The Existence Theorem for Contractive Mappings on wt -distance in b -metric Spaces Endowed with a Graph and its Application
Author(s):
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a wt -distance in b-metric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally G-continuity of mapping and we consider b-metric spaces with graph instead of b -metric spaces, under which can be generalized, improved, enriched and unified a number of recently announced results in the existing literature. Additionally, we elicit all of our main results by a non-trivial example and pose an interesting two open problems for the enthusiastic readers.
Keywords:
Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:13 Issue: 1, Winter 2019
Pages:
1 to 15
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