References
- [1] M.R. Alfuraidan and M.A. Khamsi, Caristi fixed point theorem in metric spaces with a graph, Abstr. Appl. Anal. 2014, Art. ID 303484, 5 pp.10.1155/2014/303484
- [2] I. Altun and A. Erduran, A Suzuki type fixed-point theorem, Int. J. Math. Math. Sci. 2011, Art. ID 736063, 9 pp.10.1155/2011/736063
- [3] Q.H. Ansari, Metric Spaces: Including Fixed Point Theory and Set-valued Maps, Alpha Science International Ltd., Oxford, 2010.
- [4] G.V.R. Babu and M.V.R. Kameswari, Coupled fixed points of generalized contractive maps with rational expressions in partially ordered metric spaces, J. Adv. Res. Pure Math. 6 (2014), no. 2, 43–57.
- [5] R.K. Bose and R.N. Mukherjee, Stability of fixed point sets and common fixed points of families of mappings, Indian J. Pure Appl. Math. 11 (1980), no. 9, 1130–1138.
- [6] D.W. Boyd and J.S.W. Wong, On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458–464.10.1090/S0002-9939-1969-0239559-9
- [7] R.F. Brown, M. Furi, L. Górniewicz, and B. Jiang (eds.), Handbook of Topological Fixed Point Theory, Springer, Dordrecht, 2005.10.1007/1-4020-3222-6
- [8] S. Chandok, Some fixed point theorems for (α, β)-admissible Geraghty type contractive mappings and related results, Math. Sci. (Springer) 9 (2015), no. 3, 127–135.
- [9] C. Chifu and G. Petruşel, Coupled fixed point results for (φ, G)-contractions of type (b) in b-metric spaces endowed with a graph, J. Nonlinear Sci. Appl. 10 (2017), no. 2, 671–683.
- [10] A. Chiş-Novac, R. Precup, and I.A. Rus, Data dependence of fixed points for non-self generalized contractions, Fixed Point Theory 10 (2009), no. 1, 73–87.
- [11] B.S. Choudhury, N. Metiya, and C. Bandyopadhyay, Fixed points of multivalued -admissible mappings and stability of fixed point sets in metric spaces, Rend. Circ. Mat. Palermo (2) 64 (2015), no. 1, 43–55.
- [12] B.S. Choudhury, N. Metiya, and S. Kundu, Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators, Chaos Solitons Fractals 133 (2020), 109678, 7 pp.10.1016/j.chaos.2020.109678
- [13] Lj. B. Ćirić, A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267–273.
- [14] B.K. Dass and S. Gupta, An extension of Banach contraction principle through rational expression, Indian J. Pure Appl. Math. 6 (1975), no. 12, 1455–1458.
- [15] M. Dinarvand, Fixed point results for (φ, ψ)-contractions in metric spaces endowed with a graph and applications, Mat. Vesnik 69 (2017), no. 1, 23–38.
- [16] D. Dorić, Z. Kadelburg, and S. Radenović, Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces, Nonlinear Anal. 75 (2012), no. 4, 1927–1932.
- [17] P.N. Dutta and B.S. Choudhury, A generalisation of contraction principle in metric spaces, Fixed Point Theory Appl. 2008, Art. ID 406368, 8 pp.10.1155/2008/406368
- [18] R. Espínola and A. Petruşel, Existence and data dependence of fixed points for multi-valued operators on gauge spaces, J. Math. Anal. Appl. 309 (2005), no. 2, 420–432.
- [19] N. Hussain, M.A. Kutbi, and P. Salimi, Fixed point theory in -complete metric spaces with applications, Abstr. Appl. Anal. 2014, Art. ID 280817, 11 pp.10.1155/2014/280817
- [20] J. Jachymski, The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc. 136 (2008), no. 4, 1359–1373.
- [21] D.S. Jaggi and B.K. Dass, An extension of Banach’s fixed point theorem through a rational expression, Bull. Calcutta Math. Soc. 72 (1980), no. 5, 261–262.
- [22] R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968), 71–76.
- [23] M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal. 69 (2008), no. 9, 2942–2949.
- [24] W.A. Kirk and B. Sims (eds.), Handbook of Metric Fixed Point Theory, Springer, Dordrecht, 2001.10.1007/978-94-017-1748-9
- [25] M.A. Kutbi and W. Sintunavarat, On new fixed point results for (α, ψ, ξ)-contractive multi-valued mappings on -complete metric spaces and their consequences, Fixed Point Theory Appl. 2015, 2015:2, 15 pp.10.1186/1687-1812-2015-2
- [26] N. Mizoguchi and W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989), no. 1, 177–188.
- [27] G. Moţ and A. Petruşel, Fixed point theory for a new type of contractive multivalued operators, Nonlinear Anal. 70 (2009), no. 9, 3371–3377.
- [28] S.B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488.10.2140/pjm.1969.30.475
- [29] O. Popescu, Two fixed point theorems for generalized contractions with constants in complete metric space, Cent. Eur. J. Math. 7 (2009), no. 3, 529–538.
- [30] O. Popescu, A new type of contractive multivalued operators, Bull. Sci. Math. 137 (2013), no. 1, 30–44.
- [31] C. Robinson, Dynamical Systems. Stability, Symbolic Dynamics, and Chaos, Second edition, CRC Press, Boca Raton, 1999.
- [32] I.A. Rus, A. Petruşel, and A. Sîntămărian, Data dependence of the fixed points set of multivalued weakly Picard operators, Studia Univ. Babeş-Bolyai Math. 46 (2001), no. 2, 111–121.
- [33] B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for α -ψ- contractive type mappings, Nonlinear Anal. 75 (2012), no. 4, 2154–2165.
- [34] S.L. Singh, S.N. Mishra, and W. Sinkala, A note on fixed point stability for generalized multivalued contractions, Appl. Math. Lett. 25 (2012), no. 11, 1708–1710.
- [35] T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), no. 5, 1861–1869.