Integral Equation via Fixed Point Theorems on a New Type of Convex Contraction in <i>b</i>-Metric and 2-Metric Spaces
Gunasekaran Nallaselli,
Arul Joseph Gnanaprakasam,
Gunaseelan Mani,
Zoran D. Mitrović,
Ahmad Aloqaily,
Nabil Mlaiki
Affiliations
Gunasekaran Nallaselli
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, India
Arul Joseph Gnanaprakasam
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, India
Gunaseelan Mani
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Zoran D. Mitrović
Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Ahmad Aloqaily
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nabil Mlaiki
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Our paper is devoted to describing a new way of generalized convex contraction of type-2 in the framework of b-metric spaces and 2-metric spaces. First, the concept of a new generalized convex contraction on b-metric spaces and 2-metric spaces is introduced, and fixed point theorem is extended to these spaces. Some examples supporting our main results are also presented. Finally, we apply our main result to approximating the solution of the Fredholm integral equation.
