In this paper, we prove some fixed point theorems for L-fuzzy mappings in left K-sequentially and rightK-sequentially complete quasi-pseudo metric spaces.These are the generalizations of many results in the recent literature. Some examples are also included to support our results.
AbbasM. and TurkogluD., Fixed point theorem for a generalized contractive fuzzy mapping, Journal of Intelligent and Fuzzy Systems26(1) (2014), 33–36.
2.
AhmadJ., AzamA. and RomagueraS., On locally contractive fuzzy set-valued mappings, Journal of Inequalities and Applications1 (2014), 74.
3.
AzamA. and ArshadM., Fixed points of sequence of locally contractive multivalued maps, Computers and Mathematics with Applications57 (2009), 96–100.
4.
AzamA., ArshadM. and BegI., Fixed points of fuzzy contractive and fuzzy locally contractive maps, Chaos Solitons and Fractals42 (2009), 2836–2841.
5.
AzamA. and RashidM., A fuzzy coincidence theorem with applications in a function space, Journal of Intelligent and Fuzzy Systems27(4) (2014), 1775–1781.
6.
AzamA., WaseemM. and RashidM., Fixed point theorems for fuzzy contractive mappings in quasi-pseudo-metric spaces, Fixed Point Theory and Applications2013(1) (2013), 1–14.
7.
ButnariuD., Fixed point for fuzzy mapping, Fuzzy Sets and Systems7 (1982), 191–207.
8.
GoguenJ.A., L-fuzzy sets, Journal of Mathematical Analysis and Applications18(1) (1967), 145–174.
9.
GregoriV. and PastorJ., A fixed point theorem for fuzzy contraction mappings, Rend Istit Math Univ Trieste30 (1999), 103–109.
10.
HeilpernS., Fuzzy mappings and fixed point theorems, Journal of Mathematical Analysis and Applications83 (1981), 566–569.
11.
KellyJ.C., Bitopological spaces, Proc London Math Soc13 (1963), 71–89.
12.
NadlerS.B.jr, Multivalued contraction mappings, Pacific Journal of Mathematics30 (1969), 475–488.
13.
NashineH.K., VetroC., KumamW. and KumamP., Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations, Advances in Difference Equations2014(1) (2014), 1–14.
14.
PhiangsungnoenS., SintunavaratW. and KumamP., Common alpha-fuzzy.xed point theorems for fuzzy mappings via βF-admissible pair, Journal of Intelligent and Fuzzy Systems27(5) (2014), 2463–2472.
15.
PhiangsungnoenS., SintunavaratW. and KumamP., Fuzzy fixed point theorems for fuzzy mappings via beta-admissible with applications, Journal of Uncertainty Analysis and Applications2(1) (2014), 1.
16.
QiuD. and LiH., Fuzzy optimizations of convex fuzzy mappings in the quotient space of fuzzy numbers, Journal of Intelligent and Fuzzy Systems (2016), 1–10.
17.
RashidM., AzamA. and MehmoodN., L-fuzzy fixed points theorems for L-fuzzy mappings via βFL-admissible pair, The Scientific World Journal2014 (2014), Article ID 853032, 1–8. http://dx.doi.org/10.1155/2014/853032.
18.
ReillyI.L., SubrahmanyamP.V. and VamanamurthyM.K., Cauchy sequences in quasi-pseudo-metric spaces, Monatsh Math93 (1982), 127–140.
19.
SahinI., KarayilanH. and TelciM., Common fixed point theorems for fuzzy mappings in quasi-pseudo metric space, Turk Journal of Mathematics29 (2005), 129–140.
20.
WeissM.D., Fixed points and induced fuzzy topologies for fuzzy sets, Journal of Mathematical Analysis and Applications50 (1975), 142–150.
21.
ZadehL.A., Fuzzy sets, Information and Control8 (1965), 338–353.