Fixed point theory is a central topic in functional analysis that examines conditions under which a mapping in a Banach space admits points that remain invariant under the transformation. Particularly ...
Fixed point theory began with Banach contraction principle in complete metric spaces. Completeness is a major and important condition for fixed point theorems. In this paper, we define orthogonal (E.A ...
S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math. 3 (1922), 133-181. S. Sadiq Bacha, Extentions ...
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