Some critical remarks on recent results concerning F−contractions in b-metric spaces
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This paper aims to correct recent results on a generalized class of F−contractions in the context of b−metric spaces. The significant work consists of repairing some novel results involving F−contraction within the struc-ture of b-metric spaces. Our objective is to take advan-tage of the property (F 1) instead of the four properties viz. (F 1), (F 2), (F 3) and (F 4) applied in the results of Nazam et al. [“Coincidence and common fixed point theorems for four mappings satisfying (αs, F)−contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664–690, 2018]. Our approach of proving the results uti-lizing only the condition (F 1) enriches, improves, and condenses the proofs of a multitude of results in the ex-isting state-of-art. © 2023 M. Younis et al.
Кључне речи:
b−metric space / F−contraction / υs−complete / b−common fixed pointИзвор:
Cubo, 2023, 25, 1, 57-66Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200122 (Универзитет у Крагујевцу, Природно-математички факултет) (RS-MESTD-inst-2020-200122)
Институција/група
VinčaTY - JOUR AU - Younis, Mudasir AU - Mirkov, Nikola S. AU - Savić, Ana AU - Pantović, Mirjana AU - Radenović, Stojan PY - 2023 UR - https://vinar.vin.bg.ac.rs/handle/123456789/11206 AB - This paper aims to correct recent results on a generalized class of F−contractions in the context of b−metric spaces. The significant work consists of repairing some novel results involving F−contraction within the struc-ture of b-metric spaces. Our objective is to take advan-tage of the property (F 1) instead of the four properties viz. (F 1), (F 2), (F 3) and (F 4) applied in the results of Nazam et al. [“Coincidence and common fixed point theorems for four mappings satisfying (αs, F)−contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664–690, 2018]. Our approach of proving the results uti-lizing only the condition (F 1) enriches, improves, and condenses the proofs of a multitude of results in the ex-isting state-of-art. © 2023 M. Younis et al. T2 - Cubo T1 - Some critical remarks on recent results concerning F−contractions in b-metric spaces VL - 25 IS - 1 SP - 57 EP - 66 DO - 10.56754/0719-0646.2501.057 ER -
@article{ author = "Younis, Mudasir and Mirkov, Nikola S. and Savić, Ana and Pantović, Mirjana and Radenović, Stojan", year = "2023", abstract = "This paper aims to correct recent results on a generalized class of F−contractions in the context of b−metric spaces. The significant work consists of repairing some novel results involving F−contraction within the struc-ture of b-metric spaces. Our objective is to take advan-tage of the property (F 1) instead of the four properties viz. (F 1), (F 2), (F 3) and (F 4) applied in the results of Nazam et al. [“Coincidence and common fixed point theorems for four mappings satisfying (αs, F)−contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664–690, 2018]. Our approach of proving the results uti-lizing only the condition (F 1) enriches, improves, and condenses the proofs of a multitude of results in the ex-isting state-of-art. © 2023 M. Younis et al.", journal = "Cubo", title = "Some critical remarks on recent results concerning F−contractions in b-metric spaces", volume = "25", number = "1", pages = "57-66", doi = "10.56754/0719-0646.2501.057" }
Younis, M., Mirkov, N. S., Savić, A., Pantović, M.,& Radenović, S.. (2023). Some critical remarks on recent results concerning F−contractions in b-metric spaces. in Cubo, 25(1), 57-66. https://doi.org/10.56754/0719-0646.2501.057
Younis M, Mirkov NS, Savić A, Pantović M, Radenović S. Some critical remarks on recent results concerning F−contractions in b-metric spaces. in Cubo. 2023;25(1):57-66. doi:10.56754/0719-0646.2501.057 .
Younis, Mudasir, Mirkov, Nikola S., Savić, Ana, Pantović, Mirjana, Radenović, Stojan, "Some critical remarks on recent results concerning F−contractions in b-metric spaces" in Cubo, 25, no. 1 (2023):57-66, https://doi.org/10.56754/0719-0646.2501.057 . .