[PDF] Top 20 Tripled best proximity point theorems in partially ordered metric spaces

... A point x 0 is known as a best ...well-known best approximation theorem, due to Ky Fan [19], states that if K is a nonempty compact convex subset of a Banach space X and T : K → X is a single-valued ... See full document

... 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

... In this paper we first introduce the notion of proximally g-Meir-Keeler type mappings, then we study the existence and uniqueness of coupled best proximity points for these mappings. This generalization is ... See full document

... In this section, we give some basic definitions and notions that will be used frequently. Let X be a nonempty set such that (X, d, ) is a partially ordered metric space. Consider A and B to be ... See full document

... modular metric space, being a natural generalization of classical modulars over linear spaces, was recently ...modular metric space and investigate the existence of fixed points for such ...fixed ... See full document

... Obviously, normed linear spaces are hyperbolic spaces. As nonlinear examples, one can consider the Hadamard manifolds [6], the Hilbert open unit ball equipped with the hyperbolic metric [12], and the ... See full document

... fixed point theorems for a mixed monotone mapping in a partially ordered metric space which are generalizations of the results of Bhaskar and Lakshmikantham ... See full document

... ϕ-best proximity point for such ...ϕ-best proximity point, we deduce some best proximity point theorems in the context of partial metric ... See full document

... separable metric space, random fixed point theorems for contraction mappings were proved by Han˘s [, ], Han˘s and ˘Spa˘cek [] and Mukherjee [, ...fixed point theorems of Schauder or ... See full document

... fuzzy metric space, which can be regarded as a generalization of the statistical (probabilistic) metric ...fixed point theory in fuzzy met- ric ...fuzzy metric space (now known as a G-complete ... See full document

... the best proximity point for two new types of contractions in the setting of metric ...from best proximity point theory and fixed-point ... See full document

... fixed point of mul- tivalued mappings in partially ordered metric spaces by using the combination of multivalued monotone iterative technique and multivalued contraction ...fixed ... See full document

... Theorem 2.1 . Let (X, ≤ ) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Assume there is a function : [0, + ∞ ) ® [0, + ∞ ) such ... See full document

... Fixed point results in partially ordered metric spaces play a major role in proving the existence and uniqueness of solutions for some differential and integral ...such theorems ... See full document

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

... above theorems, we first define the concept of proximal mixed g-monotone property and proximally tripled weak (ψ , φ ) contraction on ...of tripled best proximity points in the setting ... 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

... In recent times coupled fixed point theory has experienced a rapid growth in partially ordered metric spaces. The speciality of this line of research is that the problems herein utilize ... See full document

... In , Caballero et al. introduced a generalized Geraghty-contraction as follows. Definition . [] Let A, B be two nonempty subsets of a metric space (X, d). A mapping T : A → B is said to be a ... See full document

... LEMMA 4. Let (𝑋, 𝑑, ⪯) be a partially ordered metric spaces and A, B are non empty subsets of X. Assume 𝐴 0 is nonempty. A mapping 𝐹: 𝐴 × 𝐴 × 𝐴 × 𝐴 → 𝐵 has the proximal mixed monotone property ... See full document