2022/07/26 "Fixed point theorems for nonself generalized contractions on a large Kasahara space"

Abstract

In this paper we give some fixed point theorems for nonself generalized contractions on a large Kasahara space, which generalize some results given by I.A. Rus and M.-A. \c Serban (I. A. Rus, M.-A. \c Serban, {\it Some fixed point theorems for nonself generalized contractions}, Miskolc Math. Notes, {\bf 17}(2016), no.2, 1021-1031) and by S. Reich and A.J. Zaslavski (S. Reich, A. J. Zaslavski, {\it A note on Rakotch contractions}, Fixed Point Theory, {\bf 9} (2008), no. 1, 267-273) in complete metric spaces. We prove our results without using the completeness of the metric structure.

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“…Let X → be an L-space structure on X and d X : X × X → R + be a metric on X. By definition (see [15], [7], [8], [9]), the triple (X,…”