SOME FIXED POINT RESULTS IN d-COMPLETE TOPOLOGICAL SPACES

S. Rathee, P. Gupta, V. Narayan Mishra

  DOI:  https://doi.org/10.37418/amsj.9.11.94

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This paper aims to use T-orbitally lower semi-continuous and $w$-continuous functions in $d$-complete topological spaces to validate some fixed point theorems and extend various known results. The paper also seeks to establish, in the setting of $d$-complete topological spaces, Mizoguchi-Takahashi’s type coincidence point theorem for single valued map. The results are supported by illustrative examples.

Keywords: Fixed point, T-orbitally lower semi-continuous function, w-continuous function, MT-function, d-complete topological space.