[PDF] Top 20 Common fixed point theorems for semigroups on metric spaces

... d f (x),f (y) ≤ ϕ d(x,y) , x,y ∈ M. (1.1) In 1969, Boyd and Wong [1] showed that a ϕ-contractive selfmap f on a complete metric space (M,d) has a unique fixed point ξ in M and that, for any x in M, the ... See full document

... and common fixed point theorems are obtained for four mappings, which are assumed to satisfy certain weak inequalities, in the framework of cone metric ...corresponding fixed ... See full document

... The fixed point theorem, generally known as the Banach’s contraction mapping principle, appeared in explicit form in Banach’s thesis in ...valued metric space which is more general than well-known ... See full document

... establish common fixed point theorems for certain left reversible and near-commutative semigroups of self- mappings in compact and complete metric ... See full document

... some common fixed point theorems for two weakly subsequentially continuous and compatible of type (E) pairs of self mappings satisfying an implicit relation in fuzzy metric ... See full document

... turning point in the development of fuzzy mathematics when the notion of fuzzy set was introduced by ...topological spaces. Jungck [13] common fixed point theorem in the setting of ... See full document

... unique fixed point in X ...the fixed point theory, from the last few decades this theory is a central topic of ...the common fixed point ...the common fixed ... See full document

... As S(X) is a closed subset of X , on the lines of Theorem 3.1, one can show that the pair ( f , S) has a point of coincidence, say u i.e. f u = Su. Since f (X ) ⊂ T (X ) and f u ∈ f (X), there exists w ∈ X such ... See full document

... 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 metric ...of ... See full document

... (3) G(x, y, z) = G(x, z, y) = G(z, y, x) = · · · (symmetric in all three variables). Example 2.2. A Riesz space E is a vector G−metric space with G : E × E × E → E defined by G(x, y, z) = |x − y| + |y − z| + |z − ... See full document

... of metric space by replacing the set of real numbers by ordered Banach space and defined cone metric space and extended Banach type fixed point theorems for contractive type ...cone ... See full document

... fixed point theorem in a complete metric space which generalizes the Banach contraction ...complete metric space has a common fixed ...complete metric space and let S and T be two ... See full document

... Since * and ◊ are continuous, the limit is uniquely de- termined from 5) and 11) of Definition 2.3, respectively. An intuitionistic fuzzy metric space (X, M, N, * , ◊) is said to be complete if and only if every ... See full document

... of common fixed pint of mapping satisfying certain contractive conditions has been taken a important role in resent research ...a common fixed point theorem for commuting mappings, ... See full document

... In 1976, Jungck [4] gave the notion of commutativity to obtain common fixed point theorems. This result was further generalized and extended in various ways by many authors. In 2012, Manro et al. [9] ... See full document

... probabilistic metric spaces is an important part of stochastic Analysis, and so it is of interest to develop the fixed point theory in such ...the fixed point theory in ... 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

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

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