The existence of common fixed point for generalized rational contraction mappings in b-metric spaces
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Abstract
This paper is to establish and prove some common fixed point results for generalized rational contraction mappings in b-metric spaces. Also, illustrative examples are provided for the results obtained.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
Common fixed point, b-metric spaces, Geraghty contraction, triangular α -orbital admissible
References
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[2]. A. Ansari and K. Kaewcharoen (2016), “Fixed point theorems for a-Geraghty contraction type maps in metric spaces”, J. Nonlinear Sci. Appl., 9 (2016), p. 4177-4190.
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[6]. H. Huang, L. Paunovi´c and S. Radenovi´c (2015), “On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces”, J. Nonlinear Sci. Appl., (8), p. 800-807.
[7]. E. Karapinar (2014), “a-y-Geraghty contraction type mappings and some related fixed point results”, Filomat, (28), p. 37-48.
[8]. S. Plubtieng, P. Chuadchawna and A. Kaewcharoen (2016), “Fixed point theorems for generalized a-h-y-Geraghty contraction type mappings in a-h-complete metric spaces”, J. Nonlinear Sci. Appl., (9), p. 471-485.
[9]. O. Popescu (2014), “Some new fixed point theorems for a-Geraghty contraction type maps in metric spaces”, Fixed Point Theory Appl., (2014), p. 1-12.
[10]. R. J. Shahkoohi and A. Razani (2014), “Some fixed point theorems for rational Geraghty contractive mappings in ordered b-metric spaces”, J. Inequal. Appl., (2014:373), p. 1-23.
[2]. A. Ansari and K. Kaewcharoen (2016), “Fixed point theorems for a-Geraghty contraction type maps in metric spaces”, J. Nonlinear Sci. Appl., 9 (2016), p. 4177-4190.
[3]. M. Berzig and E. Karapina (2015), “Note on “Modified a-y-contractive mappings with applications””, Thai. F. Math., 13 (1), p. 147-152.
[4]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46 (2), p. 263-276.
[5]. M. Geraghty (1973), “On contractive mappings”, Proc. Amer. Math. Soc., (40), p. 604-608.
[6]. H. Huang, L. Paunovi´c and S. Radenovi´c (2015), “On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces”, J. Nonlinear Sci. Appl., (8), p. 800-807.
[7]. E. Karapinar (2014), “a-y-Geraghty contraction type mappings and some related fixed point results”, Filomat, (28), p. 37-48.
[8]. S. Plubtieng, P. Chuadchawna and A. Kaewcharoen (2016), “Fixed point theorems for generalized a-h-y-Geraghty contraction type mappings in a-h-complete metric spaces”, J. Nonlinear Sci. Appl., (9), p. 471-485.
[9]. O. Popescu (2014), “Some new fixed point theorems for a-Geraghty contraction type maps in metric spaces”, Fixed Point Theory Appl., (2014), p. 1-12.
[10]. R. J. Shahkoohi and A. Razani (2014), “Some fixed point theorems for rational Geraghty contractive mappings in ordered b-metric spaces”, J. Inequal. Appl., (2014:373), p. 1-23.
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