We prove the following generalization of Cartwright–Littlewood fixed point theorem. Suppose h : R 2 → is an orientation preserving planar homeomorphism, and X acyclic continuum. Let C be a component ∩ ( ) . If there c ∈ such that O + ⊆ or − then also contains Our result generalizes earlier results Ostrovski Boroński, answers Question from Boroński (2017). The proof inspired by short Cartwright ...

in this paper, we introduce intuitionistic fuzzy contraction mappingand prove a fixed point theorem in intuitionistic fuzzy metric spaces.

although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.here, after criticizi...

In this paper we present fixed point results for generalized α-ψ-contractive type mappings in dislocated metric spaces. We also provide some examples to illustrate our results. References 1. Banach S., “Surles operations dans les ensembles abstraites et leurs applications”, Fund. Math., 3 (1922), 133-187. 2. Kannan R., “Some results on fixed points”, Bull. Cal. Math. Soc., 60 (1968), 71-76. 3. ...

In this short note we prove, by means of classical fixed point index, an affine version a Birkhoff--Kellogg type theorem in cones. We apply our result to discuss the solvability class boundary value problems for functional differential equations subject conditions. illustrate theoretical results example.

a common fixed point result for weakly increasing mappings satisfying generalized contractive type of zhang in ordered metric spaces are derived.

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

in this short note, we have given a short proof for the existence of the haar measure on commutative locally compact hypergroups based on functional analysis methods by using markov-kakutani fixed point theorem.

In this paper, we study positive periodic solutions to singular second order differential systems. It is proved that such a problem has at least two positive periodic solutions. The proof relies on a nonlinear alternative of Leray–Schauder type and on Krasnosel’skĭı fixed point theorem on compression and expansion of cones.

In this paper, we study the existence of multiple positive solutions for a class of singular m-point boundary value problems with positive parameter. We show the existence of at least two positive solutions by using a new three functionals fixed point theorem in cones.