[PDF] Top 20 Common Fixed Point Theorems in Metric Spaces with Applications

... of fixed point solutions for several classes of contractive mappings and functional equations studied by many investigators such as Bhakta and Mitra [5], Liu [15], Liu and ume [20], Pathak and Fisher [21], ... See full document

... fuzzy metric space (employing the notions of continuous t-norm and continuous t- conorm) as a generalization of fuzzy metric spaces (due to George and Veeramani [6]) and also proved some basic ... 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 ...numerous applications of the fixed point theory, from the last few decades this theory is a central topic of ...the common fixed point ... See full document

... the common fixed point theorems which are more general than the result of Azam et ...valued metric spaces. As applications, we claim that the existence of common ... 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

... Remark 2.1 [17] An intuitionistic fuzzy metric spaces with continuous t-norm * and continuous t-conorm ◊ defined by a * a ≥ a and (1 – a) ◊ (1 – a) ≤ (1 – a) for all a  [0, 1]. Then for all x, y  X, M(x, ... See full document

... quadruple fixed point of R, T, S, g, f and ...of common quadruple fixed point in P ...quadruple fixed point (α 0 , β 0 , γ 0 , ω 0 ) of R, S, T, g, h, f ... 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

... complete metric space (M,d) such that there is a gauge function ϕ for which d(f (x),f (y)) ≤ ϕ(δ(O f (x,y))) for f ∈ S and x,y in M, where δ(O f (x,y)) denotes the diameter of the orbit of x,y under f, then S has ... See full document

... unique fixed point in X ” which ensures under appropriate conditions, the existence and uniqueness of a fixed ...many applications, but suffers from one drawback - the definition requires that ... See full document

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

... cone metric spaces and established fixed point theorems of nonlinear operators ...2007, fixed point problem in the framework of cone metric spaces have been ... See full document

... b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like ...b-metric-like spaces. Since the b-metric-like space is a natural generalization of ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...ordered metric ... See full document

... hand, fixed-point theory has developed rapidly in metric spaces endowed with a partial ...its applications to matrix ...many fixed-point theorems in ordered ... 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

... 1. Ya.I.Alber and S.Guerre-Delabriere, Principle of weakly contractive maps in Hilbert spaces, in New Results in Operator Theory and Its Applications, I. Gohberg and Y. Lyubich, Eds., vol. 98 of Operator ... See full document

... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ...of ... See full document