[PDF] Top 20 Some Common Fixed Point Theorems for Weakly Compatible Mappings in Metric Spaces

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

... modular metric spaces being a natural generalization of classical modulars over linear spaces Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was ... See full document

... In 1965, Zadeh [50] introduced the concept of fuzzy sets. Since then, to use this concept in topol- ogy and analysis, many authors have expansively developed the theory of fuzzy sets and applications. For example, ... See full document

... more mappings and containment of the range of one mapping into the range of other which is utilized to construct the sequence of joint ...contraction mappings satisfying (E.A) property in fuzzy ... 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

... studied common fixed point results for noncommuting mappings without continuity in cone metric space with normal ...generalize some results of 1–3, and 4 by omitting the ... 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 compatible maps ... 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

... 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 ... See full document

... be mappings of a completefuzzy metric space (, , ∆) into itself satisfying the inequality ...are weakly compatible, then 5, 7, 6 and 8 have a unique common fixed point in ... See full document

... has a unique fixed point in X ” which ensures under appropriate conditions, the existence and uniqueness of a fixed point. This theorem has had many applications, but suffers from one drawback ... See full document

... monotone mappings and gave some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed ... 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 ... See full document

... of metric spaces by substituting the set of real numbers with the ordered Banach space, and defined the concept of cone metric ...cone metric spaces, several fixed point ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...fuzzy metric spaces which are very similar to ... See full document

... different spaces by mathematicians over the ...usual metric space and generalized the Banach contraction principle in the context of complete b-metric ...the fixed point theory in b- ... See full document

... a common tripled fixed point theorem for weakly compatible mappings under ϕ -contractive condition in M-fuzzy metric ... See full document

... fuzzy metric space ([7] ...fuzzy metric space and Park ...proved common fixed point theorem for self maps in intuitionistic fuzzy metric ...presents some common ... See full document

... metrical common fixed point theorem generally involves conditions on commutatively, continuity, completeness together with a suitable condition on containment of ranges of involved mappings by ... See full document

... self mappings to be weakly compatible if the commutes at their coincidence ...coincidence point results for various classes of mappings in a metric ...a metric space, ... See full document