[PDF] Top 20 Common fixed point theorems for weakly compatible maps in complex valued b-metric spaces

... X . Then {x n } is a Cauchy sequence if and only if |d(x n , x n+m )| → 0 as n → ∞ where m ∈ N . Definition 2.8. Let S and f be two self maps of a nonempty set X. If Sx = f x = y for some x ∈ X , then x is called ... See full document

... In 1922, Banach proved a common fixed-point theorem which ensures under appropriate conditions, the exis- tence and uniqueness of a fixed-point. This theorem has many applications, but ... See full document

... The fixed point theorem introduced by Banach in [4], was the source of metric fixed point theory in the field of Nonlinear ...of b- metric space as a generalization of ... See full document

... cone metric spaces. However, in complex valued metric spaces, we can study improvements of a host of results of analysis involving ...of weakly compatible ... See full document

... some common fixed point theorems for a pair of maps un- der contraction involving rational expressions in the setting of complex valued b-metric ... See full document

... of fixed point theorems, involving four single-valued maps, began with the assumption that all of the maps are ...pairwise compatible [3] and then pairwise weakly ... See full document

... introduced complex-valued metric space which is more general than classical metric ...every complex-valued metric space is metrizable and hence is not real gene- ... See full document

... on fixed-point for contractive-type mappings was the well-known Banach fixed point theorem, published for the first time in ...of weakly compatible mappings and showed that ... See full document

... establish common fixed point theorems for two weakly compatible self-mappings satisfying the contractive condition or the quasi-contractive condition in the case of a quasi-contractive ... See full document

... Fixed point theory is very useful theory in various branches as determining the existence and uniqueness of solutions to many mathematical equations in mathematical science, en- gineering and applications ... See full document

... coincidence point. Moreover, if the pairs (S, P) and (T, Q) are weakly compatible, then there exists a unique common fixed point of S, T, P and ... See full document

... a common fixed point theorem for weakly compatible mappings under φ -contractive conditions in fuzzy metric ...(Fixed Point Theory ... See full document

... It is a well-known fact that the mathematical results regarding fixed points of contraction- type mappings are very useful for determining the existence and uniqueness of solutions to various mathematical models. Over the ... See full document

... a common fixed point theorem for weakly compatible self-map satisfying the property CLRg using implicit relation on an Intuitionistic fuzzy metric space without involving the ... See full document

... probabilistic metric space. The probabilistic generalization of metric space appears to be well adopted for the investigation of physical quantities and physiological ...introduced weakly commuting ... 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 maps f and g are said ... See full document

... of complex valued metric space which is a generalization of the classical metric ...some fixed point results for mappings satisfying a rational ...of complex valued ... See full document

... Azam, B. Fisher and M. Khan [2] introduced the notion of complex valued metric space and established some sufficient conditions for existence of common fixed points of a pair of ... 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

... proved common fixed point theorem with six maps in complex valued metric ...a common fixed point theorem for six maps in complex ... See full document