Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space This paper defines two new concepts: the concept of multivalued leftweighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space and the concept of multivalued rightweighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space, and demonstrates fixedpoint theorems for them. For these, we demonstrated two fixedpoint existence theorems and their corollaries, by using the properties of the regularglobalinf function and the properties of symmetric generalized metric spaces, respectively. Moreover, we demonstrated that the theorems can be applied in particular cases of inclusion systems. This article contains not only an example of application in science, but also an example of application in real life, in biology, in order to find an equilibrium solution to a preyxe2x80x93predatortype problem. The results of this paper extend theorems for multivalued leftweighted mean contractions in the generalized sense of Nadler, demonstrating that some of the results given by Rus (2008), Murexc8x99an (2002), and Nadler (1969) in metric spaces can also be proved in symmetric generalized metric spaces.

wbCone Distance and Its Related Results: A Survey In this work, we define the concept of a wbcone distance in     t v s    cone bmetric spaces which differs from generalized cdistance in cone bmetric spaces, and we discuss its properties. Our results are significant, since all of the results in fixed point theory with respect to a generalized cdistance can be introduced in the version of wbcone distance. Moreover, using Minkowski functionals in topological vector spaces, we prove the equivalence between some fixed point results with respect to a     w t    distance in general bmetric spaces and a wbcone distance in     t v s    cone bmetric spaces.