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).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: International Journal of Mathematics and Mathematical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.