[PDF] Top 20 A Note on Fixed Point Theory for Cyclic Weaker Meir-Keeler Function in Complete Metric Spaces

... The Banach contraction principle [1] has various applications in many branches of applied science. It ensures the existence and uniqueness of fixed point of a contraction on a complete metric ... See full document

... of cyclic weaker ϕ ○ -contractions and cyclic weaker (ϕ, )-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a ... See full document

... the weaker Meir–Keeler type function 𝜓: ℜ+→ ℜ + and proved following common fixed point theorem of two set-valued mappings in a complete metric space: Let (𝑋, 𝑑) be ... See full document

... a complete metric space (X, d), and let : ℝ + ® ℝ + be a -mapping in ...a cyclic orbital weaker Meir-Keeler ...unique fixed point in A ∩ ... See full document

... set theory, is a new mathematical tool for dealing with ...set theory; (see, ...soft metric space by using a different concept of soft point and investigated some basic properties of these ... See full document

... Fixed point theory is one of the most crucial tools in nonlinear functional analysis, and it has application in distinct branches of mathematics and in various sciences, such as eco- nomics, ... See full document

... abstract spaces has been at the center of vigorous research activity in the last ...a complete metric space each contrac- tion has a unique fixed ...abstract spaces such as symmetric ... See full document

... fixed point theory [] and applications in nonlinear analysis, since it entails the ex- istence of approximate solutions of minimization problems for a lower semi-continuous function that is bounded ... See full document

... numbers. Fixed point theory is one of the most crucial tools in nonlinear functional analysis and has application in distinct branches of ...fixed point result, and he concluded that each ... See full document

... a fixed point theory. The first important result of fixed points for contractive-type mapping was the well-known Banach-Caccioppoli theorem published for the first time in 1922 in [3] and also ... See full document

... generalized Meir-Keeler fixed point theorems in various ways in various spaces which include complete metric space as well as ordered metric ...generalized ... See full document

... Partial metric spaces were introduced by Matthews [1] to study denotational semantics of dataflow ...partial metric spaces constitute a suitable fra- mework to model several distinguished ... See full document

... fixed point theorems for cyclic self-maps on complete metric spaces involving Meir-Keeler and weaker Meir-Keeler functions, ...fixed point ... See full document

... on metric spaces and established some fixed point theorems for this ...a weaker Meir-Keeler type function and establish the fixed point theorems for a ... See full document

... Fixed point theory is of wide and endless applications in many fields of engineering and ...mentioning Meir-Keeler contractive type [–], some extended it to more gener- alized ... See full document

... a metric space (X, d). A mapping f : A ∪ B → A ∪ B is called a cyclic map if f (A) ⊆ B and f (B) ⊆ ...of cyclic orbital contraction, and obtained a unique fixed point theorem for such a ...a ... See full document

... symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators F : X × X → X in partially ordered metric ...fixed point theorems due to Samet ... See full document

... The main aim of the present paper is to prove new unidimensional and multidimen- sional fixed point results in the framework of the G-metric spaces provided with a partial preorder (not necessarily a ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... a complete metric space (X, ...a cyclic mapping, that is T (A) ⊆ B and T(B) ⊆ A, such that d(T x, T y) ≤ α d(x, y) for some α ∈ (0, 1)and for all x ∈ A, y ∈ ...unique fixed point in A ∩ ... See full document