Fixed points in generalized Alfa-Beta-FG contractions in b-metric spaces
Gehad M. Abd-Elhamedgehadmahfood@gmail.comAffiliation 1Department of MathematicsFaculty of Science and HumanitiesPrince Sattam Bin Abdulaziz UniversityAl-Kharj, 11942, Saudi ArabiaAffiliation 2Department of MathematicsCollege of GirlsAin Shams UniversityEgyptView full profile → , *A. A. AzzamCorresponding authorazzam0911@yahoo.comAffiliation 1Department of MathematicsFaculty of Science and HumanitiesPrince Sattam Bin Abdulaziz UniversityAl-Kharj, 11942, Saudi ArabiaAffiliation 2Department of MathematicsFaculty of ScienceNew Valley UniversityElkharga, 72511, EgyptView full profile →
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- Received:
- 08 May 2024
- Published Online:
- 15 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2126
- Pages:
- 677–689
Abstract
Keywords
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References
[1] M. Abbas, B. Ali, and S. Romaguera, “Fixed and periodic points of generalized contractions in metric spaces,” Fixed Point Theory Appl., vol. 2013, p. 243 (2013).
[2] I. A. Bakhtin, “The contraction principle in quasimetric spaces [in Russian],” Funk An Ulianowsk Gos Ped Inst., vol. 30, pp. 26–37 (1989).
[3] S. Czerwik, “Contraction mappings in b-metric spaces,” Acta Math. Inf. Univ. Ostrav., vol. 1, pp. 5–11 (1993).
[4] S. Czerwik, “Nonlinear set-valued contraction mappings in b-metric spaces,” Atti Sem. Mat. Fis. Univ. Modena, vol. 46, pp. 263–276 (1998).
[5] V. Gupta and R. Saini, “Some new coupled fixed point results in complex value b-metric spaces,” Int. J. Syst. Assur. Eng. Manag., vol. 14, pp. 2579–2585 (2023).
[6] N. Hala, K. Habita, and S. Beloul, “Fixed point results for generalized contractions via simulation functions in dislocated quasi b-metric space,” J. Anal. (2024).
[7] N. Hussain, M. A. Kutbi, and P. Salimi, “Fixed point theory in complete metric spaces with applications,” p. 280817 (204).
[8] H. Hussain, P. Salimi, and A. Latif, “Fixed point results for single and set-valued α–η–Ψ contractive mappings,” Fixed Point Theory Appl., vol. 2013, p. 212 (2013).
[9] N. Hussain, D. -Doric, Z. Kadelburg, and S. Radenovic, “Generalized Wardowski type fixed point theorems via α-admissible FG contractions in b-metric spaces,” Acta Mathematica Scientia, vol. 36B, no. 5, pp. 1445–1456 (2016).
[10] K. Karapnar, P. Kumam, and P. Salimi, “On α–Ψ–Meir-Keeler contractive mappings,” Fixed Point Theory Appl., vol. 2013, p. 94 (2013).
[11] M. A. Khamsi and N. Hussain, “KKM mappings in metric type spaces,” Nonlinear Anal., vol. 73, no. 9, pp. 3123–3129 (2010).
[12] P. Salimi, A. Latif, and H. Hussain, “Modified α–Ψ–contractive mappings with applications,” Fixed Point Theory Appl., vol. 2013, p. 151 (2013).
[13] B. Samet, C. Vetro, and P. Vetro, “Fixed point theorem for α–Ψ–contractive type mappings,” Nonlinear Anal., vol. 75, pp. 2154–2165 (2012).
[14] D. Wardowski, “Fixed points of a new type of contractive mappings in complete metric spaces,” Fixed Point Theory Appl., vol. 2012, p. 94 (2012).
[15] D. Wardowski and N. Van Dung, “Fixed points of F-weak contractions on complete metric spaces,” Demonstratio Math., vol. 47, no. 1, pp. 146–155 (2014).
[16] H. Piri and P. Kumam, “Some fixed point theorems concerning F-contraction in complete metric spaces,” Fixed Point Theory Appl., vol. 2014, p. 210 (2014).




