in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.

In this paper, we deal to obtain some new complexity results for solving semidefinite optimization (SDO) problem by interior-point methods (IPMs). We define a new proximity function for the SDO by a new kernel function. Furthermore we formulate an algorithm for a primal dual interior-point method (IPM) for the SDO by using the proximity function and give its complexity analysis, and then we sho...

one of the important issues in the monotheistic religions is the felicity and perfection of man. this felicity in islam and christianity is the felicitous transformation of the person so that one becomes near to god or achieves proximity to him. from the perspective of the noble qur’an and the new testament, this is a real ontological transformation, although it is gradual. according to these t...

this paper is concerned with the best proximity pair problem in hilbert spaces. given two subsets $a$ and $b$ of a hilbert space $h$ and the set-valued maps $f:a o 2^ b$ and $g:a_0 o 2^{a_0}$, where $a_0={xin a: |x-y|=d(a,b)~~~mbox{for some}~~~ yin b}$, best proximity pair theorems provide sufficient conditions that ensure the existence of an $x_0in a$ such that $$d(g(x_0),f(x_0))=d(a,b).$$

best approximation results provide an approximate solution to the fixed point equation $tx=x$, when the non-self mapping $t$ has no fixed point. in particular, a well-known best approximation theorem, due to fan cite{5}, asserts that if $k$ is a nonempty compact convex subset of a hausdorff locally convex topological vector space $e$ and $t:krightarrow e$ is a continuous mapping, then there exi...

Cement-based materials are fundamental resources used to in construction. The increase in requests for and consumption of cement products, especially in Iran, indicates that more cement plants should be equipped. This study developed a geographical information system using pairwise comparison based on grey numbers to identify potential sites in which to set up cement plants. A group of five exp...

NASA‘s future communications services will be supplied through a space communications network that mirrors the terrestrial Internet in its capabilities and flexibility. The notional requirements for future data gathering and distribution by this Space Internet have been gathered from NASA’s Earth Science Enterprise (ESE), the Human Exploration and Development in Space (HEDS), and the Space Scie...

In this paper, we address the problems with fast proximity searches for high-dimensional data by using a graph as an index. Graphbased methods that use the k-nearest neighbor graph (KNNG) as an index perform better than tree-based and hash-based methods in terms of search precision and query time. To further improve the performance of the KNNG, the number of edges should be increased. However, ...