Cone metric spaces and fixed point theorems of T -Kannan contractive mappings
نویسندگان
چکیده
The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T -Kannan type mappings on complete cone metric spaces depended on another function.
منابع مشابه
COUPLED FIXED POINT THEOREMS FOR GENERALIZED Φ-MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON CONE METRIC SPACES
In this paper, we unify, extend and generalize some results on coupled fixed point theorems of generalized φ- mappings with some applications to fixed points of integral type mappings in cone metric spaces.
متن کاملOn the fixed point theorems in generalized weakly contractive mappings on partial metric spaces
In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The theorems presented are generalizations of very recent fixed point theorems due to Abdeljawad, Karapinar and Tas. To emphasize the very general nature of these results, we illustrate an example.
متن کاملRemarks on "Cone metric spaces and fixed point theorems of T-Kannan and T-Chatterjea contractive mappings"
Recently, José R. Morales and Edixon Rojas [José R. Morales and Edixon Rojas, Cone metric spaces and fixed point theorems of T -Kannan contractive mappings, Int. J. Math. Anal. 4 (4) (2010) 175–184] proved fixed point theorems for T -Kannan and T -Chatterjea contractions in conemetric spaces when the underlying cone is normal. The aim of this paper is to prove this without using the normality c...
متن کاملRational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered $b_2$-metric Spaces
In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some fixed point theorems under various contractive conditions in partially ordered $b_2$-metric spaces...
متن کاملFixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.
متن کامل