Abstract.In this paper, we state a new form of fixed point theorems on metric spaces and 2-metric spaces which unifies and generalizes many results in the literature. Examples are given to illustrate ...

Carpathian Journal of Mathematics, Vol. 31, No. 3 (2015), pp. 365-371 (7 pages) Based on the concepts and problems introduced in [Rus, I. A., The theory of a metrical fixed point theorem: theoretical ...

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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 Theorems These somewhat implausible laws state that points must reappear in their original positions when the surfaces on which they lie undergo certain deformations. Their practical uses ...