continuity in cone metric spaces", J. Math. Anal. Appl, 341, pp.416~420 (2008)
  6. J. Jachymski, "The contraction principle for mappings on a metric space with a graph", Proc. Am. Math. Soc, 136(4), pp.1359~1373 (2008)
  7. Y. J. Cho, "Common fixed point theorems on generalized distance in ordered cone metric spaces", Comput. Math. Appl, 61, pp.1254~1260 (2011)
  8. Ramesh Chandra Dimri, "Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spaces", 대한수학회논문집, 32(2), pp.375~387 (2017), 대한수학회
  9. G. Prasad, "Fixed point theorems via w-distance in relational metric spaces with an application", Filomat, 34(6), pp.1889~1898 (2020)
  10. Gopi Prasad, "Fixed points of Suzuki contractive mappings in relational metric spaces", Rendiconti del Circolo Matematico di Palermo Series 2, 69(3), pp.1347~1358 (2019), Springer Science and Business Media LLC[DOI]
  11. G. Prasad, "Fixed points of JS-contractive mappings with applications", J. Anal, 31(4), pp.2687~2701 (2023)[DOI]
  12. D. Wardowski, "Fixed points of a new type of contractive mappings in complete metric spaces", Fixed Point Theory Appl, 94 (2012)
  13. D. Wardwoski, "Fixed points of F-weak contraction on complete metric spaces", Demonstr. Math, 47 (2014)
  14. D. Klim, "Fixed points of dynamic processes of set-valued F contractions and application to functional equations", Fixed Point Theory Appl, 22 (2015)
  15. I. Altun, "Multivalued F-contractions on complete metric spaces", J. Nonlinear Convex Anal, 16, pp.659~666 (2015)
  16. M. Nazam, "Fixed point theorems for F-contractions on closed ball in partial metric spaces", J. Comput. Anal. Appl, 27, pp.759~769 (2019)
  17. Z. H. Ma, "C ∗-algebra valued metric spaces and related fixed point theorems", Fixed Point Theory Appl, 206 (2014)
  18. Z.H. Ma, "C ∗-algebra valued b-metric spaces and related fixed point theorems", Fixed Point Theory Appl, 222 (2015)[DOI]
  19. M. E. Ege, "C ∗-algebra-valued S-metric spaces", Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat, 67(2), pp.165~177 (2018)
  20. Nabil Mlaiki, "C*-Algebra Valued Partial b-Metric Spaces and Fixed Point Results with an Application", Mathematics, 8(8), pp.1381~ (2020), MDPI AG[DOI]
  21. J. U. Maheswari, "Solving an integral equation via C ∗-algebra-valued partial b-metrics", Fixed Point Theory Algorithms Sci Eng, 2022, pp.18~ (2022)
  22. W. Tapanyo, "Completion of C ∗-algebra-valued metric spaces", Thai J. Math, 20(3), pp.1119~1136 (2022)
  23. G. Mani, "Fixed point results in C ∗-algebravalued partial b-metric spaces with related application", Mathematics, 11(5), pp.1~9 (2023)
  24. M. Paul, "Some unique common fixed point results on C∗-algebra valued metric space using C∗-class function", Ann. Math. Comput. Sci, 16, pp.1~20 (2023)
  25. S. Narzary, "C ∗-algebra-valued partial modular metric spaces and some fixed point results", Symmetry, 15(6), pp.1135~ (2023)
  26. X. Qiaoling, "Common fixed point theorems in C ∗-algebra valued metric spaces", J. Nonlinear Sci. Appl, 9, pp.4617~4627 (2016)
  27. D. El. Moutawakil, "Some new common fixed point theorems under strict contractive conditions", J. Math. Anal. Appl, 270, pp.181~188 (2002)
  28. P. Kumam, "Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space", J. Appl. Math, 2011 (2011)[DOI]
  29. K. Goebel, "A coincidence theorem", Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys, 16, pp.733~735 (1968)
  30. G. Jungck, "Fixed points for set valued functions without continuity", Indian J. Pure Appl. Math, 29(3), pp.227~238 (1998)

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