Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy <i>φ</i>-2-Normed Spaces and Non-Archimedean Banach Spaces
Kandhasamy Tamilvanan,
Ali H. Alkhaldi,
Ravi P. Agarwal,
Abdulaziz M. Alanazi
Affiliations
Kandhasamy Tamilvanan
Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Srivilliputhur 601 206, Tamil Nadu, India
Ali H. Alkhaldi
Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia
Ravi P. Agarwal
Department of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA
Abdulaziz M. Alanazi
Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy φ-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.
