TY - JOUR AU - Li, Zhilong AU - Jiang, Shujun PY - 2017 TI - Fixed point theorems of nondecreasing order-Ćirić-Lipschitz mappings in normed vector spaces without normalities of cones JO - Journal of Nonlinear Sciences and Applications SP - 18--26 VL - 10 IS - 1 AB - We introduce the concept of order-Ćirić-Lipschitz mappings, and prove some fixed point theorems for such kind of mappings in normed vector spaces without assuming the normalities of cones by using upper and lower solutions method, which improve many existing results of order-Lipschitz mappings in Banach spaces or Banach algebras. It is worth mentioning that even in the setting of normal cones, the main results in this paper are still new since the sum of spectral radius or the sum of restricted constants may be greater than or equal to 1. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.01.02 DO - 10.22436/jnsa.010.01.02 ID - Li2017 ER - TY - JOUR TI - Sur les operations dans les ensembles abstraits et leur application aux equations integrales AU - S. Banach JO - Fundam. Math. PY - 1922 DA - 1922// VL - 3 ID - Banach 1922 ER - TY - JOUR TI - Fixed point theorems AU - S. K. Chatterjea JO - C. R. Acad. Bulgare Sci. PY - 1972 DA - 1972// VL - 25 ID - Chatterjea 1972 ER - TY - JOUR TI - Generalized contractions and fixed-point theorems AU - L. B. Ćirić JO - Publ. Inst. Math. PY - 1971 DA - 1971// VL - 12 ID - Ćirić1971 ER - TY - BOOK TI - Nonlinear functional analysis AU - K. Deimling PB - Springer-Verlag PY - 1985 DA - 1985// CY - Berlin ID - Deimling1985 ER - TY - JOUR TI - Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone AU - S. Jiang AU - Z. Li JO - Fixed Point Theory Appl. PY - 2013 DA - 2013 // VL - 2013 ID - Jiang2013 ER - TY - JOUR TI - Fixed point theorems of order-Lipschitz mappings in Banach algebras AU - 6] S. Jiang AU - Z. Li JO - Fixed Point Theory Appl. PY - 2016 DA - 2016 // VL - 2016 ID - Jiang2016 ER - TY - JOUR TI - Some results on fixed points AU - R. Kannan JO - Bull. Calcutta Math. Soc. PY - 1968 DA - 1968// VL - 60 ID - Kannan1968 ER - TY - BOOK TI - Geometrical methods of nonlinear analysis AU - M. A. Krasnosel’skiĭ AU - P. P. Zabreĭko PB - Springer-Verlag PY - 1984 DA - 1984// CY - Berlin ID - Krasnosel’skiĭ1984 ER - TY - JOUR TI - Common fixed point theorems of contractions in partial cone metric spaces over nonnormal cones AU - Z. Li AU - S. Jiang JO - Abstr. Appl. Anal. PY - 2014 DA - 2014 // VL - 2014 ID - Li2014 ER - TY - JOUR TI - Iterative solutions of nonlinear operator AU - J.-X. Sun JO - (Chinese) J. Engin. Math. PY - 1989 DA - 1989// VL - 6 ID - Sun1989 ER - TY - JOUR TI - Existence and uniqueness of solutions for a class of nonlinear operator equations and its applications AU - X. Y. Zhang AU - J. X. Sun JO - (Chinese) Acta Math. Scientia PY - 2005 DA - 2005// VL - 25 ID - Zhang2005 ER -