In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.

The solution to (3) through initial point φ0 is given by φτ = eφ0. Here e−iÂτ denotes the one-parameter group of unitary transformations generated by −iÂ, as described by Stone’s theorem. It follows that the integral curve through φ0 ∈ S2 will stay on the sphere. One concludes that, modulo the domain issues, the restriction of the vector field Aφ to the sphere S2 is a vector field on the sphere...

‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from...

a concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎ ‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎ ‎the parametric‎ ‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎ ‎constraint set $k$...

Egoroff’s theorem is established for set-valued measures, which take values in the family of all non-void, closed subsets of a real normed space using Hausdorff metric by several authors. In this paper, we prove Egoroff’s theorem remains valid for non-additive measures, which take values in a family of sets of topological vector spaces using two types of convergency of set sequences.

in the first part of this paper, some theorems are given for a riemannian manifold with semi-symmetric metric connection. in the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. we obtain some properties of this manifold having the vectors mentioned above.

In this work, we introduce the concept of a hyperbolic valued dislocated metric space, and show that fixed point self-mappings in such spaces is exist unique by using Banach, Kannan Chatterjea type contractions. Furthermore, discuss an illustrative example to substantiate applicability usefulness our main result.

Abstract The goal of this manuscript is to establish quadruple fixed-point and coincidence-point consequences in the setting generalized metric spaces equipped with vector-valued metrics matrix equations. Moreover, some supportive examples corollaries are presented here support theoretical results. Ultimately, results discuss applications our study.

in this paper, we prove a common fixed point theorem for six mappings (two set valued and four single valued mappings) without assuming compatibility and continuity of any mapping on non complete metric spaces. to prove the theorem, we use a non compatible condition, that is, weak commutativity of type (kb). we show that completeness of the whole space is not necessary for the existence and uni...