Fixed Point Theory in -Complete Metric Spaces with Applications

N. Hussain, M. A. Kutbi and P. Salimi

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

The aim of this paper is to introduce new concepts of - -complete metric space and - -continuous function and establish fixed point results for modified - - -rational contraction mappings in - -complete metric spaces. As an application, we derive some Suzuki type fixed point theorems and new fixed point theorems for -graphic-rational contractions. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:280817

DOI: 10.1155/2014/280817

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