Some critical remarks on recent results concerning ϝ−contractions in b-metric spaces

Mudasir Younis; Nikola Mirkov; Ana Savić; Mirjana Pantović; Stojan Radenovic

Ayuda

Some critical remarks on recent results concerning ϝ−contractions in b-metric spaces

Autores: Mudasir Younis, Nikola Mirkov, Ana Savić, Mirjana Pantović, Stojan Radenovic
Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 1, 2023, págs. 57-66
Idioma: inglés
DOI: 10.56754/0719-0646.2501.057
Enlaces
- Texto completo
Resumen
- español
  Resumen Este artículo tiene por objetivo corregir resultados recientes sobre una clase generalizada de ϝ −contracciones en el contexto de b−espacios métricos. El trabajo significativo consiste en reparar algunos resultados nuevos que involucran ϝ −contracciones en la estructura de b-espacios métricos. Nuestro objetivo es aprovechar la propiedad (F1) en vez de las cuatro propiedades viz. (F1), (F2), (F3) y (F4) aplicadas en los resultados de 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]. Nuestro enfoque para probar los resultados usando solo la condición (F1) enriquece, mejora y condensa las demostraciones de una multitud de resultados en el estado del arte existente.
- English
  Abstract This paper aims to correct recent results on a generalized class of ϝ −contractions in the context of b−metric spaces. The significant work consists of repairing some novel results involving ϝ −contraction within the structure of b-metric spaces. Our objective is to take advantage of the property (F1) instead of the four properties viz. (F1), (F2), (F3) and (F4) 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 utilizing only the condition (F1) enriches, improves, and condenses the proofs of a multitude of results in the existing state-of-art.
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