Abstract
We prove a related fixed point theorem for set-valued mappings in three Menger spaces. Some examples are also furnished to support the results. Our main result generalizes and extends several known results in the literature.
Highlights
We prove a related fixed point theorem for set-valued mappings in three Menger spaces
Fisher [1] initiated the study of conditions for the existence of a relation connecting the fixed points of two mappings in two different metric spaces
Fisher and Turkoglu [3] proved a related fixed point theorem for setvalued mappings in two metric spaces
Summary
Fisher [1] initiated the study of conditions for the existence of a relation connecting the fixed points of two mappings in two different metric spaces ( see [2]). Fisher and Turkoglu [3] proved a related fixed point theorem for setvalued mappings in two metric spaces. In 2003, Chourasia and Fisher [4] established a related fixed point theorem for two pairs of set valued mappings in two metric spaces. Pant [9] firstly studied related fixed point theorems for single valued mappings in two complete Menger spaces and generalized the results of Fisher [1, 2]. We prove a related fixed point theorem for set-valued mappings in three complete Menger spaces. Our result generalizes the result of Jain et al [6] and extends the result of Fisher and Turkoglu [3]
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