Abstract
The following theorem is proved and several fixed point theorems and coincidence theorems are derived as corollaries. Let C be a nonempty convex subset of a normed linear space X, f : C → X a continuous function, g : C → C continuous, onto and almost quasi‐convex. Assume that C has a nonempty compact convex subset D such that the set urn:x-wiley:01611712:media:ijmm571891:ijmm571891-math-0001 is compact.Then there is a point y0 ∈ C such that ‖g(y0) − f(y0)‖ = d(f(y0), C).
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