One Contractive Inequality onQuasi-normed Space
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 7
Abstract
We analyze the existence of fixed points for mappings defined on quasi normed Banach spaces(x,||,-||) satisfying a general contractive inequality of integral type. We are affected from the similar results achieved by A. Branciari and B. E. Rhoades. This condition is extension to Banach-Caccioppolis one. We study mappings f : x for which there exists a real number c ]0,1[such that for each x,y Xwe have where f is a strong measurable mapping which is summable [7],[8, p.1]as well as ||f|| on each compact subset of and such that for each , . We give a general condition which enables one to easily establish fixed point theorems for a pair of maps satisfying a contractive inequality of integral type.
Authors and Affiliations
Elvin Rada, Agron Tato
Keywords
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- EP ID EP651435
- DOI 10.24297/jam.v9i7.2310
- Views 153
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