Browsing by Author "Baloch, Imran Abbas"

Now showing 1 - 3 of 3

Citation - WoS: 6
Citation - Scopus: 9
Solving an Integral Equation by Using Fixed Point Approach in Fuzzy Bipolar Metric Spaces
(Wiley, 2021) Gnanaprakasam, Arul Joseph; Haq, Absar Ul; Jarad, Fahd; Baloch, Imran Abbas; Mani, Gunaseelan
The purpose of this manuscript is to obtain some fixed point results under mild contractive conditions in fuzzy bipolar metric spaces. Our results generalize and extend many of the previous findings in the same approach. Moreover, two examples to support our theorems are obtained. Finally, to examine and strengthen the theoretical results, the existence and uniqueness of the solution to a nonlinear integral equation was studied as a kind of applications.
Citation - WoS: 8
Citation - Scopus: 8
Coupled Fixed Point Theorems on C*-Algebra Valued Bipolar Metric Spaces
(Amer inst Mathematical Sciences-aims, 2022) Gnanaprakasam, Arul Joseph; Ul Haq, Absar; Baloch, Imran Abbas; Jarad, Fahd; Mani, Gunaseelan
In the present paper, we introduce the notion of a C*-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.
Citation - WoS: 2
Citation - Scopus: 6
Common Fixed Point Theorems on Tricomplex Valued Metric Space
(Hindawi Ltd, 2022) Haq, Absar Ul; Gnanaprakasam, Arul Joseph; Baloch, Imran Abbas; Jarad, Fahd; Mani, Gunaseelan
In this paper, we introduce the notion of tricomplex valued metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature well-known results. We also explore some applications of our key results.