[PDF] Top 20 Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces

... Throughout this article, by ℝ + , ℝ we denote the sets of all nonnegative real numbers and all real numbers, respectively, while N is the set of all natural numbers. Let (X, d) be a metric space, D be a subset of ... See full document

... recent fixed points results for so-called cyclical weaker Meir-Keeler functions, estab- lished by Chi-Ming Chen [Chi-Ming Chen, Fixed point theory for the cyclic ... See full document

... of fixed point theory that is involving four single valued maps, began with the assumption that all of the maps are ...of fixed point theory obtained coincidence point and ... 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

... 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

... 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

... 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

... 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

... 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

... 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 for cyclic self-maps on (complete) metric ...others, cyclic versions of the Banach contraction principle [], of the Boyd and Wong fixed point theo- rem ... 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

... 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

... Let F : X × X → X be a mapping. We say that (x, y) ∈ X × X is a coupled fixed point of F if F(x, y) = x and F(y, x) = y. If we define T : X × X → X × X by T(x, y) = (F(x, y), F(y, x)), then clearly (x, y) is a ... See full document

... ordered metric which is an extension of the property WUC ([8]) and generalize and improve the main results of ...of cyclic mappings which are contractions in the sense of Meir- Keeler ([17]) ... See full document

... fixed point theorems for a mapping satisfying the generalized Meir-Keeler-type φ - α -contractions in complete partial metric ...fixed point theorems in the ... See full document