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...

In spacetime physics, we frequently need to consider a set of all spaces (‘universes’) as a whole. In particular, the concept of ‘closeness’ between spaces is essential. However there has been no established mathematical theory so far which deals with a space of spaces in a suitable manner for spacetime physics. Based on the scheme of the spectral representation of geometry, we construct a spac...

Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the...

Senthil Kumar Prakasam, Arul Joseph Gnanaprakasam, Nasreen Kausar Gunaseelan Mani, Mohammed Munir, and Salahuddin. International Journal of Fuzzy Logic Intelligent Systems 2022;22:287-95. https://doi.org/10.5391/IJFIS.2022.22.3.287

The main objective of this article is to introduce a fixed-point result involving two mappings satisfying contraction in metric-like space. has been designed the following manner. In first section authors have mentioned some definitions and commonly used notations. second section, they results. third introduced their last using these results, obtained conditions that assure existence common fix...

in this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. meantime, an example is provided toillustrate this theorem. the main result shows that a self-mappingon a g-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. afterwards, some results inco...

in this paper, several xed point theorems for t-contraction of two maps on cone metric spaces under normality condition are proved. obtained results extend and generalize well-known comparable results in the literature.

In this paper, we have used the static spherical symmetric metric. The parameter of nonlinearity fields is included in arbitrary function characterizing interaction between electromagnetic and scalar fields. Taking into account own gravitational field elementary particles, obtained exact solutions to equations nonlinear induction. Considering all forms solution Liouville equation, proved that m...