Best Proximity Point Theorems for Cyclic θ-φ-contraction on Metric Spaces
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In this paper, we give an extended version of fixed point results for θ-contraction and θ-φ-contraction and define a new type of contraction, namely, cyclic θ-contraction and cyclic θ-φ-contraction in a complete metric space. Moreover, we prove the existence of best proximity point for cyclic θ-contraction and cyclic θ-φ-contraction. Also, we establish best proximity result in the setting of uniformly convex Banach space.
Abstract
In this paper, we give an extended version of fixed point results for θ-contraction and θ-φ-contraction and define a new type of contraction, namely, cyclic θ-contraction and cyclic θ-φ-contraction in a complete metric space. Moreover, we prove the existence of best proximity point for cyclic θ-contraction and cyclic θ-φ-contraction. Also, we establish best proximity result in the setting of uniformly convex Banach space.
참고문헌 (11)
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