BEST PROXIMITY THEOREM FOR GENERALIZED (θ,γ)-PROXIMAL CONTRACTION MAPPING IN RECTANGULAR QUASI B- METRIC SPACE

Abstract

This paper explores best proximity point theorems whit in the framework of broad (θ,γ) proximal reduction “mappings in rectangular quasi b-metric spaces”. “We introduce the class of rectangular quasi b- metric” space as a broadening of rectangular metric space, “rectangular quasi” b-metric space, “rectangular b-metric” space,define broad (θ,γ)proximal reduction mappings. Establish situation under which a optimal proximity point exists and provide example to clear my results. Extend previous work on fixed point theorems and contribute to the theory of proximity points in non-standard metric spaces.