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The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
Inese Bula. "Strictly convex metric spaces with round balls and fixed points." Banach Center Publications 68.1 (2005): 23-29. <http://eudml.org/doc/282205>.
@article{IneseBula2005, abstract = {The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.}, author = {Inese Bula}, journal = {Banach Center Publications}, keywords = {strictly convex Banach space; nonexpansive mappings; strictly convex metric space; strictly convex metric space with round balls; normal structure; fixed point theorem}, language = {eng}, number = {1}, pages = {23-29}, title = {Strictly convex metric spaces with round balls and fixed points}, url = {http://eudml.org/doc/282205}, volume = {68}, year = {2005}, }
TY - JOUR AU - Inese Bula TI - Strictly convex metric spaces with round balls and fixed points JO - Banach Center Publications PY - 2005 VL - 68 IS - 1 SP - 23 EP - 29 AB - The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls. LA - eng KW - strictly convex Banach space; nonexpansive mappings; strictly convex metric space; strictly convex metric space with round balls; normal structure; fixed point theorem UR - http://eudml.org/doc/282205 ER -