M. Aamri, K. Chaira, S. Lazaiz and El-M. Marhrani, Caristi type fixed point theorems using Száz principle in quasi-metric spaces, Carpathian J. Math. 36 (2020), no. 2, 179–188.

M.R. Alfuraidan and M.A. Khamsi, Remarks on Caristi’s fixed point theorem in metric spaces with a graph, Abstr. Appl. Anal. 2014 (2014).

M.R. Alfuraidan and M.A. Khamsi, Fibonacci–Mann iteration for monotone asymptotically nonexpansive mappings, Bull. Aust. Math. Soc. 96 (2017), no. 2, 307–316.

S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math 3 (1922), no. 1, 133–181.

A. Brøndsted, Fixed points and partial orders, Proc. Amer. Math. Soc. 60 (1976), no. 1, 365–366.

J. Caristi, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241–251.

K. Chaira, A. Eladraoui, M. Kabil and S. Lazaiz, Extension of Kirk–Saliga fixed point theorem in a metric space with a reflexive digraph, Int. J. Math. Math. Sci. 2018, (2018).

K. Chaira, M. Kabil, A. Kamouss and S. Lazaiz, Best proximity points for monotone relatively nonexpansive mappings in ordered banach spaces, Axioms 8 (2019), no. 4, 121.

Y. Feng and S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317 (2006), no. 1, 103–112.

J.R. Jachymski, Caristi’s fixed point theorem and selections of set-valued contractions, J. Math. Anal. Appl. 227 (1998), no. 1, 55–67.

J.S. Jung, Y.J. Cho, S.M. Kang and S.-S. Chang, Coincidence theorems for set-valued mappings and Ekeland’s variational principle in fuzzy metric spaces, Fuzzy Sets and Systems 79 (1996), no. 2, 239–250.

M.A. Khamsi, Remarks on Caristi’s fixed point theorem, Nonlinear Anal. 71 (2009), no. 1–2, 227–231.

A.T.-M. Lau and L. Yao, Common fixed point properties for a family of set-valued mappings, J. Math. Anal. Appl. 459 (2018), no. 1, 203–216.

W. Lee and Y. Choi, A survey on characterizations of metric completeness Nonlinear Analysis Forum, vol. 19, 2014, pp. 265–276.

S. B. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), no. 2, 475–488.

J.J. Nieto and R. Rodrı́guez-López, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22 (2005), no. 3, 223–239.

J.-P. Penot, Fixed point theorems without convexity, Mém. Soc. Math. Fr. (N.S.) 60 (1979), 129–152.

A.C.M. Ran and M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. (2004), 1435–1443.