On coincidence and common fixed point of six maps satisfying f-contractions

Coincidence and common fixed point of six self maps satisfying F-contractions are established via common limit in the range property without exploiting the notion of continuity or containment of range space of involved maps or completeness of space/subspace. Our results generalize, extend and improve the analogous recent results in literature.Publisher's Versio

Coincidence and common fixed point of F-contractions via CLRSTCLR_{ST} property

The aim of this paper is to establish the existence of coincidence and common fixed point of F-contractions via CLRST property. Our results generalize, extend and improve the results of Wardowski [D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory and Applications (2012) 2012:94, 6 pages, doi: 10.1186/1687-1812-2012-94], Batra et al. [Coincidence Point Theorem for a New Type of Contraction on Metric Spaces, Int. Journal of Math. Analysis, Vol. 8(27) 2014, 1315-1320] and others existing in literature. Examples are also given in support of our results

Existence and uniqueness theorems for fractional volterra-fredholm integro-differential equations

In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by the analytical approximate. Moreover, we proved the existence and uniqueness results of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique

Existence and uniqueness theorems for fractional volterra-fredholm integro-differential equations

In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by the analytical approximate. Moreover, we proved the existence and uniqueness results of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique