[PDF] Top 20 4. Applications of non-unique fixed point theorem of Ciric to nonlinear integral equations

... 2. Nonlinear Fredholm integral equations with non-unique solutions In this section we consider nonlinear Fredholm integral equations of the second ...type ... See full document

... Fixed point theory is one of the most efficient tools in nonlinear functional analysis to solve the nonlinear differential and integral ...differential/integral equations ... See full document

... The fixed point theory is one of the most rapidly growing topic of nonlinear functional anal- ...and integral equations, functional analysis, oper- ator theory, topology and algebraic ... See full document

... Volterra integral equations, see for example [3, 6, 10, ...principle, Theorem 3.2 ensures the existence of a solution of a nonlinear Volterra ... See full document

... random fixed point theorem for two pair of weakly compatible mappings in separable Banach ...the theorem is obtained and an example is given to verify this ...and unique solution of ... See full document

... common fixed point theorems for a pair of mappings in this class, satisfying a weakly compatible ...for nonlinear integral equations on the space of continuous functions and in some of ... See full document

... Integral equations provide important tools for modeling a wide range of phenomena and processes [14] and have found a wide variety of applications in the various field including, mathematical ... See full document

... of fixed point theorems in Banach algebras. Many papers ( [4], [5], [6]) of Dhage deals with the study of non-linear integral equations via fixed point theorems in ... See full document

... Hanebaly, Fixed point theorem and its application to perturbed integral equations in modular function spaces, ...a nonlinear integral equation on C(I, L φ ) is presented, ... See full document

... In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applications ... See full document

... Fixed point theory is considered as one of the most important tools of nonlinear analy- sis that widely applied to optimization, computational algorithms, physics, variational inequalities, ordinary ... See full document

... of fixed point in partially ordered sets has been considered recently in ...Tarski’s theorem is used in [26] to show the existence of solutions for fuzzy equations and in [27] to prove ... See full document

... We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to ... See full document

... functional integral equations and differential equations is a main object of investigations of nonlinear functional ...These equations occur in physical, bio- logical, and economic ... See full document

... Motivated by the above theorems, we first define the concept of proximal mixed g-monotone property and proximally tripled weak (ψ , φ ) contraction on A. We also explore the existence and uniqueness of tripled best ... See full document

... Abstract. In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the ... See full document

... x ∈ M. Since (I – S) is demiclosed, then z = (I – S)x. Hence z ∈ (I – S)M. Consequently, T (M) ⊆ (I – S)(M). Let us denote by τ the map which assigns to each y ∈ M the point τ (y) ∈ M such that (I – S)τ (y) = Ty. ... See full document

... In this setting, Azam et al. [] generalized the Banach contraction principle for two self- maps under rational type contraction. Inspired by the impact of a complex-valued metric space, several authors [, –] ... See full document

... coincidence point of A and S and the set of coincidence points of A and S is denoted by C (A, S), and  is called a point of coincidence of A and ...common point of coincidence of the pairs ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type , Int.. ´ Ciri´ c, Generalized contraction and fixed point theorem , Publ.[r] ... See full document