Fixed point theory is a cornerstone of mathematical analysis that investigates conditions under which maps on metric spaces yield invariant points. Traditionally exemplified by the Banach contraction ...
Carpathian Journal of Mathematics, Vol. 30, No. 2 (2014), pp. 129-137 (9 pages) Hassen, Abbas and Vetro [H. Aydi, M. Abbas and Vetro, Partial Hausdorff metric and Nailer's fixed point theorem on ...
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 ...
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