In the present paper, we establish fixed point theorems for mappings satisfying generalized weak contractive conditions in soft multiplicative metric space.
The purpose of this paper to propose a finite variable generalized quadratic functional equation with solution. Also investigate Hyers Ulam stability in Random normed space by direct method.
In this paper, we prove the Hyers-Ulamstability of different additive-quadratic functional equations in Random Normed Space (RN-Space) by direct and fixed-point method.
In this paper, we introduce a new concept like soft compatible maps, soft compatible maps, soft compatible map of type-I and soft compatible map of type-II in soft S-metric spaces. Finally, by the influence of these new concepts we will establish common fixed point theorem for four soft self maps on a complete soft S-metric space.
We introduce the concept of generalized \(\beta\) - \(\gamma\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.
Aim of this paper is to investigate the Hyers-Ulam stability of generalized quartic functional equation Sigma(n)(j=1) Empty set[- v(i) + Sigma(j=1,i not equal j) v(j)) (n - 8) Sigma(1=i<j<h<1=n) Empty set(v(i)+v(j)+v(k)+v(l))-(n(2) - 12n+ 28) Sigma(1=i<j<k=n) Empty set(v(i)+v(j)+v(k)) + (n(3)-15n(2)+60n-68/2) Sigma(1=i<j=n) Empty set(v(i)+v(j)) 1=i<n Sigma(1=i<j=n) Empty set(v(i)-v(j)) + Sigma(n)(1=i) Empty set(3v(i)) - (n(4)-17n(3)+86n2 - 148n +558/6) Sigma(n)(i=1) Empty set(v(i)) in random normed space.
In the present paper, we prove some fixed point theorems by using the non-decreasing mapping kappa : R+ -> R+ known as altering distance function or control function, in the context of S-metric space. Further, we explore the property P for these contractive mappings.
The purpose of this paper is to introduce new contractive mapping in S-metric space using new class of function. We establish some fixed point theorems in context of these new contractive mapping in S-metric spaces.
