[PDF] Top 20 Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G Metric Spaces

... 2-metric spaces and claimed that a 2-metric is a generalization of the usual notion of a metric, but some authors proved that there is no relation between these two ...2-metric ... See full document

... and Weakly Contractive Mapping with respect to a self map in G-Metric Space we can obtain the following ...be weakly contractive mapping with respect to a self mapping : → if for all , , ∈ and ... See full document

... D-metric spaces as generalization of ordinary metric func- tions and went on to present several fixed point results for single and multivalued mappings; see [1-4] and the references ... See full document

... valued metric spaces were introduced by Azam ...obtained fixed point theorems for mappings satisfying various contractive ...these spaces including those for rational expressions ... See full document

... of common fixed point problems in G-metric spaces was initiated by Abbas and Rhoades ...many common fixed point the- orems for the mappings satisfying different contractive ... See full document

... of weakly commuting mappings and proved some common fixed point theorems in complete Metric ...some common fixed point theorems for weakly ... See full document

... of common fixed point for a pair of expanding mappings in cone metric spaces by assuming the surjectivity of the ...a common fixed point theorem using ... See full document

... obtain common fixed point ...of compatible maps in G – metric space as follows: Let f and g be maps from a G – metric space (X, G) into ...The ... See full document

... of metric spaces is widely used in fixed point theory and ...metric spaces. Recently, Eke and Olaleru [1] introduced the concept of G-partial metric spaces ... See full document

... continuous point of (%, -, ) ...discontinuous point of is (%, -, ) , we can choose a continuous point E of (%, -, ) and (%, -, ) in ( r − /, r ) to replace r ... See full document

... Keywords: Compatible and compatible maps of type A, A- and S-Compatible maps, weakly compatible self-maps and common fixed point.. It is known that Definition 1 and Definition 2 are e[r] ... See full document

... , = P 8HQ R $ !! > 0 , ∈ , (2.6) Then is modular (convex modular) on X in the sense of (A.1) - (A.4) if and only if is metric modular (convex metric modular, respectively) on X. On the other hand, if ... See full document

... probabilistic metric spaces (PM- spaces) which is an important step in the development of fixed point ...of weakly commuting [46], compatible [33], weakly com- ... See full document

... some fixed point theorems for three mappings in vector bmetric ...investigated common fixed point theorems for weakly compatible pairs for ... See full document

... Fixed point theory ends in masses of packages in mathematics, computer technological, engineering, game concept, fuzzy principle, image processing and so ...In metric areas, this theory starts with ... See full document

... Remark 2.4. If we take a * b = min {a, b} where a, b  then in view of remark 2.2, corollary 2.3 is a generalization of the result of Singh and Chauhan [13], as only one mapping of the first pair in (2.1.8) is ... See full document

... unique common fixed point theorem for four occasionally weakly compatible self maps in non-Archimedean Menger PM-spaces without using the notion of ... See full document

... and G(D) = D. If D or F(D) or G(D) is complete, the pairs {F, IJ} and {G, KL} are weakly compatible and the pairs {K, L}, {K, G}, {L, G}, {I, J}, {I, F}, {J, F} are ...F, ... See full document

... Then there exist x ∈ X such that x Fx, x, that is, F admits a unique fixed point in X. Let φt kt, where 0 < k < 1, the following by Lemma 1, we get the following. Corollary 2 see 6. Let a ∗ b ≥ ab for ... See full document

... and g have a common fixed ...the weakly compatible of T and g, we get Tw = T ( gu ) = g ( Tu ) = ...coincidence point of T and g, then gu = gw = w = Tw. ... See full document