References
- J. Ali, M. Imdad and D. Bahuguna, Common fixed point theorems in Menger spaces with common property (E.A), Comput. Math. Appl. 60(12) (2010), 3152-3159. MR2739482 (2011g:47124) https://doi.org/10.1016/j.camwa.2010.10.020
- M.A. Al-Thagafi and N. Shahzad, Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sinica (English Series) 24(5) (2008), 867-876. MR2403120 https://doi.org/10.1007/s10114-007-5598-x
- A. Bhatt, H. Chandra and D.R. Sahu, Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions, Nonlinear Analysis 73(1) (2010), 176-182. MR2645842 https://doi.org/10.1016/j.na.2010.03.011
- S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations integrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181
- S. Chauhan, S. Kumar and B.D. Pant, Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces, J. Adv. Research Pure Math. 3(4) (2011), 17-23. DOI:10.5373/jarpm.678.122010
- Lj.B. Ciric, Generalized contractions and fixed-point theorems, Publ. Inst. Math. (Beograd) (N.S.) 12(26) (1971), 19-26. MR0309092 (46 #8203)
- Lj.B. Ciric, On a family of contractive maps and fixed points, Publ. Inst. Math. (Beograd) (N.S.) 17(31) (1974), 45-51. MR0370546 (51 #6773)
- Lj.B. Ciric, A. Razani, S. Radenovic and J.S. Ume, Common fixed point theorems for families of weakly compatible maps, Comput. Math. Appl. 55(11) (2008), 2533-2543. MR2416023 (2009e:54090) https://doi.org/10.1016/j.camwa.2007.10.009
- Lj.B. Ciric, B. Samet and C. Vetro, Common fixed point theorems for families of occasionally weakly compatible mappings, Math. Comp. Model. 53(5-6) (2011), 631-636. MR2769436 https://doi.org/10.1016/j.mcm.2010.09.015
- J.-x. Fang, Common fixed point theorems of compatible and weakly compatible maps in Menger spaces, Nonlinear Analysis 71(5-6) (2009), 1833-1843. MR2524396 (2010g:54045) https://doi.org/10.1016/j.na.2009.01.018
- O. Hadzic, Fixed point theorems for multi-valued mappings in probabilistic metric spaces, Mat. Vesnik 3(16)(31)(2) (1979), 125-133. MR0613901 (82g:54068)
- O. Hadzic and E. Pap, Fixed Point Theory in Probabilistic Metric Spaces, Mathematics and its Applications, 536. Kluwer Academic Publishers, Dordrecht, 2001. ISBN: 1-4020-0129-0 MR1896451 (2003a:47113)
- M. Imdad, J. Ali and M. Tanveer, Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces, Chaos, Solitons & Fractals 42(5) (2009), 3121-3129. MR2562820 (2010j:54064) https://doi.org/10.1016/j.chaos.2009.04.017
- G. Jungck and B.E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 29(3) (1998), 227-238. MR1617919
- G. Jungck and B.E. Rhoades, Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory. 7(2) (2006), 287-296. MR2284600
- K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537. MR0007576 https://doi.org/10.1073/pnas.28.12.535
- D. Mihet, A note on a common fixed point theorem in probabilistic metric spaces, Acta Math. Hungar. 125(1-2) (2009), 127-130. MR2564425 https://doi.org/10.1007/s10474-009-8238-3
- S.N. Mishra, Common fixed points of compatible mappings in PM-spaces, Math. Japon. 36(2) (1991), 283-289. MR1095742
- D. O'Regan and R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195(1) (2008), 86-93. MR2379198 https://doi.org/10.1016/j.amc.2007.04.070
- B.D. Pant and S. Chauhan, Common fixed point theorem for occasionally weakly compatible mappings in Menger space. Surv. Math. Appl. 6 (2011), 1-7.
- B.D. Pant and S. Chauhan, Fixed points of occasionally weakly compatible mappings using implicit relation, Commun. Korean Math. Soc. (2012), Article in press.
- B.D. Pant and S. Chauhan, Fixed point theorems for occasionally weakly compatible mappings in Menger spaces, Mat. Vesnik 64 (2012), Article in press.
- B.D. Pant, S. Chauhan and B. Fisher, Fixed point theorems for families of occasionally weakly compatible mappings, J. Indian Math. Soc. (N.S.) 79(1-4) (2012), Article in press.
- A. Razani and M. Shirdaryazdi, A common fixed point theorem of compatible maps in Menger space, Chaos, Solitons & Fractals 32(1) (2007), 26-34. MR2271101 (2007g:54067) https://doi.org/10.1016/j.chaos.2005.10.096
- R. Saadati, D. O'Regan, S.M. Vaezpour and J.K. Kim, Generalized distance and common fixed point theorems in Menger probabilistic metric spaces, Bull. Iranian Math. Soc. 35(2) (2009), 97-117. MR2642929
- B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334. MR0115153 https://doi.org/10.2140/pjm.1960.10.313
- B. Schweizer and A. Sklar, Probabilistic Metric Spaces, North-Holland Series in Probability and Applied Mathematics. North-Holland Publishing Co., New York, 1983. ISBN: 0-444-00666-4 MR0790314
- V.M. Sehgal, Some fixed point theorems in functional analysis and probability, Ph. D. Dissertation, Wayne State Univ. 1966.
- V.M. Sehgal and A.T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces, Math. Systems Theory 6 (1972), 97-102. MR0310858 (46 #9956) https://doi.org/10.1007/BF01706080
- B. Singh and S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301(2) (2005), 439-448. MR2105684 https://doi.org/10.1016/j.jmaa.2004.07.036