[PDF] Top 20 Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces

... a contraction mapping to the setting of Menger proba- bilistic metric ...a mapping T is a probabilistic contraction if T is such that for some constant  < k < , the ... See full document

... Motivated by the above result, we address the same question on -metric space for weakly compatible mappings satisfying a Generalized Contraction Principle condition given by (1), we establish ... See full document

... of probabilistic metric space, which is a generalization of the Menger probabilistic metric space, and we investigate some topological properties of this space and related ...fixed point ... See full document

... of probabilistic metric space so-called S-probabilistic met- ric ...more probabilistic meaning and the probabilistic back- ...S-probabilistic metric space is a pair (E, ... See full document

... Fixed point theory is indispensable for solving various equations of the form Tx = x for self-mappings T defined on subsets of metric ...a metric space and a non-self mapping T : A → B, the ... See full document

... a generalized Geraghty-contraction as ...a metric space (X, d). A mapping T : A → B is said to be a Geraghty-contraction if there exists β ∈ Γ such that for any x, y ∈ ... See full document

... Fixed point theory is one of the most dynamic research subjects in nonlinear ...Banach contraction mapping principle: Every contraction in a complete metric space has a unique ... See full document

... the mapping x → d(x, Tx) is attained from a best proximity ...the best proximity point reduces to a fixed point if the underlying mapping T is a ... See full document

... fixed point theory originated in the work of Sehgal and Bharucha-Reid [] where they introduced a contraction mapping principle in probabilistic metric ... See full document

... Fixed point theory and best proximity theory are very important tools in nonlinear func- tional ...Banach contraction map- ping principle, was given by Banach: Every contraction ... See full document

... more generalized contraction mapping ...more generalized contraction mapping principle, a further generalized best proximity theorem was ... 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 ... See full document

... on metric spaces. Let (X, d) be a metric space and A and B be nonempty subsets of ...A mapping T : A → B is said to be a k-contraction if there exists k ∈ [, ) such that d(Tx, Ty) ≤ ... 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

... modular metric spaces being a natural generalization of classical modulars over linear spaces Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was ... See full document

... fixed point theorems for general ...dislocated metric on X, f : X → X is a mapping, and the comparison function ϕ : [, ∞ ) → [, ∞ ) belongs to a wide class of mappings defined in [] and ... See full document

... The contraction mapping theorem states that a strict contraction on a complete metric space has a unique fixed ...The contraction mapping theorem is only one example of fixed ... See full document

... …xed point theorems for nonlinear contractive condition on intuitionistic fuzzy metric spaces with application to integral equations, Journal of the Korean Society of Mathe- matical ... See full document

... coincidence point results for four mappings satisfying generalized ( ψ , ϕ )-weakly contractive condition in the framework of ordered b-metric ... See full document

... of probabilistic G-contraction and establish some fixed point theorems in such ...fixed point results for ( , δ )-chainable PM-spaces and for cyclic ... See full document