References
-
A. H. Ansari, Note on "
$\alpha$ -admissible mappings and related fixed point theorems", The 2nd Regional Conference on Mathematics And Applications, PNU, September 2014, 373-376. - A. Branciari, A fixed point theorem for mapping satisfying a general contractive condition of integral type, International Journal of Mathematics and Mathematical Sciences, 10 (2002), 531-536.
- J. Caristi, Fixed point theorems for mapping satisfying inwardness conditions, Trans. Amer. Math. Soc., 215 (1976), 241-251. https://doi.org/10.1090/S0002-9947-1976-0394329-4
-
S. Cho, J. Bae and E. Karapinar, Fixed point theorems for
$\alpha$ -Geraghty contraction type maps in metric spaces, Fixed Point Theory and Applications 2013, 2013:329. https://doi.org/10.1186/1687-1812-2013-329 - I. Ekeland, Nonconvex minimization problem, Bull. Amer. Math. Soc. 1 (1979), 443-474. MR 80h:49007.
-
E. Karapinar, P. Kumam, P. Salimi, On
${\alpha}-{\psi}$ -Meir-Keeler contractive mappings, Fixed Point Theory and Applications 2013, 2013:94. https://doi.org/10.1186/1687-1812-2013-94 -
N. Hussain, P. Salimi, A. Latif, A Fixed point results for single and set-valued
${\alpha}-{\eta}-{\psi}$ -contractive mappings, Fixed Point Theory and Applications 2013, 2013:212. https://doi.org/10.1186/1687-1812-2013-212 - T. L. Hicks and B. E. Rhoades, A Banach type fixed-point theorem, Mathematica Japonica, 24 (3), 327-330, (1979)/80.
- L. Hossein, and L. Ing-Jer, The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with w-Distances, Journal of Applied Mathematics Volume , Article ID 161470, 11 pages (2012).
-
N. Hussain, P. Salimi and A. Lat, Fixed point results for single and set-valued
${\alpha}-{\eta}-{\psi}$ -contractive mappings, Fixed Point Theory and Applications, 2013, 2013:212. https://doi.org/10.1186/1687-1812-2013-212 -
N. Hussain, M. Arshad, A. Shoaib and Fahimuddin, Common fixed point results
$for{\alpha}-{\psi}$ -contractions on a metric space endowedwith graph, Journal of inequalities and applications, 2014, 2014:136. - J. Jachymski, Remarks on contractive conditions of integral type, Nonlinear Anal.(TMA) 71 (2009), 1073-1081. https://doi.org/10.1016/j.na.2008.11.046
- O. Kada, T. Suzuki and W. Takahashi, Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica, 44 (1996), 381-391. MR 97J:49011.
- M. S. Khan, M. Swaleh and S. Sessa, Fixed point theorems by altering distances between the points, Bull. Aust. Math. Soc., 30 (1984), 1-9. https://doi.org/10.1017/S0004972700001659
- S. Kumar, R. Chugh, R. Kumar, Fixed point theorem for compatible mapping satisfying a contractive condition of integral type, Soochow J. Math. 33(2) (2007), 181-185.
- J.J. Nieto, R. Rodriguez-Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22(2005), 223-239. https://doi.org/10.1007/s11083-005-9018-5
- V. Popa, M. Mocanu, A new view point in the study of fixed points for mappings satisfying a contractive condition of integral type, Bull. Inst. Politeh. Tasi, Ser. Mat. Mat. Teor. Fiz. 53(55) (2007), 269-280.
- A.C.M. Ran and M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Am. Math. Soc. 132 (2004), 1435-1443. https://doi.org/10.1090/S0002-9939-03-07220-4
- A. Razani, Z. Mazlumi Nezhad, and M. Boujary, A fixed point theorem for w-distance, Applied Sciences, 11 (2009) 114-117.
-
V. L. Rosa and P. Vetro, Common fixed points for
${\phi}-{\psi}$ -contractions in generalized metric spaces, Nonlinear Analysis: Modelling and Control, 2014, 19 (1), 43-54. https://doi.org/10.1016/0362-546X(92)90029-E - F. Rouzkard, M. Imdad and D. Gopal, Some existence and uniqueness theorems on ordered metric spaces via generalized distances, Fixed Point Theory and Applications, 2013, 2013:45. https://doi.org/10.1186/1687-1812-2013-45
-
B. Samet, C. Vetro and P. Vetro, Fixed point theorems for
${\alpha}-{\psi}$ -contractive type mappings, Nonlinear Analysis 75 (2012) 2154-2165. https://doi.org/10.1016/j.na.2011.10.014 - T. Suzuki, Meir-Keeler contractions of integral type are still Meir-Keeler cotractions, Intern. J. Math. Math. Sci. Volume (2007), Article ID 39281, 6 pages.
- T. Suzuki, Several fixed point theorem in complete metric space, J. Yokohama Math. 44 (1997) 61-72.
- W. Takahashi, Existence theorems generalizing fixed point theorems for multi-valued mappings, Fixed Point Theory and Application (M. A. Thera and J. B. Baillon Ends.), Pitman Research Notes in Mathematics Series 252, 397-406, John Wiley Sons, New York, (1991). MR92m:54078
- W. Takahashi, Nonlinear function analysis, Yokohama Publishers, (2000).
- P. Vijayaraju, B.E. Rhoades and R. Mohanraj, A fixed point theorem for pair of maps satisfying a general contractive condition of integral type, International Journal of Mathematics and Mathematical Sciences 15 (2005), 2359-2364.