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On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces

Yıl 2024, Cilt: 16 Sayı: 2, 426 - 437, 31.12.2024

İrem Eroğlu

Öz

In this paper, we prove some new fixed point results for multi-valued mappings via extended wtdistance
on complete extended b-metric spaces. We obtain a generalization of Feng and Liu [8] fixed point theorem
on multi-valued operators. Moreover, we give a homotopy application to show the applicability of our results.

Anahtar Kelimeler

extended b-metric contraction extended wt-distance wt-distance fixed point multi-valued mapping

Kaynakça

  • Adamo, M.S.S., Vetro, C., Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces, Nonlinear Analysis: Modelling and Control, 20(2)(2015), 159–174.
  • Alamgir, N., Kiran, Q., Aydi, H., Mukheimer, A., A Mizoguchi Takahashi type fixed point theorem in complete extended b-metric spaces, Mathematics, 7(2019), 478.
  • Alqahtani, B., Fulga, A., Karapınar, E., Common fixed point results on an extended b-metric space, J. Inequal. Appl. 2018(2018), 158.
  • Bakhtin, I.A., The contraction mapping principle in almost metric spaces, Func. Anal. Gos. Ped. Inst. Unianowsk, 30(1989), 26–37.
  • Chifu, C., Common fixed point results in extended b-metric spaces endowed with a directed graph, Results Nonlinear Anal., 2(1)(2019), 18–24.
  • Demma, M., Saadati R., Vetro P., Multi-valued operators with respect wt-distance on metric type spaces, Bull. Iranian Math. Soc., 42(6)(2016), 1571–82.
  • Eroğlu, I., Some fixed point results for extended Ppθ -contractions via extended wt-distance and its applications, Creat. Math. Inform., 34(1)(2024), 11–21.
  • Feng, Y., Liu, S., Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl., 371(1)(2006), 103–112.
  • Huang, H., Singh, Y.M., Khan, M.S., Radenovi´c, S., Rational type contractions in extended b-metric spaces, Symmetry, 13(2021), 614.
  • Hussain, N., Saadati, R., Agrawal, R.P., On the topology and wt-distance on metric type spaces, Fixed Point Theory Appl., 2014(2014), 88.
  • Kada, O.,Suzuki, T., Takahashi, W., Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica, 44(2)(1996), 381–391.
  • Kamran, T., Samreen, M., UL Ain, Q., A generalization of b-metric space and some fixed point theorems, Mathematics, 5(2)(2017), 19.
  • Karapınar, E., Khojasteh, F., Mitrovi´c, ZD., A proposal for revisiting Banach and Caristi type theorems in b-metric spaces, Mathematics, 7(4)(2019), 308.
  • Mizoguchi, N., Takahashi, W., Fixed point theorem for multivalued mappings on complete metric space, J. Math. Anal. Appl., 141(1989), 177–188.
  • Öztürk, V., Fixed point theorems for almost contractions in extended B-metric spaces, Universal Journal Of Mathematics And Applications, 4(3)(2021), 101–106.
  • Mitrovi´c, Z.D., Işık, H., Radenovi´c, The new results in extended b -metric spaces and applications, International Journal of Nonlinear Analysis and Applications, 11(1)(2020), 473–482
  • Romaguera, S., An application of wt-distances to characterize complete b-metric spaces, Axioms, 12(121)(2023).
  • Romaguera, S., On the correlation between Banach contraction principle and Caristi’s fixed point theorem in b-metric spaces, Mathematics, 10(136)(2022).
  • Samreen, M., Kamran, T., Postolache, M., Extended b-metric space, extended b-comparison function and nonlinear contractions, U. Politeh. Buch. Ser.A, 80(4)(2018), 21–28.
  • Shatanawi, W., Abodayeh, K., Mukheimer, A., Some fixed point theorems in extended b-metric spaces, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 80(4)(2018), 71–78.
  • Subashi, L., Some topological properties of extended b-metric space, Proceedings of The 5th International Virtual Conference on Advanced Scientific Results (SCIECONF-2017), 5(2017), 164–167.
  • Lin, L.J., Du, S., Some equivalent formulations of generalized Ekeland’s variational principle and their applications, Nonlinear Anal., 67(2007), 187–199 .
  • Vetro, C., Vetro, F., A homotopy fixed point theorem in 0-complete partial metric space, Filomat 29(9)(2015), 2037–2048.
  • Younis, M., Singh, D., Altun, I., Chauhan, V., Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar, International Journal of Nonlinear Sciences and Numerical Simulation, 23(7-8)(2022), 1239–1252.

Yıl 2024, Cilt: 16 Sayı: 2, 426 - 437, 31.12.2024

İrem Eroğlu

Öz

Kaynakça

  • Adamo, M.S.S., Vetro, C., Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces, Nonlinear Analysis: Modelling and Control, 20(2)(2015), 159–174.
  • Alamgir, N., Kiran, Q., Aydi, H., Mukheimer, A., A Mizoguchi Takahashi type fixed point theorem in complete extended b-metric spaces, Mathematics, 7(2019), 478.
  • Alqahtani, B., Fulga, A., Karapınar, E., Common fixed point results on an extended b-metric space, J. Inequal. Appl. 2018(2018), 158.
  • Bakhtin, I.A., The contraction mapping principle in almost metric spaces, Func. Anal. Gos. Ped. Inst. Unianowsk, 30(1989), 26–37.
  • Chifu, C., Common fixed point results in extended b-metric spaces endowed with a directed graph, Results Nonlinear Anal., 2(1)(2019), 18–24.
  • Demma, M., Saadati R., Vetro P., Multi-valued operators with respect wt-distance on metric type spaces, Bull. Iranian Math. Soc., 42(6)(2016), 1571–82.
  • Eroğlu, I., Some fixed point results for extended Ppθ -contractions via extended wt-distance and its applications, Creat. Math. Inform., 34(1)(2024), 11–21.
  • Feng, Y., Liu, S., Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl., 371(1)(2006), 103–112.
  • Huang, H., Singh, Y.M., Khan, M.S., Radenovi´c, S., Rational type contractions in extended b-metric spaces, Symmetry, 13(2021), 614.
  • Hussain, N., Saadati, R., Agrawal, R.P., On the topology and wt-distance on metric type spaces, Fixed Point Theory Appl., 2014(2014), 88.
  • Kada, O.,Suzuki, T., Takahashi, W., Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica, 44(2)(1996), 381–391.
  • Kamran, T., Samreen, M., UL Ain, Q., A generalization of b-metric space and some fixed point theorems, Mathematics, 5(2)(2017), 19.
  • Karapınar, E., Khojasteh, F., Mitrovi´c, ZD., A proposal for revisiting Banach and Caristi type theorems in b-metric spaces, Mathematics, 7(4)(2019), 308.
  • Mizoguchi, N., Takahashi, W., Fixed point theorem for multivalued mappings on complete metric space, J. Math. Anal. Appl., 141(1989), 177–188.
  • Öztürk, V., Fixed point theorems for almost contractions in extended B-metric spaces, Universal Journal Of Mathematics And Applications, 4(3)(2021), 101–106.
  • Mitrovi´c, Z.D., Işık, H., Radenovi´c, The new results in extended b -metric spaces and applications, International Journal of Nonlinear Analysis and Applications, 11(1)(2020), 473–482
  • Romaguera, S., An application of wt-distances to characterize complete b-metric spaces, Axioms, 12(121)(2023).
  • Romaguera, S., On the correlation between Banach contraction principle and Caristi’s fixed point theorem in b-metric spaces, Mathematics, 10(136)(2022).
  • Samreen, M., Kamran, T., Postolache, M., Extended b-metric space, extended b-comparison function and nonlinear contractions, U. Politeh. Buch. Ser.A, 80(4)(2018), 21–28.
  • Shatanawi, W., Abodayeh, K., Mukheimer, A., Some fixed point theorems in extended b-metric spaces, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 80(4)(2018), 71–78.
  • Subashi, L., Some topological properties of extended b-metric space, Proceedings of The 5th International Virtual Conference on Advanced Scientific Results (SCIECONF-2017), 5(2017), 164–167.
  • Lin, L.J., Du, S., Some equivalent formulations of generalized Ekeland’s variational principle and their applications, Nonlinear Anal., 67(2007), 187–199 .
  • Vetro, C., Vetro, F., A homotopy fixed point theorem in 0-complete partial metric space, Filomat 29(9)(2015), 2037–2048.
  • Younis, M., Singh, D., Altun, I., Chauhan, V., Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar, International Journal of Nonlinear Sciences and Numerical Simulation, 23(7-8)(2022), 1239–1252.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Topoloji
Bölüm Makaleler
Yazarlar

İrem Eroğlu 0009-0009-0147-3102

Yayımlanma Tarihi 31 Aralık 2024
Gönderilme Tarihi 13 Mart 2024
Kabul Tarihi 25 Ekim 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 16 Sayı: 2

Kaynak Göster

APA Eroğlu, İ. (2024). On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. Turkish Journal of Mathematics and Computer Science, 16(2), 426-437. https://doi.org/10.47000/tjmcs.1452547
AMA Eroğlu İ. On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. TJMCS. Aralık 2024;16(2):426-437. doi:10.47000/tjmcs.1452547
Chicago Eroğlu, İrem. “On Fixed Point Results for Some Multi-Valued Operators With Respect to Extended Wt-Distance on Extended B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 16, sy. 2 (Aralık 2024): 426-37. https://doi.org/10.47000/tjmcs.1452547.
EndNote Eroğlu İ (01 Aralık 2024) On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. Turkish Journal of Mathematics and Computer Science 16 2 426–437.
IEEE İ. Eroğlu, “On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces”, TJMCS, c. 16, sy. 2, ss. 426–437, 2024, doi: 10.47000/tjmcs.1452547.
ISNAD Eroğlu, İrem. “On Fixed Point Results for Some Multi-Valued Operators With Respect to Extended Wt-Distance on Extended B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 16/2 (Aralık 2024), 426-437. https://doi.org/10.47000/tjmcs.1452547.
JAMA Eroğlu İ. On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. TJMCS. 2024;16:426–437.
MLA Eroğlu, İrem. “On Fixed Point Results for Some Multi-Valued Operators With Respect to Extended Wt-Distance on Extended B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science, c. 16, sy. 2, 2024, ss. 426-37, doi:10.47000/tjmcs.1452547.
Vancouver Eroğlu İ. On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces. TJMCS. 2024;16(2):426-37.