L

We define the concept of βℱL-admissible for a pair of L-fuzzy mappings and establish the existence of common L-fuzzy fixed point theorem. Our result generalizes some useful results in the literature. We provide an example to support our result

Existence Results for Fuzzy Partial Differential Inclusions

We discuss the existence of solution of a certain type of fuzzy partial differential inclusions with local conditions of integral types

Coincidence Points of a Sequence of Multivalued Mappings in Metric Space with a Graph

In this article the coincidence points of a self map and a sequence of multivalued maps are found in the settings of complete metric space endowed with a graph. A novel result of Asrifa and Vetrivel is generalized and as an application we obtain an existence theorem for a special type of fractional integral equation. Moreover, we establish a result on the convergence of successive approximation of a system of Bernstein operators on a Banach space

Common fixed point results for weakly compatible mappings under contractive conditions of integral type in complex valued metric spaces

In this manuscript, using (E.A) property and (CLR) property common fixed point results for weakly compatible mappings, satisfying integral type contractive condition in complex valued metric spaces are investigated. Keywords: Complex valued metric spaces, Common fixed points, Weakly compatible mappings, Property (E.A), (CLR) propert

Reich–Krasnoselskii-type fixed point results with applications in integral equations

Abstract In this paper, motivated by Reich contraction and tool of measure of noncompactness, some generalizations of Reich, Kannan, Darbo, Sadovskii, and Krasnoselskii type fixed point results are presented by considering a pair of maps A, B on a nonempty closed subset M of a Banach space X into X. The existence of a solution to the equation A x + B x = x $Ax+Bx=x$ , where A is k-set contractive and B is a generalized Reich contraction, is established. As applications, it is established that the main result of this paper can be applied to learn conditions under which a solution of a nonlinear integral equation exists. Further we explain this phenomenon with the help of a practical example to approximate such solutions by using fixed point techniques. The graphs of exact and approximate solutions are also given to attract readers for further research activities

Analysis of JS-contractions with applications to fractional boundary value problems

Abstract In this article, we modify JS-contractions by weakening the conditions on the function θ, where θ : ( 0 , ∞ ) → ( 1 , ∞ ) $\theta : ( 0,\infty ) \rightarrow ( 1,\infty )$ is a strictly increasing function. We prove fixed-point results for obtained contractions. Some examples are given to validate the results and modifications. We use our main theorem to establish the existence results for the solutions of the Atangana–Baleanu–Caputo fractional boundary value problem with integral boundary conditions. We also present a new definition of θ-Ulam stability and find the stability of our fractional boundary value problem