Concepedia

Some Coupled Fixed Point Theorems in Cone Metric Spaces

Fereidoun Sabetghadam, H. P. Masiha, Amir H. Sanatpour

Fixed Point Theory and Applications · 2009 · 109 citations · 11 references

DOIFull text

Open access

Concepts

Abstract

Abstract We prove some coupled fixed point theorems for mappings satisfying different contractive conditions on complete cone metric spaces.

References

11

Fixed point theorems in partially ordered metric spaces and applications

T. Gnana Bhaskar, V. Lakshmikantham · Nonlinear Analysis · 2006 · 1.2K citations

, , +12

Cone metric spaces and fixed point theorems of contractive mappings

Huang Long-guang, Xian Zhang · Journal of Mathematical Analysis and Applications · 2006 · 1.2K citations

, , +12

Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces

V. Lakshmikantham, Łjubomir Ćirić · Nonlinear Analysis · 2008 · 850 citations

, , +13

Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”

Sh. Rezapour, R. Hamlbarani · Journal of Mathematical Analysis and Applications · 2008 · 579 citations

, , +11

Common fixed point results for noncommuting mappings without continuity in cone metric spaces

Mujahid Abbas, Gerald Jungck · Journal of Mathematical Analysis and Applications · 2007 · 483 citations

, , +10