Abstract
In this paper, in a b-metric space, we introduce the concept of b-generalized pseudodistances which are the extension of b-metric. Next, inspired by ideas of Singh and Prasad we define a new contractive condition with respect to this b-generalized pseudodistance, and the condition guaranteeing the existence of coincidence points for four mappings. The examples which illustrate the main result are given. The paper includes also the comparison of our result with those existing in literature. MSC:47H10, 54H25, 54E50, 54E35, 45M20.
Highlights
The study of existence and unique problems by iterative approximation originates from the work of Banach [ ] concerning contractive maps.Theorem
In, Singh and Prasad [ ] introduced and established the following interesting and important coincidence points theorem for four maps in b-metric space
In a b-metric space, we introduce the concept of b-generalized pseudodistances which are the extension of b-metric
Summary
The study of existence and unique problems by iterative approximation originates from the work of Banach [ ] concerning contractive maps.Theorem. In , Singh and Prasad [ ] introduced and established the following interesting and important coincidence points theorem for four maps in b-metric space. The following condition holds: there exists q ∈ ( , ) such that qs < and λs
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