Search

The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim [13], where we establish a dynamic information about their other fixed points if there exist i.e the distance between two fixed point in case of metric space and their equivalent in probabilistic metric space. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses. As an application to our main result, we derive a uniqueness fixed point theorem for a selfmapping under strong conditions. [ABSTRACT FROM AUTHOR]

In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed. We also provide an illustrative example. The results are derived on metric spaces with a relation. [ABSTRACT FROM AUTHOR]

This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach’s contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the theory of integral equations. Over a decade researchers have generalized the definition of a metric space and using the technique of fixed point have found solutions to many linear and nonlinear Volterra-Fredholm integral equations. [ABSTRACT FROM AUTHOR]

In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting examples. [ABSTRACT FROM AUTHOR]

In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family of weakly contractive mappings as a proper subset. Fixed point theorems for single and multi-valued mappings, approximating scheme for common fixed point for some mappings, and fixed point theorems for fuzzy mappings are presented. It extends the work of several authors including Bose and Roychowdhury. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to prove a general unique common fixed point theorem for two pairs of mappings using Hausdorf - Pompeiu metric, which generalizes, in a correct form, the results from [8] and extends Theorem 2.4 [9], for occasionally (f, F) - weakly commuting mappings. [ABSTRACT FROM AUTHOR]

In this paper, we establish the existence and uniqueness of solution for a class of initial value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, Schauder' fixed point theorem and the nonlinear alternative of Leray-Schauder type. As applications, two examples are included to show the applicability of our results. [ABSTRACT FROM AUTHOR]

Recently, Azam, Arshad and Beg [4] introduced the notion of cone rectangular metric spaces by replacing the triangular inequality of a cone metric space by a rectangular inequality. In this paper, we introduce the notion of c-chainable cone rectangular metric space and we establish a fixed point theorem for uniformly locally contractive mappings in such spaces. An example is given to illustrate our obtained result. [ABSTRACT FROM AUTHOR]

In this paper we present some xed point results for multivalued operators, which extend the ones given by A.I. Perov and A.V. Kribenko, as well as some recent contributions due to A. Bucur, L. Guran and A. Petrşusel. [ABSTRACT FROM AUTHOR]

In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations [ABSTRACT FROM AUTHOR]