✦ LIBER ✦

New common fixed point theorems for maps on cone metric spaces

✍ Scribed by Guangxing Song; Xiaoyan Sun; Yian Zhao; Guotao Wang

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 248 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.04.032

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we study the uniqueness and existence of a common fixed point for a pair of mappings in cone metric space. The results extend and improve recent related results.

📜 SIMILAR VOLUMES

Fixed point and common fixed point theor

Fixed point and common fixed point theorems on ordered cone metric spaces

✍ Ishak Altun; Boško Damjanović; Dragan Djorić 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 473 KB

In the present work, some fixed point and common fixed point theorems for self-maps on ordered cone metric spaces, where the cone is not necessarily normal, are proved.

Distance in cone metric spaces and commo

Distance in cone metric spaces and common fixed point theorems

✍ Shenghua Wang; Baohua Guo 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 216 KB

In this paper, we define a distance called c-distance on a cone metric space and prove a new common fixed point theorem by using the distance.

Fixed point theorems for mappings with c

Fixed point theorems for mappings with convex diminishing diameters on cone metric spaces

✍ Shahrazad H. Alnafei; Stojan Radenović; Naseer Shahzad 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 218 KB

In this work, Cantor's intersection theorem is extended to cone metric spaces and as an application, a fixed point theorem is derived for mappings with locally power diminishing diameters.

Common fixed point theorems for ordered

Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces

✍ Zoran Kadelburg; Mirjana Pavlović; Stojan Radenović 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 365 KB

a b s t r a c t In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (

Fixed point theorem for two non-self map

Fixed point theorem for two non-self mappings in cone metric spaces

✍ Stojan Radenović; B.E. Rhoades 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 500 KB

point theorem of Imdad and Kumar, for a pair of non-self maps, to non-normal cone spaces.

Common fuzzy fixed point theorems in ord

Common fuzzy fixed point theorems in ordered metric spaces

✍ L. Ćirić; M. Abbas; B. Damjanović; R. Saadati 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 203 KB