[PDF] Top 20 On common fixed points of compatible mappings in metric and Banach spaces

... In [1], we established a number of results concerning common fixed points of three selfmaps on a metric space using sequences which were not necessarily obtained as sequences of iterates[r] ... See full document

... HADZIC, 01ga Common fixed point theorems for family of mappings in complete metric spaces.[r] ... See full document

... tible mappings and utilized it to improve and generalize the commutativity conditions employed in common fixed point ...non-compatible mappings initiated by Pant ...the common ... See full document

... of common fixed points unless the space taken to be compact or some sequence of iterates is assumed to be a Cauchy ...faintly compatible mappings satisfying the strict contractive ...faintly ... See full document

... , Banach proved a remarkable and powerful result called the Banach contraction ...in Banach spaces endowed with a ...the Banach contraction principle to mappings on a ... See full document

... Remark 2.8. Corollary 2.7 generalizes Theorem 1 in 6. Also, if we choose the ϕ-mapping defined by ϕw kw, where k ∈ 0, 1 is a constant, then Theorem 2.3 generalizes Theorem 2.1 in 3. Furthermore, if we let g be the ... See full document

... self mappings of a fuzzy metric space X, M, ∗ such that the mappings A and B are a generalized fuzzy contraction with respect to mappings S and ...the common property ...unique ... See full document

... compact metric space, I, J selfmaps of X, F, G : X → BX set-valued functions with ∪ FX ⊆ J X and ∪ GX ⊆ ...weakly compatible and the functions F, I are ... See full document

... a Banach algebra and proved some fixed point theorems on cone metric ...cone metric spaces by replacing the contractive constant by a vector of ...their fixed point results ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... type fixed point theorem for a pair of weakly compatible mappings in G-metric space satisfying the common limit range property which is initiated by Sintunavarat and Kumam ...self ... See full document

... of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in b- metric ...b-metric spaces cannot be ... See full document

... cone metric spaces and have established fixed point theorems for a contractive type map in a normal cone metric ...of common fixed points of a finite self maps satisfying ... See full document

... to compatible mappings [8] and then to weakly compatible mappings ...self mappings without coincidence point is also weakly compatible as the requirement of weak compatibility is ... See full document

... the points,” ...generalized metric spaces,” Journal of Nonlinear and convex Analysis, ...generalized metric spaces with applications to fixed point theory,” ... See full document

... partial metric spaces Mizoguchi and Takahashi's con- tractive condition ...achieve common fixed points of two distinct ...a common fixed point of two distinct ... See full document

... Example 3.11. Let X = R + and G p (x, y, y) = max{x, y, y}; then (X , G p ) is a complete G-partial metric space. Let T, S : R → R be defined by T x = 2x and Sx = 3x. T and S are surjective, reciprocally ... See full document

... For example, Deng [5], Ereeg [6], Fang [7], George and Veeramani [8], Kaleva and Seikkala [12], Kramosil and Michalek [11] have introduced the concept of fuzzy metric spaces in different ways. In ... See full document

... 2-metric spaces, and many authors discussed and obtained fixed point or common fixed point theorems on 2-metric spaces, see [15-21] and ...the Banach fixed ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document