New common fixed point theorems for maps on cone metric spaces

New Common Fixed Point Results for Four Maps on Cone Metric Spaces

“…Common fixed point theorems are obtained under weakly compatible maps. Our results generalized and unified these main results in [1][2][3][4][5].…”

“…Recently, some authors obtained a number of meaningful consulting fixed point theorems for one or two mappings on cone metric spaces(see [1][2][3][5][6][7][8]). The aim of this paper is to present coincidence points results for four mappings without satisfying the notion of continuity and commutation on non-normal cone metric spaces.…”

Some Notes on the Paper “New Common Fixed Point Theorems for Maps on Cone Metric Spaces”

“…On the other hand, in 2011, Haghi, Rezapour and Shahzad [3] gave a lemma and showed that some fixed point generalizations are not real generalizations. In this note, we show that Theorem 2.1 [1] …”

The existence of fixed and periodic point theorems in cone metric type spaces

“…Afterward, several fixed point theorems were considered by other people [4,7,12,14,26]. The cone metric space was initiated in 2007 by Huang and Zhang [8] and several fixed and common fixed point results in cone metric spaces were introduced in [1,9,13,17,18,19,20,21,22,23,25,27,28].…”

“…The purpose of this paper is to generalize and unify the fixed and periodic point theorems of Abbas and Jungck [1], Huang and Zhang [8], Rezapour and Hamlbarani [25], Abbas and Rhoades [2], Song et al [27] on cone metric type spaces.…”