Advances in Fixed Point Theory in M∗-Metric Spaces: Kannan-Type Contractions and Applications

References

REFERENCES
[1]    A. A. Malkawi, A. Talafhah, W. Shatanawi, (2022), Coincidence and fixed point Results for (ψ,L)- M- Weak Contraction Mapping on Mb-Metric Spaces, Italian journal of pure and applied mathematics, no. 47. pp 751–768.
[2]    A. Malkawi, A. Rabaiah, W. Shatanawi and A. Talafhah, (2021), MR-metric spaces and an Application, preprint.
[3]    T. Qawasmeh, (H,Ωb)- Interpolative Contractions in Ωb- Distance Mappings with Applications, European Journal of Pure and Applied Mathematics, 16(3), 1717-1730, 2023. DOI: https://doi.org/10.29020/nybg.ejpam.v16i3.4819.
[4]    Malkawi, A. A. R. M., Talafhah, A., Shatanawi, W. (2021). COINCIDENCE AND FIXED POINT RESULTS FOR GENERALIZED WEAK CONTRACTION MAPPING ON b-METRIC SPACES. Nonlinear Functional Analysis and Applications, 26(1), 177-195.
[5]    Al-deiakeh, R., Alquran, M., Ali, M., Qureshi, S., Momani, S., Malkawi, A. A. R. (2024). Lie symmetry, convergence analysis, explicit solutions, and conservation laws for the timefractional modified Benjamin-Bona-Mahony equation. Journal of Applied Mathematics and Computational Mechanics, 23(1), 19-31.
[6]    T. Qawasmeh, H-Simulation functions and Ωb-distance mappings in the setting of Gb-metricspaces and application. Nonlinear Functional Analysis and Applications,28 (2), 557-570, 2023. DOI: 10.22771/nfaa.2023.28.02.14 
[7]    A. Bataihah, T. Qawasmeh, A New Type of Distance Spaces and Fixed Point Results, Journal of Mathematical Analysis, 15 (4), 81-90, 2024. doi.org/10.54379/jma-2024-4-5
[8]    W. Shatanawi, T. Qawasmeh, A. Bataihah, and A. Tallafha, ”New Contractions and SomeFixed Point Results with Application Based on Extended Quasi b-Metric Spaces,” U.P.B. Sci. Bull., Series A, Vol. 83, No. 2, 2021, pp. 1223-7027.
[9]    T. Qawasmeh, W. Shatanawi, A. Bataihah, and A. Tallafha, ”Fixed Point Results and (α, β)-Triangular Admissibility in the Frame of Complete Extended b-Metric Spaces and Application,” U.P.B. Sci. Bull., Series A, Vol. 83, No. 1, 2021, pp. 113-124.
[10]    Bataihah, A., Shatanawi, W., and Tallafha, A. (2020). FIXED POINT RESULTS WITH SIMULATIONFUNCTIONS. Nonlinear Functional Analysis and Applications, 25(1), 13-23. DOI: 10.22771/nfaa.2020.25.01.02 
[11]    Malkawi, A. A. R. M., Mahmoud, D., Rabaiah, A. M., Al-Deiakeh, R., and Shatanawi, W.(2024). ON FIXED POINT THEOREMS IN MR-METRIC SPACES. Nonlinear Functional Analysis and Applications, 1125-1136.
[12]    Gharib, G. M., Malkawi, A. A. R. M., Rabaiah, A. M., Shatanawi, W. A., Alsauodi, M. S. (2022). A Common Fixed Point Theorem in an M*-Metric Space and an Application. Nonlinear Functional Analysis and Applications, 27(2), 289-308.
[13]    Abodayeh, K., Shatanawi, W., Bataihah, A., and Ansari, A. H. (2017). Some fixed point andcommon fixed point results through Ω-distance under nonlinear contractions. Gazi University Journal of Science, 30(1), 293-302.
[14]    Bataihah, A., Tallafha, A., and Shatanawi, W. (2020). Fixed point results with Ω-distance byutilizing simulation functions. Ital. J. Pure Appl. Math, 43, 185-196.
[15]    K. Abodayeh, A. Bataihah, and W. Shatanawi, ”Generalized Ω-Distance Mappings and SomeFixed Point Theorems,” UPB Sci. Bull. Ser. A, Vol. 79, 2017, pp. 223-232.
[16]    Qawasmeh, T., Shatanawi, W., Bataihah, A., & Tallafha, A. (2019). Common Fixed PointResults for Rational (α, β)ϕ-mω Contractions in Complete Quasi Metric Spaces. Mathematics, 7(5), 392. DOI: 10.3390/math7050392 
[17]    A. Rabaiah, A. Tallafha and W. Shatanawi, Common fixed point results for mappings undernonlinear contraction of cyclic form in b-Metric Spaces, Advances in mathematics scientific journal, 2021, 26(2), pp. 289–301.
[18]    Abu-Irwaq, I., Shatanawi, W., Bataihah, A., Nuseir, I. (2019). Fixed point results for nonlinear contractions with generalized Ω-distance mappings. UPB Sci. Bull. Ser. A, 81(1), 57-64.
[19]    Malkawi, A. A. R. M. (2025). Existence and Uniqueness of Fixed Points in MR-Metric Spacesand Their Applications. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, Vol. 18, No. 2, Article Number 6077.
[20]    Malkawi, A. A. R. M. (2025). Convergence and Fixed Points of Self-Mappings in MR-MetricSpaces: Theory and Applications. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS,Vol. 18, No. 2, Article Number 5952.
[21]    Malkawi, A. A. R. M. (2025). Fixed Point Theorem in MR-metric Spaces VIA Integral Type Contraction. WSEAS Transactions on Mathematics, 24, 295-299.
[22]    Al-Sharif, S., and Malkawi, A. (2020). Modification of conformable fractional derivative withclassical properties. Ital. J. Pure Appl. Math, 44, 30-39.
[23]    Gharib, G.M., Alsauodi, M.S., Guiatni, A., Al-Omari, M.A., Malkawi, A.A.-R.M., Using Atomic Solution Method to Solve the Fractional Equations, Springer Proceedings in Mathematics and Statistics, 2023, 418, pp. 123–129.