Common fixed point results via implicit contractions for multi-valued mappings on b-metric like spaces

References

• Alghamdi, M.-A., Hussain, N., & Salimi, P. (2013). Fixed point and coupled fixed point theorems on b-metric-like spaces. Journal of Inequalities and Applications, 2013(402), 45. doi:10.1186/1029-242X-2013-402
   Google Scholar
• Ali, M.-U., Kamran, T., & Karapnar, E. (2014). (α, ψ, ξ) -contractive multivalued mappings. Fixed Point Theory and Applications, 2014, 8. doi:10.1186/1687-1812-2014-7
   Google Scholar
• Amini-Harandi, A. (2014). Metric-like spaces, partial metric spaces and fixed points. Fixed Point Theory and Applications, 2014(404), 10.
   Google Scholar
• Aydi, H. (2015). α-implicit contractive pair of mappings on quasi b-metric spaces and application to integral equations. Journal of Nonlinear and Convex Analysis, 17(14), 4417–4433.
   Google Scholar
• Aydi, H., Velhi, A., & Sahmim, S. (2017). Common fixed points via implicit contractions on b-metric like spaces. Journal of Nonlinear Sciences and Applications, 10, 1524–1537. doi:10.22436/jnsa.010.04.20
   Google Scholar
• Bakhtin, I.-A. (1989). The contraction principle in quasimetric spaces. Func. An. Ulianowsk, Gos. Ped. Ins, 30, 26–37.
   Google Scholar
• Czerwik, S. (1998). Nonlinear set-valued contraction mappings in b-metric spaces. Atti Del Seminario Matematico E Fisico Dell’ Universita Di Modena, 46, 463–476.
   Google Scholar
• Hitzler, P., & Seda, A. K. (2000). Dislocated topologies. Journal of Electrical Engineering, 51, 3–7.
   Google Scholar
• Hussain, N., Roshan, J.-R., Parvaneh, V., & Kadelburg, Z. (2014). Fixed points of contractive mappings in b-metric-like spaces. Scientific World Journal, 2014(15), Article ID 471847.
   Google Scholar
• Jleli, M., Karapnar, E., & Samet, B. (2013a). Fixed point results for α–ψλ-contractions on gauge spaces and applications. Abstract and Applied Analysis, 2013(7), Article ID 730845.
   Google Scholar
• Jleli, M., Karapnar, E., & Samet, B. (2013b). Best proximity points for generalized α–ψ-proximal contractive type mappings. Journal of Mathematical Analysis, 2013(10), Article ID 534147.
   Google Scholar
• Karapnar, E., & Samet, B. (2014). Generalized α–ψ contractive type mappings and related fixed point theorems with applications. Abstract and Applied Analysis, 2012(17), Article ID 793486.
   Google Scholar
• Matthews, S.-G. (1994). Partial metric topology. Papers on general topology and applications, Flushing, NY, (1994). Annals of the New York Academic of Sciences 748, 183–197.
   Google Scholar
• Mohammadi, B., Rezapour, S., & Shahzad, N. (2013). Some results on fixed points of α–ψ-Ćirić generalized multifunctions. Fixed Point Theory and Applications, 2013(44), 10. doi:10.1186/1687-1812-2013-24
   Google Scholar
• Pansuwan, A., Sintunavarat, W., Parvaneh, V., & Cho, Y. J. (2015). Some fixed point theorems for (α, θ, k)-contractive multi-valued mappings with some applications. Fixed Point Theory and Applications, 2015(134), 11. doi:10.1186/s13663-015-0385-3
   Google Scholar
• Samet, B., Vetro, C., & Vetro, F. (2013). From metric spaces to partial metric spaces. Fixed Point Theory and Applications, 2013(5), 11. doi:10.1186/1687-1812-2013-5
   Google Scholar
• Srivastava, H. M., Bedre, S. V., Khairnar, S. M., & Desale, B. S. (2014a). Krasnosel’skii type hybrid fixed point theorems and their applications to fractional integral equations. Abstract and Applied Analysis, 2014, Article ID 710746, 9.
   Google Scholar
• Srivastava, H. M., Bedre, S. V., Khairnar, S. M., & Desale, B. S. (2014b). Corrigendum to “Krasnosel’skii type hybrid fixed point theorems and their applications to fractional integral equations”. Abstracts Applications Analysis 2014, Article ID 467569, 4.
   Google Scholar
• Xu, Q.-H., Tang, Y.-F., Yang, T., & Srivastava, H.-M. (2016). Schwarz lemma involving the boundary fixed point. Fixed Point Theory and Applications, 2016, 84. doi:10.1186/s13663-016-0574-8
   Google Scholar