In this paper, we introduce new classes of proximal multi-valued contractions in a metric space and nonexpansive mappings Banach show the existence best proximity points for both classes. Further, mappings, prove point theorem on starshape sets. As consequence, also obtain some fixed theorems. Finally, give examples to illustrate our main results.

In this work, we prove the existence of best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete space). Subsequently, these are employed to establish common result. Finally, provide suitable examples demonstrate validity our results.

Abstract In the commenced work, we establish some best proximity point results for multivalued generalized contractions on partially ordered complete metric spaces along with tactic of altering distance function. Furthermore, deliver examples to elaborate and explain usability attained results. To arouse further interest in subject show its efficacy, devote this work recent applications fractio...