[PDF] Top 20 Best proximity point theorems for Fρ-proximal contraction in modular function spaces

... some best proximity point results for F ρ - proximal contractions in modular function ...of best proximity points for nonself Ciric type gen- eralized F ρ ... See full document

... presents best proximity point theorems for new classes of non-self mappings, known as generalized proximal contractions, in the setting of metric ...s contraction principle and ... See full document

... distance function. In view of the fact that d(x, Tx) is at least d(A, B), a best proximity point theorem guarantees the global minimization of d(x, Tx) by the requirement that an approximate ... See full document

... fixed point theorems for self-mappings satisfying certain con- tractive type ...fixed point theory play a basic role in various areas of mathemat- ... See full document

... provide best proximity point theorems for generalized JSC- proximal contractions of the first and the sec- ond kinds in the setting of complete metric spaces, thereby ... See full document

... Banach contraction principle which char- acterizes the metric completeness is due to Suzuki [, ] (see also [, ...studied best proximity point results for Suzuki ...certain best ... See full document

... θ)-proximal contraction and (F, ϕ, θ)-weak proximal contraction for non-self mappings and utilize the same to prove some existence and uniqueness of ϕ-best proximity point ... See full document

... Banach contraction principle is one of the most well-known and useful tools in anal- ...fixed point theorems for such mappings within the framework of com- plete metric ...fixed point ... See full document

... a best proximity point theorem for non-self-mappings satisfied proximal cyclic contraction in PM-spaces and this shows the existence of optimal approximate solutions of certain ... See full document

... of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric ...deduce best proximity point theorems ... See full document

... distance function. In view of the fact that d(x, Tx) is at least d(A, B), a best proximity point theorem guarantees the global minimiza- tion of d(x, Tx) by the requirement that an approximate ... See full document

... Fixed point theory is an important tool for solving equations 𝑇𝑥 = 𝑥 for mappings 𝑇 defined on subsets of metric spaces or normed ...Banach contraction principle is first fixed point theorem ... See full document

... fixed point theory in fuzzy met- ric ...Banach contraction theorem to G-complete fuzzy metric ...fixed point theorems have also been constructed on the basis of this metric ...fixed point ... See full document

... Let (X, d) be a metric space and A be a nonempty subset of X . If T : A → X is a mapping such that the equation T x = x has at least one solution in A, then x is called a fixed point of T . If the equation T x = x ... See full document

... of best proximity points for non-self- α -nonexpansive mappings in Banach ...common best proximity points for a family of non-self- α -nonexpansive ... See full document

... Remark . In the setting of Remark ., Theorem . reduces to Theorem . of []. Next, we drop the continuity of f in the Theorem ., and find out that we can still guar- antee a fixed point if we strengthen ... See full document

... metric spaces and A, B are non empty subsets of ...the proximal mixed monotone property with 𝐹(𝐴 0 × 𝐴 0 × 𝐴 0 × 𝐴 0 ) ⊆ 𝐵 0 whenever 𝑥 0 , 𝑥 1 , 𝑥 2 , 𝑥 3 , 𝑦 0 , 𝑦 1 , 𝑦 2 , 𝑦 3 , 𝑧 0, 𝑧 1 , 𝑧 2 , 𝑧 3 , 𝑤 ... See full document

... Fixed point theorems for monotone op- erators in ordered metric spaces are widely investigated and have found various applica- tions in differential and integral equations (see [, –] and ... See full document

... fixed point sets of multivalued mappings was initially investigated by Markin [] and Nadler [] with some strong ...fixed point sets of multivalued contraction mappings by relaxing the condition ... See full document

... A function φ : 0, ∞ → 0, ∞ is called an L-function if φ0 0, φs > 0 for s > 0, and for every s > 0, there exists δ > 0 such that φt ≤ s for all t ∈ s, s ... See full document