Fixed point results for cyclic α–ψϕ-contractions with application to integral equations

P. Salimi ^[1] ; N. Hussain ^[2] ; S. Shukla ^[4] ; Sh. Fathollahi ^[1] ; S. Radenović ^[3]
1. [1] Islamic Azad University
  
  Islamic Azad University
  
  Irán
2. [2] King Abdulaziz University
  
  King Abdulaziz University
  
  Arabia Saudí
3. [3] Dong Thap University
  
  Dong Thap University
  
  Vietnam
4. [4] Shri Vaishnav Institute of Technology & Science, India
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Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 445-458
Idioma: inglés
DOI: 10.1016/j.cam.2015.05.017
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Resumen
- In this paper, we introduce the notions of α–ψϕ-contractive and cyclic α–ψϕ-contractive mappings and establish the existence and uniqueness of fixed points for such mappings in complete metric-like spaces. The results presented here substantially generalize and extend several comparable results in the existing literature, in particular those of Karapinar and Salimi (2013). As an application, we prove new fixed point results for ψϕ-graphic and cyclic ψϕ-graphic contractive mappings. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.