In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and m...

In this paper we investigate linear parabolic, second-order boundary value problems with mixed boundary conditions on rough domains. Assuming only boundedness/ellipticity on the coefficient function and very mild conditions on the geometry of the domain – including a very weak compatibility condition between the Dirichlet boundary part and its complement – we prove Hölder continuity of the solu...

banach contraction principle has been generalized in different spaces by mathematicians over the years. mustafa and sims [18] proposed a new class of generalized metric spaces, which are called as g-metric spaces. in this type of spaces a non-negative real number is assigned to every triplet of elements. many mathematicians studied extensively various results on g-metric spaces by using the con...

In this paper, we prove a common fixed point theorem for weakly compatible maps in Menger space which generalizes the result of Kutukcu [6] without appeal to continuity on this space. We also cited an example in support of our result. Mathematics Subject Classification: Primary 47H10, Secondary 54H25

We study interacting components and their compatibility with respect to synchronous and asynchronous composition. The behavior of components is formalized by I/O-transition systems. Synchronous composition is based on simultaneous execution of shared output and input actions of two components while asynchronous composition uses unbounded FIFO-buffers for message transfer. In both contexts we st...

Kaneko and Sessa defined the concept of compatibility for multivalued mappings with Hausdorff metric and proved a coincidence point theorem. After then, Pathak defined the concept of weak compatibility and proved a coincidence theorem. In the present work, we define a new type compatibility for multivalued mappings with Hausdorff metric. This new type compatibility is different from compatibili...

In this paper, the concept of semi-compatibility and weak compatibility in Fuzzy metric space has been applied to prove a common fixed point theorem. We improve the result of Kumar and Pant [14] by dropping the condition of continuity of the mapping and using semi-compatibility and weak compatibility of the mappings in place of compatibility.

Consistency and compatibility in component-based applications have been the subject of many methods and approaches, from formally sound ones with difficult practical implementation to pragmatic rules for comparing version meta-data which offer only weak guarantees. This is especially true of many industrial component frameworks in routine use. In this paper we contribute a formal description of...

We study interacting components and their compatibility with respect to synchronous and asynchronous composition. The behavior of components is formalized by I/O-transition systems. Synchronous composition is based on simultaneous execution of shared output and input actions of two components while asynchronous composition uses unbounded FIFO-buffers for message transfer. In both contexts we st...