Common Fixed Point Theorems with Applications in Dynamic Programming
نویسندگان
چکیده
In this paper, the concepts of compatible mappings of type (A) and type (P ) are introduced in an induced metric space, two common fixed point theorems for two pairs of compatible mappings of type (A) and type (P ) in an induced complete metric space are established, and the ∗Corresponding author 2174 Zeqing Liu, Min Liu, Chahn Yong Jung and Shin Min Kang existence and uniqueness results of common solution for a system of functional equations arising in dynamic programming as applications of these common fixed point theorems presented are discussed. Mathematics Subject Classification: 54H25, 49L20, 49L99
منابع مشابه
Some fixed point theorems and common fixed point theorem in log-convex structure
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.
متن کاملCoupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications
In this paper, we give some new coupled common fixed point theorems for probabilistic $varphi$-contractions in Menger probabilistic metric spaces. As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...
متن کاملFixed point theorems for generalized quasi-contractions in cone $b$-metric spaces over Banach algebras without the assumption of normality with applications
In this paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized quasi-contractions with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$ in the set...
متن کاملCommon fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications
In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876]introduced the notion of occasionally weakly compatible mappings (shortly owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to ...
متن کاملSome fixed point theorems for weakly subsequentially continuous and compatible of type (E) mappings with an application
In this paper, we will establish some xed point results for two pairs of self mappings satisfying generalized contractive condition by using a new concept as weak subsequential continuity with compatibility of type (E) in metric spaces, as an application the existence of unique common solution for a system of functional equations arising in system programming is proved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008