[PDF] Top 20 Best proximity point results in partially ordered metric spaces via simulation functions

... Let (X, d) be a metric space. Consider a mapping T : A → B, where A and B are nonempty subsets of X. If d(x, Tx) >  for every x ∈ A, then the set of fixed points of T is empty. In this case, we are interested ... See full document

... a best proximity and established a classical best approximation ...the best proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...of ... See full document

... some best proximity point results using generalized weak contractions with discontinuous control ...in metric spaces with a partial ...coupled best proximity ... See full document

... in partially ordered metric spaces was first established by Nieto and Rodriguez-Lopez ...fixed point for multivalued self mappings in partially ordered metric ...of ... See full document

... four best proximity point theorems for generalized contractions in partially ordered metric ...recent results in this area have been ... See full document

... fuzzy metric space. Then we establish certain best proximity point theorems for such proximal contractions in intuitionistic fuzzy metric ...deduce best proximity and fixed ... See full document

... C-class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S-metric ...Our results extend and improve some ... See full document

... the results of [] and [], in this paper we first introduce the notions of proximal mixed strict monotone property and proximally Meir-Keeler type functions and prove the existence and uniqueness of ... See full document

... of metric segments such that any two points x, y in X are endpoints of a unique metric segment [x, y] ∈ F ([x, y] is an isometric image of the real line interval [0, d(x, ...unique point z of [x, y] ... See full document

... of partially ordered metric space (it is then restricted to the case when gx and gy are comparable) and prove respective common fixed point ...These results can be considered as ... See full document

... of best proximity points is an interesting topic of opti- mization theory which recently attracted the attention of many authors ...of best proximity point in the setting of ... See full document

... in partially ordered metric which is an extension of the property WUC ([8]) and generalize and improve the main results of ...of best proximity points for a class of cyclic ... See full document

... DEFINITION 2. Let (𝑋, 𝑑, ⪯) be a partially ordered metric space and A, B are nonempty subsets of X. A mapping 𝐹: 𝐴 × 𝐴 × 𝐴 × 𝐴 → 𝐵 is said to have proximal mixed monotone property if 𝐹(𝑥, 𝑦, 𝑧, 𝑤) is ... See full document

... Fixed point theory have an important role in many branches of mathematics such as differential and integral equations, optimization and variational ...fixed point equation T x = x, where T : A → B is some ... See full document

... of best proximity points is an interesting topic of optimization theory which recently attracted the attention of many authors (see [7, 18, 27, 29, 30, 31, 33, 51, 52, 53, 54, 55, ...of best ... See full document

... Fixed point theory and best proximity theory are very important tools in nonlinear func- tional ...impressive results in this direction, known as the Banach contraction map- ping principle, ... See full document

... of best proximity points. Some results of this kind are obtained in [, ...these results, assume restrictive compactness hypothe- ses on the domain and codomain of the involved ... See full document

... fixed point from equation T x = ...This point becomes a concept of best proximity point theorem, so this theorem guarantees the existence of an element x such that d(x, T x) = d(A, B) = ... See full document

... fixed point theory has raised very ...fixed point results in partially ordered metric spaces (see [, ]), in G-metric spaces (see [–]), among other abstract ... See full document

... Let M be a nonempty set and (E, P ) a Banach space with a given cone P . A mapping d : M × M → (E, P ) satisfying the conditions (d1) 0 ≼ d(x, y) for all x, y ∈ M and d(x, y) = 0 if and only if x = y, (d2) d(x, y) = d(y, ... See full document