Asymptotic Regularity and Fixed Point Theorems on a 2-banach Space
نویسندگان
چکیده
The present paper deals with some fixed point theorems for a class of mixed typeof contraction maps possessing the asymptotically regular property in a 2-Banach space.Full text References[1] M.Açıkgöz, A review on 2-normed structures, Int. Journal of Math. Analysis,1(2007), no.4, 187 191. MR2340939 (2008e:46012) Zbl 1132.46304.[2] Y.J.Cho, M.S.Khan and S.L.Sing, Common fixed points of weakly commutingmappings, Univ.u. Novom Sadu, Zb.Rad. Period.-Mat.Fak.Ser.Mat, 181(1988)129-142. MR1034710[3] S.Gähler, 2-metric Raume and ihre topologische strucktur, Math.Nachr.,26(1963), 115-148. MR0162224[4] S.Gähler, Uber die unifromisieberkeit 2-metrischer Raume, Math.Nachr.28(1965), 235 244. MR0178452[5] K.Iseki, Fixed point theorems in 2-metric space, Math.Seminar.Notes, KobeUniv.,3(1975), 133 136. MR0405395[6] C.Panja and A.P.Baisnab , Asymptotic regularity and fixed point theorems, TheMathematics Student, 46 1(1978), 54-59 . MR0698179[7] B.E.Rhoades, Contractive type mappings on a 2-metric space, Math.Nachr.,91(1979), 151 155. MR0563606 2010 Mathematics Subject Classification: 47H10; 54H25.
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