Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.16, No. 1)Publication Date: 2019-10-13
Authors : Seyed Ali Mohammad Mohsenialhosseini; Morteza Saheli;
Page : 17-34
Keywords : Cyclic maps; $alpha$-asymptotically regular; $F$-Kannan operator; Fuzzy diameter;
- Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces
- Spectral Properties of Fuzzy Compact Linear Operator on Fuzzy Normed Spaces
- Spectral Properties of Fuzzy Compact Linear Operator on Fuzzy Normed Spaces
- $mathcal{I}$-convergence in Fuzzy Cone Normed Spaces
- The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces
Abstract
The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. Using these results, we prove theorems for various types of well-known generalized contractions in fuzzy normed spaces. Also, we apply our results to get an application of approximate fixed point and approximate best proximity pair theorem of their diameter.
Other Latest Articles
- A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators
- DETERMINATION OF ASPHALT CONCRETE VISCOSITY BY THE FOUR-POINT BENDING TEST
- DEPICTION OF MATERIAL CIRCUMSTANCES OF WOMEN IN JEAN SASSON’S NOVELS
- STUDY OF EFFECT Al2O3 NANOPARTICLES ON ELECTRICAL PROPERTIES OF EPOXY REINFORCEMENT BY CARBON FIBERS HYBRID COMPOSITES
- RECONSTITUTIONALITY OF THE 1945 CONSTITUTION AFTER THE FOURTH AMENDMENT
Last modified: 2019-10-14 16:37:35