References

  1. Altun I., Türkoğlu D., Rhoades B.E. Fixed points of weakly compatible maps satisfying a general contractive condition of integral type. Fixed Point Theory Appl. 2007, 017301 (2007). doi:10.1155/2007/17301
  2. Acar Ö., Özkapu A.S. Multivalued rational type \(F\)-contraction on orthogonal metric space. Math. Found. Comput. 2022. doi:10.3934/mfc.2022026
  3. Acar Ö., Erdoğan E. Some fixed point results for almost contraction on orthogonal metric space. Creat. Math. Inform. 2022, 31 (2), 147–153. doi:10.37193/CMI.2022.02.01
  4. Acar Ö., Özkapu A.S., Erdoğan E. Some Fixed Point Results on Orthogonal Metric Space. Bull. Comput. Appl. Math., accepted.
  5. Aliouche A. A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type. J. Math. Anal. Appl. 2006, 322 (2), 796–802.
  6. Banach S. Sur les fonctions dérivées des fonctions mesurables. Fund. Math. 1922, 3 (1), 128–132.
  7. Branciari A. A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 2002, 29, 531–536. doi:10.1155/S0161171202007524
  8. Gordji M.E., Rameani M., Sen M., Cho Y.J. On orthogonal sets and Banach fixed point theorem. Fixed Point Theory 2017, 18, 569–578. doi:10.24193/FPT-RO.2017.2.45
  9. Gungor N.B. Extensions of Orthogonal \(p\)-Contraction on Orthogonal Metric Spaces. Symmetry 2022, 14 (4), 746. doi:10.3390/sym14040746
  10. Gordji M.E., Habibi H. Fixed point theory in generalized orthogonal metric space. J. Linear Topol. Algebra 2017, 6 (3), 251–260.
  11. Jachymski J. Remarks on contractive conditions of integral type. Nonlinear Anal. 2009, 71 (3–4), 1073–1081. doi:10.1016/j.na.2008.11.046
  12. Liu Z., Li X., Kang S.M., Cho S.Y. Fixed point theorems for mappings satisfying contractive conditions of integral type and applications. Fixed Point Theory Appl. 2011, 64. doi:10.1186/1687-1812-2011-64
  13. Liu Z., Li J., Kang S.M. Fixed point theorems of contractive mappings of integral type. Fixed Point Theory Appl. 2013, 300 (2013). doi:10.1186/1687-1812-2013-300
  14. Sawangsup K., Sintunavarat W., Cho Y.J. Fixed point theorems for orthogonal \(F\)-contraction mappings on \(O\)-complete metric spaces. J. Fixed Point Theory Appl. 2020. doi:10.1007/s11784-019-0737-4
  15. Sawangsup K., Sintunavarat W. Fixed Point Results for Orthogonal \(Z\)-Contraction Mappings in \(O\)-Complete Metric Spaces. IJAPM 2020, 10 (1). doi:10.17706/ijapm.2020.10.1.33-40