Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] introduced a new metric space named as F-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in F-metric spaces. Our results extend, generalize, and unify several known results in the literature.
The aim of this study is to investigate the existence of solutions for a non-linear neutral differential equation with an unbounded delay. To achieve our goals, we take advantage of fixed point theorems for self-mappings satisfying a generalized ( α , φ ) rational contraction, as well as cyclic contractions in the context of F -metric spaces. We also supply an example to support the new theorem.
The aim of this paper is to prove common fixed point theorems for compatible mappings of type (A) for three self mappings satisfying certain contractive conditions and its topological properties in partial metric spaces.
The aim of this article is to prove some coincidence and fixed point theorems of hybrid contractions involving left total relations and single-valued mappings in the setting of F-metric spaces which was first introduced by Jleli and Samet [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages]. Finally, an example is also presented to verify the effectiveness and applicability of our main results.
The objective of this paper is the study the following nonlinear elliptic problem involving a weight function:-div(a(x)) = f(x, u) in and u = 0 on (P) where, is a regular bounded subset N and N 2, a(x) is a nonnegative function and f(x, t) is allowed to be sign-changing. We employ variational techniques to prove the existence of a nontrivial solution for the problem (P), under some suitable assumptions, when the nonlinearity is asymptotically linear. Then, we prove by the same method the existence of positive solution when the function f is superlinear and subcritical at infinity.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.