
The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.
coupled fixed point, Multi-valued operator, Best proximity point, Single-valued operator, Ulam-Hyers stability, generalized contraction, well-posedness, coupled best proximity point, QA1-939, Complete metric spaces, multi-valued operator, Special maps on metric spaces, Set-valued maps in general topology, single-valued operator, Fixed-point and coincidence theorems (topological aspects), metric space, data dependence, best proximity point, Fixed point, Coupled fixed point, fixed point, Metric space, Mathematics
coupled fixed point, Multi-valued operator, Best proximity point, Single-valued operator, Ulam-Hyers stability, generalized contraction, well-posedness, coupled best proximity point, QA1-939, Complete metric spaces, multi-valued operator, Special maps on metric spaces, Set-valued maps in general topology, single-valued operator, Fixed-point and coincidence theorems (topological aspects), metric space, data dependence, best proximity point, Fixed point, Coupled fixed point, fixed point, Metric space, Mathematics
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