1 |
M.A. Al-Thagafi, N. Shahzad, Convergence and existence results for best proximity points, Nonlinear Analysis 70 (10) (2009) 3665-3671.
DOI
|
2 |
T.N. Anh, Random equations and applications to general random fixed point theorems, New Zealand Journal of Mathematics, Vol. 41 (2011), 17-24.
|
3 |
J. Anuradha, P. Veeramani, Proximal pointwise contraction, Topol. Appl. 2009 156 (18) (2009) 2942-2948.
DOI
|
4 |
R.F. Arens, A topology for spaces of transformations, Annals of Mathematics 47(2): 1946, 480-495.
DOI
|
5 |
A. Arunchai, S. Plubtieng, Random fixed point of Krasnoselskii type for the sum of two operators, Fixed Point Theory and Applications 2013, 2013:142.
DOI
|
6 |
Y.I. Alber, S. Guerre-Delabriere, Principle of weakly contractive maps in Hilbert spaces, New results in Operator Theory and its Applications (eds., Gohberg, I. and Lyubich, Y.), Birkhauser Verlag Basel, Switzerland, 1997, 7-22.
|
7 |
I. Beg, M. Abbas, Random fixed point theorems for a random operator on an unbounded subset of a Banach space, Applied Mathematics Letters 21 (2008) 1001-1004.
DOI
|
8 |
I. Beg, M. Abbas, Iterative procedures for solutions of random operator equations in Banach spaces, J. Math. Anal. Appl. 315 (2006) 181-201.
DOI
|
9 |
I. Beg, M. Abbas, Equivalence and stability of random fixed point iterative procedures, Journal of Applied Mathematics and Stochastic Analysis, 2006, Article ID 23297, (2006), DOI 10.1155/JAMSA/2006/23297, 1-19.
DOI
|
10 |
I. Beg, M. Abbas, Random fixed point theorems for Caristi type random operators, J. Appl. Math. & Computing Vol. 25(2007), No. 1-2, pp. 425-434.
DOI
|
11 |
I. Beg, M. Abbas, A. Azam, Periodic fixed points of random operators, Annales Mathematicae et Informaticae, 37(2010) pp. 39-49.
|
12 |
I. Beg, D. Dey, M. Saha, Convergence and stability of two random iteration algorithms, J. Nonlinear Funct. Anal. 2014, 2014:17.
|
13 |
S.S. Chang, Y.J. Cho, J.K. Kim, H.Y. Zhou, Random Ishikawa iterative sequence with applications, Stochastic Analysis and Applications, 23(2005), 69-77.
DOI
|
14 |
I. Beg, M. Saha, A. Ganguly, Random fixed point of Gregus mapping and its application to nonlinear stochastic integral equations, Kuwait J. Sc. 41 (2) pp. 1-14, 2014.
|
15 |
A.T. Bharucha-Reid, Fixed point theorems in probabilistic analysis, Bull. Amer. Math. Soc. 82(1976), 641-657.
DOI
|
16 |
F.E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. USA 54 (1965) 1041-1044.
DOI
|
17 |
D.E. Edmunds, Remarks on nonlinear functional equations, Math. Ann. 174(1967), 233-239.
DOI
|
18 |
A.A. Eldred, W.A. Kirk, P. Veeramani, Proximal normal structure and relatively non-expansive mappings, Studia Math. 171 (3) (2005) 283-293.
DOI
|
19 |
A.A. Eldred, P. Veeramani, Existence and convergence of best proximity points, J. Math. Anal. Appl. 323 (2) (2006) 1001-1006.
DOI
|
20 |
A.A. Eldred, P. Veeramani, On best proximity pair solutions with applications to differential equations, Indian Math. Soc., (1907-2007) 51-62. Special Centenary.
|
21 |
A.A. Eldred, V.S. Raj, On common best proximity pair theorems, Acta Sci. Math. (Szeged) 75 (2009) 707-721.
|
22 |
A.A. Eldred, V.S. Raj, P. Veeramani, On best proximity pair theorems for relatively u-continuous mappings, Nonlinear Analysis 74 (2011) 3870-3875.
DOI
|
23 |
H. Engl, Random fixed point theorems for multivalued mappings, Pacific J. Math. 76(1976), 351-360.
|
24 |
Ky Fan, Extensions of two fixed point theorems of F.E. Browder, Math. Z. 122(1969) 234-240.
|
25 |
O. Hans, Random operator equations, Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. II, Part I, University of California Press, California, 1961, 185-202.
|
26 |
M. Furi, A. Vignoli, Fixed points for densifying mappings, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 47 (1969), 465-467.
|
27 |
K. Goebel, W.A. Kirk, Topics in metric fixed point theory, in: Cambridge Studies in Advanced Mathematics, vol. 28, Cambridge University Press, 1990.
|
28 |
D. Gohde, Zum prinzip der kontraktiven abbildung, Math. Nachr. 30 (1965) 251-258.
DOI
|
29 |
S. Itoh, Random fixed point theorems with an application to random differential equations in Banach spaces, Journal of Mathematical Analysis and Applications, 67(2), (1979), 261-273.
DOI
|
30 |
M.C. Joshi, R.K. Bose, Some topics in nonlinear functional analysis, Wiley Eastern Limited, New Delhi (1985).
|
31 |
M.A. Khamsi, KKM and Ky Fan theorems in hyperconvex metric spaces, Journal of Mathematical Analysis and Applications, 204 (1) (1996) 298-306.
DOI
|
32 |
W.K. Kim, K.H. Lee, Existence of best proximity pairs and equilibrium pairs, J. Math. Anal. Appl. 316 (2) (2006) 433-446.
DOI
|
33 |
W.K. Kim, S. Kum, K.H. Lee, On general best proximity pairs and equilibrium pairs in free abstract economies, Nonlinear Anal. 68 (8) (2008) 2216-2227.
DOI
|
34 |
W.A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965) 1004-1006.
DOI
|
35 |
W.A. Kirk, S.S. Shin, Fixed point theorems in hyperconvex spaces, Houston Journal of Mathematics, vol. 23, no. 1, 1997, 175-188.
|
36 |
J.T. Markin, A selection theorem for quasi-lower semicontinuous mappings in hypercon-vex spaces, Journal of Mathematical Analysis and Applications, 321 (2) (2006), 862-866.
DOI
|
37 |
W.A. Kirk, S. Reich, P. Veeramani, Proximinal retracts and best proximity pair theorems, Numer. Funct. Anal. Optim. 24 (7-8) (2003) 851-862.
DOI
|
38 |
A.C.H. Lee, W.J. Padgett, On random nonlinear contraction, Mathematical Systems Theory ii: 1977, 77-84.
|
39 |
T.-C. Lin, Random approximations and random fixed point theorems fon non-self-maps, Proceedings of the American Mathematical Society, Vol. 103, No. 4, 1988, 1129-1135.
DOI
|
40 |
J. Markin, N. Shahzad, Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces, Nonlinear Anal. 70 (6) (2009) 2435-2441.
DOI
|
41 |
C. Moore, C.P. Nnanwa, B.C. Ugwu, Approximation of common random fixed points of finite families of N-uniformly -Lipschitzian asymptotically hemicontractive random maps in Banach spaces, Banach Journal of Mathematical Analysis 3 (2009), no. 2, 77-85.
DOI
|
42 |
G.A. Okeke, M. Abbas, Convergence and almost sure T-stability for a random itera-tive sequence generated by a generalized random operator, Journal of Inequalities and Applications (2015) 2015:146.
DOI
|
43 |
G.A. Okeke, J.K. Kim, Convergence and summable almost T-stability of the random Picard-Mann hybrid iterative process, Journal of Inequalities and Applications (2015) 2015:290.
DOI
|
44 |
G.A. Okeke, J.K. Kim, Convergence and (S; T)-stability almost surely for random Jungck-type iteration processes with applications, Cogent Mathematics (2016), 3: 1258768, 15pp.
|
45 |
N.S. Papageorgiou, Random fixed point theorems for measurable multifunctions in Ba-nach spaces, Proc. Amer. Math. Soc. Vol. 97, no. 3 1986, 507-514.
DOI
|
46 |
J.O. Olaleru, G.A. Okeke, Convergence theorems on asymptotically demicontractive and hemicontractive mappings in the intermediate sense, Fixed Point Theory and Applications, 2013, 2013:352.
DOI
|
47 |
D. O'Regan, Fixed point theory for the sum of two operators, Appl. Math. Lett. 9(1996), 1-8.
|
48 |
W.J. Padgett, On a nonlinear stochastic integral equation of the Hammerstein type, Proc. Amer. Math. Soc. Vol. 38, no. 3, 1973, 625-631.
DOI
|
49 |
V.S. Raj, P. Veeramani, Best proximity pair theorems for relatively nonexpansive map-pings, Appl. Gen. Topol. 10 (1) (2009) 21-28.
DOI
|
50 |
V.S. Raj, Banach's contraction principle for non-self mappings, Preprint.
|
51 |
V.S. Raj, A best proximity point theorem for weakly contractive non-self-mappings, Nonlinear Analysis 74 (2011) 4804-4808.
DOI
|
52 |
S. Reich, Approximate selections, best approximations, fixed points and invariant sets, J. Math. Anal. Appl. 62 (1978), 104-112.
DOI
|
53 |
V.M. Sehgal, C. Waters, Some random fixed point theorems for condensing operators, Proc. Amer. Math. Soc. 90 (1984), 425-429.
DOI
|
54 |
N. Shahzad, S. Latif, Random fixed points for several classes of 1-Ball-contractive and 1-set-contractive random maps, Journal of Mathematical Analysis and Applications 237(1999), 83-92.
DOI
|
55 |
A. Spacek, Zufallige gleichungen, Czechoslovak Mathematical Journal, 5 (1955), 462-466.
|
56 |
P.S. Srinivasan, P. Veeramani, On existence of equilibrium pair for constrained general-ized games, Fixed Point Theory Appl. 1 (2004) 21-29.
|
57 |
S.S. Zhang, X.R. Wang, M. Liu, Almost sure T-stability and convergence for random iterative algorithms, Appl. Math. Mech. Engl. Ed., 32(6), 805-810 (2011).
DOI
|
58 |
H.K. Xu, Some random fixed point theorems for condensing and nonexpansive operators, Proc. Amer. Math. Soc. 110(2),(1990), 395-400.
DOI
|
59 |
K. Yosida, Functional Analysis, Academic press, New York, Springer-Verlag, Berlin, 1965.
|