In this work we define and study new concept of fibrewise topological spaces, namely fibrewise soft topological spaces, Also, we introduce the concepts of fibrewise closed soft topological spaces, fibrewise open soft topological spaces, fibrewise soft near compact spaces and fibrewise locally soft near compact spaces.

We define and study new ideas of fibrewise topological space on D namely fibrewise multi-topological space on D. We also submit the relevance of fibrewise closed and open topological space on D. Also fibrewise multi-locally sliceable and fibrewise multi-locally section able multi-topological space on D. Furthermore, we propose and prove a number of statements about these ideas.

In the present paper, a simply* compact spaces was introduced it defined over simply*- open set previous knowledge and we study the relation between the simply* separation axioms and the compactness, in addition to introduce a new types of functions known as 𝛼𝑆 𝑀∗ _irresolte , 𝛼𝑆 𝑀∗ __𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠 and 𝑅 𝑆 𝑀∗ _ continuous, which are defined between two topological spaces.

We introduce and discuss recent type of fibrewise topological spaces, namely fibrewise soft bitopological spaces. Also, we introduce the concepts of fibrewise closed soft bitopological spaces, fibrewise open soft bitopological spaces, fibrewise locally sliceable soft bitopological spaces and fibrewise locally sectionable soft bitopological spaces. Furthermore, we state and prove several propositions concerning these concepts.

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There are many aspects of inference in the Holy Qur’an, whether it is evidence, evidence, argument, authority, or proof.
These expressions or expressions are close in meaning to each other in appearance, but the Qur’an used them all in their exact place, so every word in the Qur’an has its own use that was set for it, and no other word can replace it even if it is close in meaning to it. And these aspects that the Qur’an mentioned as evidence for the aspects of inference in it may come to be mental, textual, or tactile evidence.
The Qur’an exalted the importance of evidence and proof in its religion, and entrusted it with confirming and rejecting the plaintiff’s claim, regardless of its subject matter

The inner wasteland can be observed in Samuel Beckett’s early and later plays. His characters suffer from loss of identity, emotions, and sense of time. They lead a life of failure, repetition, inaction, loneliness, doubt, suffering, and nothingness. The inner wasteland includes many aspects, such as the multi and split identity, the habitual repetitive element of life, the dark sorrowful life the characters lead, lack of communication and relations among them, their unfree, inactive condition, their foggy terrible recollections, loneliness, dryness of love, and uncertainty. The analysis and the illustration of each aspect will show how the inner wasteland is intensified in the selected later plays of Beckett.

R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.