[PDF] Top 20 Cyclic Contraction on S- Metric Space

... Metric space is one of the most useful and important space in ...in metric space is very interesting and attract many researchers to investigated different results on ... See full document

... multiplicative metric spaces. The derived results results generalized Banach contraction principle in multiplicative metric spaces and characterize completeness of the underlying multiplicative ... See full document

... = forall ∈ (3.14) Similar to process of theorem 3.1, we can prove { } is a b- Cauchy sequence in ( , ). Since ( , ) is a complete b- metric space, then{ } converges to some ∈ as → +∞. Now, we shall prove ... See full document

... cone metric space ([2] and [16]), we unify various results deal with generalizations of the Banach’s Contraction Prin- ...a S-Hardy-Rogers cone contraction following some ideas from ... See full document

... In this section, we prove an extended fuzzy Edelstein contraction theorem for cyclic con- tractive mappings in a fuzzy metric space. Meantime, we also prove that a fixed point theorem given by ... See full document

... The following famous theorem is referred to as the Banach-Caccioppoli contraction principle. This theorem is very forceful and simple, and it became a classical tool in nonlinear analysis. Theorem 1.1 see Banach 1 ... See full document

... Large number of fixed point results for selfmappings satisfying various types of contractive inequalities which in [ 5, 9 ,12]. In this paper, theorems on selfmaps and some fixed point theorems are proved in ... See full document

... modular metric spaces X endowed with a graph G. These modular metric spaces were introduced in [, ...modular metric spaces is ...modular metric space and introduced the analog of the ... See full document

... In 2011, Mohsenalhosseini et al. [8], introduced the approximate best proximity pairs and proved the approximate best proximity pairs property for it. Now, we study some well known types of operators on metric ... See full document

... In this paper new fixed point theorem in complete quasi metric space has been proved for mappings satisfying some new type of rational contraction conditions.. A complete metric space is[r] ... See full document

... Fixed point theory is one of the most dynamic research subjects in nonlinear sciences. Regarding the feasibility of application of it to the various disciplines, a number of authors have contributed to this theory with a ... See full document

... Banach’s contraction principle states that every contraction on a complete metric space has a unique fixed point that is realizable as the limit of Picard ...a metric space, a ... See full document

... Theorem 1.1. [15] Let (X,≼) be a partially ordered set such that every pair , has an upper and lower bound. Let d be a metric on X such that (X, d) is a complete metric space. Let : → be a continuous ... See full document

... A point x in A for which d(x, Tx) = d(A, B) is call a best proximity point of T. Whenever a non-self-mapping T has no fixed point, a best proximity point represent an optimal approximate solution to the equation Tx = x. ... See full document

... define cyclic generalized ϕ-contraction and (ψ , ϕ)−weakly contraction on b-metric spaces with wt-distance and related fixed point results are proved, which extend some results in the ... See full document

... a contraction maps points closer together in particular, for every ∈ , and any % > 0 all points ! in the ball & ' are map into a ball & ( ) with * < % ...a contraction, and then map satisfying ... See full document

... Banach contraction mapping principle is considered to be the core of many extended fixed point ...partial metric spaces as a place for distinct research work into flow analysis, non-symmetric topology, and ... See full document

... and S be selfmaps of a set ...and S and the set of coincidence points of A and S is denoted by C (A, S), and  is called a point of coincidence of A and ...B, S and T be self maps of a ... See full document

... The paper deals with the here defined dislocated strong quasi-metric (if p(y,x) = 0, then x = y; 0 ≤ p(z,x) ≤ p(z, y) + p(y, x)) and with the well-known notion of the dislocated metric (in addition, p(y,x) = ... See full document

... gave the first result in cyclic contraction. After that several fixed point and best proximity point results have been proved in cyclic contraction. Some of these works may be noted in ... See full document