[PDF] Top 20 Some fixed point theorems concerning F-contraction in complete metric spaces

... In , Polish mathematician Banach [] proved a very important result regarding a contraction mapping, known as the Banach contraction principle. It is one of the funda- mental results in fixed ... See full document

... The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and ...of metric spaces to ... See full document

... The following corollaries are immediate consequences of the obtained theorems. Corollary . Let (X, d) be a b-complete b-metric space with s > , and let f be a triangular α-admissible ... See full document

... common fixed point theorems for multivalued mappings in complete metric spaces, then these theorems are used to improve ´ Ciri´ c’s fixed point theorem [1], ... See full document

... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document

... of fixed point theorems in partially ordered metric spaces is one of the most active research areas in fixed point ...proved some new fixed point ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach ’ s thesis in 1922 ...Banach contraction principle has been extended in many different directions, see ...modular spaces, as a ... See full document

... From now on, we suppose that E is a real Banach space, P is a cone in E with int P / ∅, and ≤ is partial ordering with respect to P . Let X be a nonempty set. As it has been defined in 1, a function d : X × X → E is ... See full document

... of F-contractions for multivalued mappings and prove a Suzuki-Hardy-Rogers-type fixed point theorem for such ...fixed point theorem, Nadler’s fixed point theorem and the Banach contraction ... See full document

... a metric space, which is a real generalization of a ...fixed point theorem, Ekland’s variational principle, and Takahashi’s existence the- orem from the metric version to a w-distance ...fixed ... See full document

... proved some fixed point theorems in complete metric ...conditions some random fixed point valued self and non-self mappings are ...Banach contraction ... See full document

... Remark 12 . The hypothesis of Theorem 11 does not ensure the uniqueness of the common fixed point for f and g. This can be seen by taking f and g as identity maps on X, K = 2, ϕ(t) = (1/2)t and Ψ(t) = ... See full document

... generalized metric spaces and extend some well-known related fixed point theorems that recovers a large class of topological spaces including standard metric ... See full document

... set, f and g be self-mappings on X and C(f , g) = {x ∈ X : fx = ...pair f and g are called to be weakly compatible if fgx = gfx for all x ∈ C(f , ...for some x ∈ X, then x is called to ... See full document

... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ... See full document

... of fixed point Theorem by defining 𝑇𝑇 𝐹𝐹 –Contraction as a new contractive condition in complete metric ...– Contraction in complete 𝐺𝐺 -Metric Spaces and we ... See full document

... a contraction condition, Kumam et ...fixed point theorem in ...generalized F-contraction and proved some fixed point theorems for such ...and some others in the ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... applications. Fixed point theorems in fuzzy mathematics are emerging with vigorous hope and vital ...fuzzy metric spaces paves a way for very soothing machinery to develop fixed ... See full document

... dislocated metric spaces in which self distance of a point need not be equal to ...Banach contraction principle in this space, and satisfying certain contractive conditions has been at the ... See full document