New Significant Contractions in the Frame of Gamma-k Distance Mapping With Application

Article Sidebar

PDF
DOI: https://doi.org/10.28924/2291-8639-24-2026-234
Published: Aug 3, 2026
Cite as:
Tariq Qawasmeh, Jamal Abu Najm, New Significant Contractions in the Frame of Gamma-k Distance Mapping With Application, Int. J. Anal. Appl., 24 (2026), 234.

Main Article Content

Tariq Qawasmeh, Jamal Abu Najm

Abstract

This manuscript is primarily concerned with the formulation of two new distinct contractions, namely \(\gamma-k\) and \(H-\gamma(k)\) mixed power type contractions. These new contractions are based on the concept of \(\gamma-k\) distance mapping. A significant application and examples are also provided to illustrate the importance of the findings.

Article Details

References

  1. S. Banach, Sur les Opérations dans les Ensembles Abstraits et Leur Application aux Equations Intégrales, Fundam. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181.
  2. R. Kannan, Some Results on Fixed Points, Bull. Calcutta Math. Soc. 60 (1968), 71-76.
  3. S.K. Chatterjea, Fixed Point Theorems for a Sequence of Mappings with Contractive Iterates, Publ. Inst. Math. 14 (1972), 15-18.
  4. T. Qawasmeh, A. Bataihah, A.A. Hazaymeh, R. Hatamleh, R. Abdelrahim, et al., New Fixed Point Results for Gamma Interpolative Contractions through Gamma Distance Mappings, WSEAS Trans. Math. 24 (2025), 424-430. https://doi.org/10.37394/23206.2025.24.40.
  5. T. Qawasmeh, A. Tallafha, W. Shatanawi, Fixed and Common Fixed Point Theorems through Modified ω-Distance Mappings, Nonlinear Funct. Anal. Appl. 24 (2019), 221-239. http://nfaa.kyungnam.ac.kr/journal-nfaa.
  6. K. Abodayeh, T. Qawasmeh, W. Shatanawi, A. Tallafha, φ-Contraction and Some Fixed Point Results via Modified ω-Distance Mappings in the Frame of Complete Quasi Metric Spaces and Applications, Int. J. Electr. Comput. Eng. 10 (2020), 3839. https://doi.org/10.11591/ijece.v10i4.pp3839-3853.
  7. A.A. Hazaymeh, I.B. Abdullah, Z.T. Balkhi, R.I. Ibrahim, Generalized Fuzzy Soft Expert Set, J. Appl. Math. 2012 (2012), 328195. https://doi.org/10.1155/2012/328195.
  8. H. Aydi, E. Karapinar, M. Postolache, Tripled Coincidence Point Theorems for Weak φ-Contractions in Partially Ordered Metric Spaces, Fixed Point Theory Appl. 2012 (2012), 44. https://doi.org/10.1186/1687-1812-2012-44.
  9. A. Bataihah, Some Fixed Point Results with Application to Fractional Differential Equation via New Type of Distance Spaces, Results Nonlinear Anal. 7 (2024), 202-208. https://doi.org/10.31838/rna/2024.07.03.015.
  10. A. Bataihah, T. Qawasmeh, A New Type of Distance Spaces and Fixed Point Results, J. Math. Anal. 15 (2024), 81-90. https://doi.org/10.54379/jma-2024-4-5.
  11. I. Abu-Irwaq, I. Nuseir, A. Bataihah, Common Fixed Point Theorems in G-Metric Spaces with Ω-Distance, J. Math. Anal. 8 (2017), 120-129.
  12. A.M. Malkawi, A.M. Rabaiah, Fixed Point Theorems in Neutrosophic MR-Metric Spaces with Measure-Theoretic Convergence, Int. J. Anal. Appl. 24 (2026), 61. https://doi.org/10.28924/2291-8639-24-2026-61.
  13. T. Qawasmeh, A.A. Malkawi, Fixed Point Theory in MR-Metric Spaces: Fundamental Theorems and Applications to Integral Equations and Neutron Transport, Eur. J. Pure Appl. Math. 18 (2025), 6440. https://doi.org/10.29020/nybg.ejpam.v18i3.6440.
  14. W. Shatanawi, A. Bataihah, A. Pitea, Fixed and Common Fixed Point Results for Cyclic Mappings of Ω-Distance, J. Nonlinear Sci. Appl. 09 (2016), 727-735. https://doi.org/10.22436/jnsa.009.03.02.
  15. A. Anwar, Fixed Point Results of Geraghty Type Contractions with Equivalent Distance, Int. J. Neutrosophic Sci. 25 (2025), 177-186. https://doi.org/10.54216/IJNS.250316.
  16. W. Shatanawi, G. Maniu, A. Bataihah, F. Bani Ahmad, Common Fixed Points for Mappings of Cyclic Form Satisfying Linear Contractive Conditions with Omega-Distance, U.P.B. Sci. Bull., Ser. A. 79 (2017), 11-20.
  17. A.A. Hazaymeh, A. Bataihah, Neutrosophic Fuzzy Metric Spaces and Fixed Points for Contractions of Nonlinear Type, Neutrosophic Sets Syst. 77 (2025), 96-112.
  18. A. Bataihah, T. Qawasmeh, M. Shatnawi, Discussion on b-Metric Spaces and Related Results in Metric and G-Metric Spaces, Nonlinear Funct. Anal. Appl. 27 (2022), 233-247. https://doi.org/10.22771/nfaa.2022.27.02.02.
  19. F. Uddin, U. Ishtiaq, A. Hussain, K. Javed, H. Al Sulami, et al., Neutrosophic Double Controlled Metric Spaces and Related Results with Application, Fractal Fract. 6 (2022), 318. https://doi.org/10.3390/fractalfract6060318.
  20. H. Ahmad, M. Younis, A.A.N. Abdou, Bipolar b-Metric Spaces in Graph Setting and Related Fixed Points, Symmetry 15 (2023), 1227. https://doi.org/10.3390/sym15061227.
  21. M.U. Ali, T. Kamran, M. Postolache, Fixed Point Theorems for Multivalued G-Contractions in Hausdorff b-Gauge Spaces, J. Nonlinear Sci. Appl. 08 (2015), 847-855. https://doi.org/10.22436/jnsa.008.05.34.
  22. A. Bejenaru, M. Postolache, On Suzuki Mappings in Modular Spaces, Symmetry 11 (2019), 319. https://doi.org/10.3390/sym11030319.
  23. S. Chandok, M. Postolache, Fixed Point Theorem for Weakly Chatterjea-Type Cyclic Contractions, Fixed Point Theory Appl. 2013 (2013), 28. https://doi.org/10.1186/1687-1812-2013-28.
  24. A. Bataihah, A. Hazaymeh, Quasi Contractions and Fixed Point Theorems in the Context of Neutrosophic Fuzzy Metric Spaces, Eur. J. Pure Appl. Math. 18 (2025), 5785. https://doi.org/10.29020/nybg.ejpam.v18i1.5785.
  25. M. Jleli, B. Samet, A New Generalization of the Banach Contraction Principle, J. Inequal. Appl. 2014 (2014), 38. https://doi.org/10.1186/1029-242x-2014-38.
  26. T. Kamran, M. Samreen, Q. UL Ain, A Generalization of B-Metric Space and Some Fixed Point Theorems, Mathematics 5 (2017), 19. https://doi.org/10.3390/math5020019.
  27. A. Bataihah, A.H. Ansari, S.H.J. Petroudi, T. Qawasmeh, A. Hazaymeh, Gamma-K Distance and Fixed Point Theorems, Gulf J. Math. 20 (2025), 275-287. https://doi.org/10.56947/gjom.v20i2.3169.
  28. A. Bataihah, T. Qawasmeh, I.M. Batiha, I.H. Jebril, T. Abdeljawad, Gamma Distance Mappings with Application to Fractional Boundary Differential Equation, J. Math. Anal. 15 (2024), 99-106. https://doi.org/10.54379/jma-2024-5-7.
  29. A. Bataihah, M. Shatnawi, Fixed Point Results for Mixed Power-Type Contractions on Complete Metric Spaces, Nonlinear Funct. Anal. Appl. 30 (2025), 1223-1236. https://doi.org/10.22771/nfaa.2025.30.04.15.
  30. A. Bataihah, W. Shatanawi, T. Qawasmeh, R. Hatamleh, On H-Simulation Functions and Fixed Point Results in the Setting of ωt-Distance Mappings with Application on Matrix Equations, Mathematics 8 (2020), 837. https://doi.org/10.3390/math8050837.
  31. T. Qawasmeh, (H, Ωb)-Interpolative Contractions in Ωb-Distance Mappings with Application, Eur. J. Pure Appl. Math. 16 (2023), 1717-1730. https://doi.org/10.29020/nybg.ejpam.v16i3.4819.
  32. T. Qawasmeh, h-Simulation Functions and Ωb-Distance Mappings in the Setting of Gb-Metric Spaces and Application, Nonlinear Funct. Anal. Appl. 28 (2023), 557-570. https://doi.org/10.22771/nfaa.2023.28.02.14.
  33. T. Qawasmeh, R. Hatamleh, A New Contraction Based on H-Simulation Functions in the Frame of Extended b-Metric Spaces and Application, Int. J. Electr. Comput. Eng. 13 (2023), 4212. https://doi.org/10.11591/ijece.v13i4.pp4212-4221.