[PDF] Top 20 Fixed point theorems for Ćirić type mapping and application to integral equation

... , Ćirić [] proved the following fixed point theorem on a complete metric space, which generalizes the Banach contraction prin- ciple: Let X be a complete metric space and let T : X → X be a ... See full document

... some fixed point theorems in the framework of such ...an application to Volterra type integral equation are given to support the obtained ...Volterra type ... See full document

... random fixed point theory lies in its vast applicability in probabilistic functional analysis and various probabilistic ...random fixed point theorems are stochastic generalization of ... See full document

... fixed point theorems in locally convex ...Krasnosel’skii type fixed point theorems. As an application, we investigate the existence and global attractivity of solutions for a ... See full document

... fixed point theorem for se- quentially weakly continuous mappings has been proved in ...condensing mapping, this new fixed point theorem allowed, in many applications, to avoid some contractiveness ... See full document

... In many practical situations, the weak (sequential) continuity is not easy to be checked or even not satisfied. So, we will interchange this condition by the ws-compactness. Our ap- proach combines the advantages of the ... See full document

... fixed point theorems for this kind of random opera- tors in separable Banach ...fixed point results in the literature, including the results of Okeke and Abbas ... See full document

... In recent years, there has been increasing interest in the study of fixed points and common fixed points of mappings satisfying contractive conditions of integral type, see, for exam- ple, [–] and the ... See full document

... Fixed point theory is one of the most fruitful and applicable topics of nonlinear analysis, which is widely used not only in other mathematical theories, but also in many practical problems of natural ... See full document

... and integral equations. Especially, fixed point method has been shown to be very useful in the study of the existence and uniqueness of solutions for differential ...fixed point the- orems of ... See full document

... fixed point of a mapping on a complete metric space satisfying a general contrac- tive condition of integral ...fixed point the- orems have been obtained by different authors for this setting; ... See full document

... where 0 < k < 1. The Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 1. For its simplicity and usefulness, it has become a very popular tool in solving existence ... See full document

... The objective of this article is both to introduce several mappings satisfying contrac- tive conditions of integral type, one of which extends the mapping (.) and is different from the ... See full document

... fixed point of the mapping T for any arbitrary value of k ∈ (, ...fixed point is guaranteed only when k ∈ (, ) ∩ (,  c ), where, c >  is the least number for which (D)- property is satisfied ... See full document

... The application of fixed point theory in different branches of mathematics, statistics, en- gineering and economics relating to problems associated with approximation theory, the- ory of differential ... See full document

... common fixed point theorems for weak contraction mappings of integral type in modular ...common fixed point of ρ − compatible mappings satisfying a (ϕ − Ψ) − weak ... See full document

... and fixed point theorems of contraction mappings; Any mapping of a complete cone metric space into itself that satisfies, for some 0 ≤ < 1 , the inequality , ≤ , ∀, ∈ has a unique ... See full document

... Fixed point theory became one of the most interesting area of research in the last forty years for instance research about control theory, differential equations, integral equations, economics, and ... See full document

... several fixed point and common fixed point theorems in the frame work of modular spaces have been ...coupled fixed points and later several authors obtained coupled fixed ... See full document

... coupled fixed points of a mapping f is non ...coupled fixed point (x ∗ , y ∗ ) of maping f such that (x ∗ , f (x ∗ , y ∗ )) = (x ∗ , x ∗ ) ∈ ∆ ⊂ E(G) and (y ∗ , f (y ∗ , x ∗ )) = (y ∗ , y ∗ ) ... See full document