220 research outputs found
On the Orthogonal Stability of the Pexiderized Quadratic Equation
The Hyers--Ulam stability of the conditional quadratic functional equation of
Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is
a symmetric orthogonality in the sense of Ratz and f is odd.Comment: 10 pages, Latex; Changed conten
On the stability of Jderivations
In this paper, we establish the stability and superstability of
derivations in algebras for the generalized Jensen--type functional
equation Finally, we
investigate the stability of derivations by using the fixed point
alternative
Multivalued SK-contractions with respect to b-generalized pseudodistances
A new class of multivalued non-self-mappings, called SK-contractions with respect to
b-generalized pseudodistances, is introduced and used to investigate the existence of
best proximity points by using an appropriate geometric property. Some new fixed
point results in b-metric spaces are also obtained. Examples are given to support the
usability of our main result
Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space
[EN] The focus of this paper is to acquaint with generalized condition (B) in a quasi-partial b-metric space and to establish coincidence and common fixed point theorems for weakly compatible pairs of mapping. Additionally, with the background of quasi-partial b-metric space, the outcomes obtained are exemplified to prove the existence and uniqueness of fixed point.Gautam, P.; Sánchez Ruiz, LM.; Verma, S.; Gupta, G. (2021). Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space. Journal of Mathematics. 2021:1-10. https://doi.org/10.1155/2021/5526801S110202
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