Random fixed point theorems for Ciric quasi contraction in cone random metric spaces

[1] M. Abbas and G. Jungck, Common fixed point results for non commuting map- pings without continuity in cone metric spaces, J. Math. Anal. Appl., 341, (2008), 416-42010.1016/j.jmaa.2007.09.070Search in Google Scholar

[2] M. Arshad and P. Vetro A. Azam, On Edelstein type multivalued random op- erators, Hacet. J. Math. Stat., 42(3), (2013), 223-229Search in Google Scholar

[3] M. Arshad and A. Shoaib, Fixed points of multivalued mappings in fuzzy metric spaces, Proceedings of the world congress on engineering, July 4-6, (2012), p.664-664Search in Google Scholar

[4] I. Beg, Random fixed points of random operators satisfying semicontractivity con- ditions, Mathematics Japonica, 46(1), (1997), 151-155Search in Google Scholar

[5] I. Beg, Approximation of random fixed points in normed spaces, Nonlinear Anal., 51(8), (2002), 1363-137210.1016/S0362-546X(01)00902-6Search in Google Scholar

[6] I. Beg and M. Abbas, Equivalence and stability of random fixed point iterative procedures, J. Appl. Math. Stoch. Anal., (2006), (2006), 1910.1155/JAMSA/2006/23297Search in Google Scholar

[7] I. Beg and M. Abbas, Iterative procedures for solutions of random operator equa- tions in Banach spaces, J. Math. Anal. Appl., 315(1), (2006), 181-20110.1016/j.jmaa.2005.05.073Search in Google Scholar

[8] A.T. Bharucha-Reid, Random Integral equations Mathematics in Science and En- gineering, J. Math. Anal. Appl., 96, (1972), .Search in Google Scholar

[9] A.T. Bharucha-Reid, Fixed point theorems in Probabilistic analysis, Bull. Amer. Math. Soc., 82(5), (1976), 641-65710.1090/S0002-9904-1976-14091-8Search in Google Scholar

[10] L.B. Ciric, A generalization of Banach principle, Proc. Amer. Math. Soc., 45, (1974), 727-73010.2307/2040075Search in Google Scholar

[11] S.K. Chatterjee, Fixed point theorems compactes, Rend. Acad. Bulgare Sci., 25, (1972), 727-730Search in Google Scholar

[12] O. Hanš, Reduzierende zufallige transformationen, Czech. Math. J., 7(82), (1957), 154-15810.21136/CMJ.1957.100238Search in Google Scholar

[13] O. Hanš, Random operator equations, Proceeding of the 4th Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, California, II, (1961), 185-202Search in Google Scholar

[14] C.J. Himmelberg, Measurable relations, Fund. Math., 87, (1975), 53-7210.4064/fm-87-1-53-72Search in Google Scholar

[15] L.-G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2), (2007), 1468-147610.1016/j.jmaa.2005.03.087Search in Google Scholar

[16] D. Ilic and V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341, (2008), 876-88210.1016/j.jmaa.2007.10.065Search in Google Scholar

[17] S. Itoh, Random fixed point theorems with an application to random differential equations in Banach spaces, J. Math. Anal. Appl., 67(2), (1979), 261-27310.1016/0022-247X(79)90023-4Search in Google Scholar

[18] R. Kannan, Some results on fixed point theorems, Bull. Cal. Math. Soc., 60, (1969), 71-78Search in Google Scholar

[19] A.D. Singh and Vanita Ben Dhagat Smriti Mehta, Fixed point theorems for weak contraction in cone random metric spaces, Bull. Cal. Math. Soc., 103(4), (2011), 303-310Search in Google Scholar

[20] N.S. Papageorgiou, Random fixed point theorems for measurable multifunctions in Banach spaces, Proc. Amer. Math. Soc., 97(3), (1986), 507-51410.1090/S0002-9939-1986-0840638-3Search in Google Scholar

[21] N.S. Papageorgiou, On measurable multifunctions with stochastic domain, J. Aus- tra. Math. Soc. Series A, 45(2), (1988), 204-21610.1017/S1446788700030111Search in Google Scholar

[22] R. Penaloza, A characterization of renegotiation proof contracts via random fixed points in Banach spaces, working paper 269, Department of Economics, University of Brasilia, Brasilia, December, (2002)Search in Google Scholar

[23] A. Petrusel, Generalized multivalued contractions, Nonlinear Anal. (TMA), 47(1), (2001), 649-65910.1016/S0362-546X(01)00209-7Search in Google Scholar

[24] G. Petrusel and A. Petrusel, Multivalued contractions of Feng-Liu type in com- plete gauge spaces, Carpth. J. Math. Anal. Appl., 24, (2008), 392-396Search in Google Scholar

[25] Sh. Rezapour and R. Hamlbarani, Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl., 345(2), (2008), 719-72410.1016/j.jmaa.2008.04.049Search in Google Scholar

[26] V.M. Sehgal and S.P. Singh, On random approximations and a random fixed point theorem for set valued mappings, Proc. Amer. Math. Soc., 95(1), (1985), 91-9410.1090/S0002-9939-1985-0796453-1Search in Google Scholar

[27] P. Vetro, Common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo (2), 56(3), (2007), 464-46810.1007/BF03032097Search in Google Scholar

[28] D.H. Wagner, Survey of measurable selection theorem, SIAM J. Control Optim., 15(5), (1977), 859-90310.1137/0315056Search in Google Scholar

[29] P.P. Zabrejko, K-metric and K-normed linear spaces: survey, Collec. Math., 48(4-6), (1997), 825-859Search in Google Scholar

[30] T. Zamffirescu, Fixed point theorems in metric space, Arch. Math. (Basel), 23, (1972), 292-29810.1007/BF01304884Search in Google Scholar