[PDF] Top 20 Fixed point and common fixed point results in cone metric space and application to invariant approximation

... of cone metric space as a gener- alization of metric space, in which they replace the set of real numbers with a real Banach ...fixed point theorems for contractive type mappings ... See full document

... Corollary . Let M be a nonempty subset of a metric space (X, d), and T, f and g be self-maps of M such that (T , f ) and (T , g) are Banach operator pairs on M. Assume that cl(T (M)) is complete, T is a ... See full document

... ordered metric space X, T, and S be continuous selfmaps on X such that T(∂M ∩ M) ⊂ M, ∂M stands for boundary of M, and u Î Fix(S) ∩ Fix(T) for some u in X, where u is comparable with all x Î ... See full document

... some fixed and common fixed point theorems have been obtained in [1], ...initiated cone metric spaces, which is a generalization of metric spaces, by substituting the real ... See full document

... 3-metric space which is suggested by the quantity ...those results in which a fuzzy metric on a set X is treated as a map d : X x X → R+ where X  I x   10 or X = the totality of all fuzzy ... See full document

... Newton’s approximation method [–] and optimization theory [, ...Banach space instead of the set of real numbers, as the codomain for a ...underlying cone, Huang and Zhang [] re-introduced such ... See full document

... known results which will be needed in the sequel. In Section 3 we prove common fixed point ...our results are generalization of some existing results in the ... See full document

... 2-metric space akin to the metric space (X, ...the results obtained in the two ...generalized metric space called D-metric space [1, ...ordinary ... See full document

... the cone metric space, replacing the set of real numbers by an ordered Banach space, and they showed some fixed point theorems of contractive type mappings on cone ... See full document

... of cone metric space and cone normed linear space are recent development in functional ...of cone metric space was introduced by Long- Guang and Xian ...of ... See full document

... of cone metric space, the study of common fixed points of mappings satisfying certain contractive conditions on cone metric spaces has been at the center of strong ... See full document

... prove common fixed point results for quadruple self-mappings satisfying an implicit function which is general enough to cover a multitude of known as well as unknown ...Our results ... See full document

... -metric space as a generalization of metric ...metric space. In 2007, Huang and Zhang [4] are introduce the concept of cone metric space and also they discussed ... See full document

... coincidence point and b-common coupled fixed point for mappings F , G : X × X ® X , where ( X , d ) is a cone metric ...b- common coupled fixed point ... See full document

... convex metric space and common fixed point results are established for this new class of ...some invariant approximation results as an ...Our results ... See full document

... Corollary . ([], Theorem .) Let M be a nonempty subset of a normed space X and let T , f be self-maps of M. Suppose that F(f ) is q-starshaped and closed cl(T (M)) is compact, T is continuous on M, (T, f ) ... See full document

... Jungck [1] introduced the concept of commuting maps and proved the results that generalize the Banach contraction principle. Sessa [2] further gave the idea of weakly commuting maps thereby generalizing the ... See full document

... a common fixed point theorem for commutative mappings, generalizing the famous Banach contraction ...some common fixed point theorems, assuming the continuity of at least one of ... See full document

... of cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have established some fixed point theorems for contractive type mappings in a ... See full document

... probabilistic metric space in 1942 and since then the theory of probabilistic metric spaces has developed in many directions ...the metric. The notion of a probabilistic metric ... See full document