Opial’s Condition and Fixed Point for Nonexpansive Mapping in Banach spaces

Opial’s Condition and Fixed Point for Nonexpansive Mapping in Banach spaces

Opial rsquo;s condition plays an important role in the study of weak convergence of iterates and random products of nonexpansive mappings and of the asymptotic behavior of nonlinear semigroups. In this paper, we prove the weak convergence of a modified Noor iteration for nonself I- nonexpansive mapping in a Banach space which satisfies Opial rsquo;s condition. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved. ...

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[PDF] Approximating fixed points of lambda-firmly nonexpansive mapping ... https://www.emis.de/journals/HOA/IJMMS/Volume24.../725256.pdf‎CachedAPPROXIMATING FIXED POINTS OF λ-FIRMLY NONEXPANSIVE. MAPPINGS IN ... is a uniformly convex Banach space with Opial's condition. Finally, we show ... Fixed points of multivalued nonexpansive mappings in Banach spaces https://fixedpointtheoryandapplications.springeropen.com/.../1687-1812-2012-73‎Cachedmultivalued nonexpansive mapping common fixed point condition (I) weak ..... A Banach space E is said to satisfy Opial's condition [16] if for any sequence {x n } ... [PDF] FIXED POINTS AND COMMON FIXED POINTS FOR ... www.jhs-uma.com/index.php/JHSMS/article/download/183/66‎Cached Similar... point theorems for fundamentally nonexpansive mappings in Banach spaces and ... with the Opial condition and a uniformly convex in every direction. Banach ... Fixed points for multivalued mappings defined on unbounded sets in ... www.sciencedirect.com/science/article/pii/0022247X9190106A‎SimilarWe give some fixed points theorems for multivalued nonexpansive and ... mappings defined on closed convex unbounded subsets of a Banach space. ..... If X is reflexive and satisfies Opial's condition (i.e., if z,, converges weakly to z and z^v ... [PDF] On fixed points of fundamentally nonexpansive mappings in Banach ... ijnaa.semnan.ac.ir/pdf_308_88a47b844eae0a9cf1c79e441057b02f.html‎Cachednonexpansive self-mappings in Banach spaces and show that under certain conditions, the ... X is said to satisfy the Opial condition [5] if whenever a sequence. [PDF] asymptotic behavior of iterates of nonexpansive mappings in ... www.ams.org/proc/.../S0002-9939-1985-0781065-6.pdf‎Similarnonexpansive mapping, defined on a suitable subset of a Banach space with Opial's condition. ... the fixed point set of f, is nonempty and ^(jc), the set of the weak ... We observe that our starting point, i.e. Opial's condition, allows us to avoid the. [PDF] and opial's condition 286 - American Mathematical Society www.ams.org/proc/.../S0002-9939-1973-0310718-0.pdf‎Similarmultivalued nonexpansive mappings in a Banach space satisfying ... Related to the problem of existence of a fixed point for £ and its approxi- mation, Z. Opial [9] ... [PDF] fixed point theorems for multivalued nonexpansive mappings ... grupo.us.es/gfqm127/Dominguez/papers/55.pdf‎Cached Similarthese results to a Banach space satisfying Opial's condition. By using ... fixed point theorem for a multivalued nonexpansive self-mapping in a uniformly. Approximating common fixed points of two nonexpansive mappings ... https://www.researchgate.net/.../231819238_Approximating_common_fixed_points_of_two_nonexpansive_mappings_in_Banach_spaces ... common fixed points of two nonexpansive mappings in Banach spaces on ... T and S in a uniformly convex Banach space which satisfies Opial's condition or ... [PDF] Multivalued Nonexpansive Mappings and Opial's Condition - JStor www.jstor.org/stable/2039278‎Similarmultivalued nonexpansive mappings in a Banach space satisfying ... Related to the problem of existence of a fixed point for T and its approxi- mation, Z. Opial [9] ...